Introduction - Research Explorer | The University of ...
Determining the Electromagnetic Polarizability Tensors of Metal Objects during In-line Scanning Yifei Zhao, Wuliang Yin, Christos Ktistis, Daren Butterworth, and Anthony J. PeytonAbstract— In metal detection systems, the response of a detector to a metal object may be approximated from the electromagnetic polarizability tensor of the object. Conversely, the tensors may be determined from multi-position measurements as the detector and object are moved relative to each other. The paper introduces and sets out the general approach to determining the tensor during in-line scanning. Two common application scenarios are considered, which share similar consideration in the calculation of the tensor components. The first is the case for detectors of landmines or explosive remnants of war, where the detector is scanned on a surface above the object. The condition of this inverse problem depends on the geometry of the coil(s) and the measurement protocol, which at present is not fully understood. Our results consider two cases namely a single line scan over the object as two extreme cases. The results suggest that tensor inversion is possible for the 2D raster scan, but not for a single line scan. The second application is a conveyor type metal detector, which is used with a typical detector for industrial process lines. Here, a new rotation measurement method is proposed and examined for the case of simple coaxial sensor coils and in-line scanning. Finally, different inverse methods are analyzed for the new rotation measurement method.Index Terms— Metal detection; inverse problem; electromagnetic polarizability tensor; dipole moment; finite element modelIntroductionThe electromagnetic polarizability tensor is widely used to approximate the electromagnetic responses of metal detectors to metal objects. There are a number of metal detector configurations, which are widely used in the field for applications such as detection of buried objects, detection of metal contamination on industrial conveyors, and walk through metal detector for personnel screening. This paper concentrates on the first two as these have different types of sensor coils with different measurement protocols. This first one is the planar sensor coils for the landmine/UXO detectors PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5Xb248L0F1dGhvcj48WWVhcj4yMDAxPC9ZZWFyPjxSZWNO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 EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5Xb248L0F1dGhvcj48WWVhcj4yMDAxPC9ZZWFyPjxSZWNO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 EN.CITE.DATA [1-5]. The objects are inspected at a distance to the sensor coil (Fig. 1.). The second one is the symmetric coaxial sensor coils for the in-line metal detectors PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5ZYW1hemFraTwvQXV0aG9yPjxZZWFyPjIwMDI8L1llYXI+
PFJlY051bT4yMjQ8L1JlY051bT48RGlzcGxheVRleHQ+WzYtMTBdPC9EaXNwbGF5VGV4dD48cmVj
b3JkPjxyZWMtbnVtYmVyPjIyNDwvcmVjLW51bWJlcj48Zm9yZWlnbi1rZXlzPjxrZXkgYXBwPSJF
TiIgZGItaWQ9InRzZnQ1ZHNwMXpmenZ3ZWYyZDR2dHRleHBhYXo5eHZhcjU5NSIgdGltZXN0YW1w
PSIxMzcyMjg3OTg5Ij4yMjQ8L2tleT48L2ZvcmVpZ24ta2V5cz48cmVmLXR5cGUgbmFtZT0iSm91
cm5hbCBBcnRpY2xlIj4xNzwvcmVmLXR5cGU+PGNvbnRyaWJ1dG9ycz48YXV0aG9ycz48YXV0aG9y
PllhbWF6YWtpLCBTLjwvYXV0aG9yPjxhdXRob3I+TmFrYW5lLCBILjwvYXV0aG9yPjxhdXRob3I+
VGFuYWthLCBBLjwvYXV0aG9yPjwvYXV0aG9ycz48L2NvbnRyaWJ1dG9ycz48YXV0aC1hZGRyZXNz
PllhbWF6YWtpLCBTJiN4RDtLb2dha3VpbiBVbml2LCBUb2t5byAxNjAsIEphcGFuJiN4RDtLb2dh
a3VpbiBVbml2LCBUb2t5byAxNjAsIEphcGFuJiN4RDtLb2dha3VpbiBVbml2LCBUb2t5byAxNjAs
IEphcGFuJiN4RDtVYmUgTmF0bCBDb2xsIFRlY2hub2wsIFlhbWFndWNoaSwgSmFwYW48L2F1dGgt
YWRkcmVzcz48dGl0bGVzPjx0aXRsZT5CYXNpYyBhbmFseXNpcyBvZiBhIG1ldGFsIGRldGVjdG9y
PC90aXRsZT48c2Vjb25kYXJ5LXRpdGxlPklFRUUgVHJhbnNhY3Rpb25zIG9uIEluc3RydW1lbnRh
dGlvbiBhbmQgTWVhc3VyZW1lbnQ8L3NlY29uZGFyeS10aXRsZT48YWx0LXRpdGxlPklFRUUgVHJh
bnNhY3Rpb25zIG9uIEluc3RydW1lbnRhdGlvbiBhbmQgTWVhc3VyZW1lbnQ8L2FsdC10aXRsZT48
L3RpdGxlcz48cGVyaW9kaWNhbD48ZnVsbC10aXRsZT5JZWVlIFRyYW5zYWN0aW9ucyBvbiBJbnN0
cnVtZW50YXRpb24gYW5kIE1lYXN1cmVtZW50PC9mdWxsLXRpdGxlPjxhYmJyLTE+SWVlZSBUIElu
c3RydW0gTWVhczwvYWJici0xPjwvcGVyaW9kaWNhbD48YWx0LXBlcmlvZGljYWw+PGZ1bGwtdGl0
bGU+SWVlZSBUcmFuc2FjdGlvbnMgb24gSW5zdHJ1bWVudGF0aW9uIGFuZCBNZWFzdXJlbWVudDwv
ZnVsbC10aXRsZT48YWJici0xPkllZWUgVCBJbnN0cnVtIE1lYXM8L2FiYnItMT48L2FsdC1wZXJp
b2RpY2FsPjxwYWdlcz44MTAtODE0PC9wYWdlcz48dm9sdW1lPjUxPC92b2x1bWU+PG51bWJlcj40
PC9udW1iZXI+PGtleXdvcmRzPjxrZXl3b3JkPmZvcmVpZ24gbWV0YWwgb2JqZWN0PC9rZXl3b3Jk
PjxrZXl3b3JkPmxvb3AgYW50ZW5uYTwva2V5d29yZD48a2V5d29yZD5tZXRhbCBkZXRlY3Rvcjwv
a2V5d29yZD48a2V5d29yZD5ub25kZXN0cnVjdGl2ZSB0ZXN0PC9rZXl3b3JkPjxrZXl3b3JkPnNy
cG0gbWV0aG9kPC9rZXl3b3JkPjwva2V5d29yZHM+PGRhdGVzPjx5ZWFyPjIwMDI8L3llYXI+PHB1
Yi1kYXRlcz48ZGF0ZT5BdWd1c3Q8L2RhdGU+PC9wdWItZGF0ZXM+PC9kYXRlcz48aXNibj4wMDE4
LTk0NTY8L2lzYm4+PGFjY2Vzc2lvbi1udW0+SVNJOjAwMDE3ODk5MjAwMDA0NTwvYWNjZXNzaW9u
LW51bT48dXJscz48cmVsYXRlZC11cmxzPjx1cmw+Jmx0O0dvIHRvIElTSSZndDs6Ly8wMDAxNzg5
OTIwMDAwNDU8L3VybD48L3JlbGF0ZWQtdXJscz48L3VybHM+PGVsZWN0cm9uaWMtcmVzb3VyY2Ut
bnVtPkRvaSAxMC4xMTA5L1RpbS4yMDAyLjgwMzM5NzwvZWxlY3Ryb25pYy1yZXNvdXJjZS1udW0+
PGxhbmd1YWdlPkVuZ2xpc2g8L2xhbmd1YWdlPjwvcmVjb3JkPjwvQ2l0ZT48Q2l0ZT48QXV0aG9y
PkJyaWdodG9uPC9BdXRob3I+PFllYXI+MTk5MzwvWWVhcj48UmVjTnVtPjE8L1JlY051bT48cmVj
b3JkPjxyZWMtbnVtYmVyPjE8L3JlYy1udW1iZXI+PGZvcmVpZ24ta2V5cz48a2V5IGFwcD0iRU4i
IGRiLWlkPSJ0c2Z0NWRzcDF6Znp2d2VmMmQ0dnR0ZXhwYWF6OXh2YXI1OTUiIHRpbWVzdGFtcD0i
MTM2OTMyMDQxOCI+MTwva2V5PjwvZm9yZWlnbi1rZXlzPjxyZWYtdHlwZSBuYW1lPSJKb3VybmFs
IEFydGljbGUiPjE3PC9yZWYtdHlwZT48Y29udHJpYnV0b3JzPjxhdXRob3JzPjxhdXRob3I+QnJp
Z2h0b24sIE0uPC9hdXRob3I+PGF1dGhvcj5FbmdsaXNoLCBNLiBKLjwvYXV0aG9yPjwvYXV0aG9y
cz48L2NvbnRyaWJ1dG9ycz48YXV0aC1hZGRyZXNzPkJyaWdodG9uLCBNJiN4RDtVbml2IFN1c3Nl
eCxTY2ggRW5nbixGYWxtZXIsQnJpZ2h0b24gQm4xIDlxdCxFbmdsYW5kJiN4RDtVbml2IFN1c3Nl
eCxTY2ggRW5nbixGYWxtZXIsQnJpZ2h0b24gQm4xIDlxdCxFbmdsYW5kPC9hdXRoLWFkZHJlc3M+
PHRpdGxlcz48dGl0bGU+Q2FsY3VsYXRpb24gb2YgT3B0aW11bSBTcGFjaW5nIGZvciBhIDMgQ29p
bCBBeGlhbGx5LVN5bW1ldHJpY2FsIE1ldGFsIERldGVjdG9yPC90aXRsZT48c2Vjb25kYXJ5LXRp
dGxlPkVsZWN0cm9uaWNzIExldHRlcnM8L3NlY29uZGFyeS10aXRsZT48YWx0LXRpdGxlPkVsZWN0
cm9uIExldHQ8L2FsdC10aXRsZT48L3RpdGxlcz48cGVyaW9kaWNhbD48ZnVsbC10aXRsZT5FbGVj
dHJvbmljcyBMZXR0ZXJzPC9mdWxsLXRpdGxlPjxhYmJyLTE+RWxlY3Ryb24gTGV0dDwvYWJici0x
PjwvcGVyaW9kaWNhbD48YWx0LXBlcmlvZGljYWw+PGZ1bGwtdGl0bGU+RWxlY3Ryb25pY3MgTGV0
dGVyczwvZnVsbC10aXRsZT48YWJici0xPkVsZWN0cm9uIExldHQ8L2FiYnItMT48L2FsdC1wZXJp
b2RpY2FsPjxwYWdlcz44MzgtODM5PC9wYWdlcz48dm9sdW1lPjI5PC92b2x1bWU+PG51bWJlcj4x
MDwvbnVtYmVyPjxrZXl3b3Jkcz48a2V5d29yZD5tZXRhbCBkZXRlY3RvcnM8L2tleXdvcmQ+PGtl
eXdvcmQ+b3B0aW1pemF0aW9uPC9rZXl3b3JkPjxrZXl3b3JkPm1vZGVsaW5nPC9rZXl3b3JkPjxr
ZXl3b3JkPmVsZWN0cm9tYWduZXRpYyBmaWVsZCB0aGVvcnk8L2tleXdvcmQ+PC9rZXl3b3Jkcz48
ZGF0ZXM+PHllYXI+MTk5MzwveWVhcj48cHViLWRhdGVzPjxkYXRlPk1heSAxMzwvZGF0ZT48L3B1
Yi1kYXRlcz48L2RhdGVzPjxpc2JuPjAwMTMtNTE5NDwvaXNibj48YWNjZXNzaW9uLW51bT5JU0k6
QTE5OTNMTjE3NzAwMDA3PC9hY2Nlc3Npb24tbnVtPjx1cmxzPjxyZWxhdGVkLXVybHM+PHVybD4m
bHQ7R28gdG8gSVNJJmd0OzovL0ExOTkzTE4xNzcwMDAwNzwvdXJsPjwvcmVsYXRlZC11cmxzPjwv
dXJscz48bGFuZ3VhZ2U+RW5nbGlzaDwvbGFuZ3VhZ2U+PC9yZWNvcmQ+PC9DaXRlPjxDaXRlPjxB
dXRob3I+TyZhcG9zO1Rvb2xlPC9BdXRob3I+PFllYXI+MjAxNTwvWWVhcj48UmVjTnVtPjY1Njwv
UmVjTnVtPjxyZWNvcmQ+PHJlYy1udW1iZXI+NjU2PC9yZWMtbnVtYmVyPjxmb3JlaWduLWtleXM+
PGtleSBhcHA9IkVOIiBkYi1pZD0idHNmdDVkc3AxemZ6dndlZjJkNHZ0dGV4cGFhejl4dmFyNTk1
IiB0aW1lc3RhbXA9IjE0MjM3NTI3NDEiPjY1Njwva2V5PjwvZm9yZWlnbi1rZXlzPjxyZWYtdHlw
ZSBuYW1lPSJKb3VybmFsIEFydGljbGUiPjE3PC9yZWYtdHlwZT48Y29udHJpYnV0b3JzPjxhdXRo
b3JzPjxhdXRob3I+TSBEIE8mYXBvcztUb29sZTwvYXV0aG9yPjxhdXRob3I+TCBBIE1hcnNoPC9h
dXRob3I+PGF1dGhvcj5KIEwgRGF2aWRzb248L2F1dGhvcj48YXV0aG9yPlkgTSBUYW48L2F1dGhv
cj48YXV0aG9yPkQgVyBBcm1pdGFnZTwvYXV0aG9yPjxhdXRob3I+QSBKIFBleXRvbjwvYXV0aG9y
PjwvYXV0aG9ycz48L2NvbnRyaWJ1dG9ycz48dGl0bGVzPjx0aXRsZT5Ob24tY29udGFjdCBtdWx0
aS1mcmVxdWVuY3kgbWFnbmV0aWMgaW5kdWN0aW9uIHNwZWN0cm9zY29weSBzeXN0ZW0gZm9yIGlu
ZHVzdHJpYWwtc2NhbGUgYmlvLWltcGVkYW5jZSBtZWFzdXJlbWVudDwvdGl0bGU+PHNlY29uZGFy
eS10aXRsZT5NZWFzdXJlbWVudCBTY2llbmNlIGFuZCBUZWNobm9sb2d5PC9zZWNvbmRhcnktdGl0
bGU+PC90aXRsZXM+PHBlcmlvZGljYWw+PGZ1bGwtdGl0bGU+TWVhc3VyZW1lbnQgU2NpZW5jZSBh
bmQgVGVjaG5vbG9neTwvZnVsbC10aXRsZT48L3BlcmlvZGljYWw+PHBhZ2VzPjAzNTEwMjwvcGFn
ZXM+PHZvbHVtZT4yNjwvdm9sdW1lPjxudW1iZXI+MzwvbnVtYmVyPjxkYXRlcz48eWVhcj4yMDE1
PC95ZWFyPjwvZGF0ZXM+PGlzYm4+MDk1Ny0wMjMzPC9pc2JuPjx1cmxzPjxyZWxhdGVkLXVybHM+
PHVybD5odHRwOi8vc3RhY2tzLmlvcC5vcmcvMDk1Ny0wMjMzLzI2L2k9My9hPTAzNTEwMjwvdXJs
PjwvcmVsYXRlZC11cmxzPjwvdXJscz48L3JlY29yZD48L0NpdGU+PENpdGU+PEF1dGhvcj5aaGFv
PC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVjTnVtPjU5NzwvUmVjTnVtPjxyZWNvcmQ+PHJl
Yy1udW1iZXI+NTk3PC9yZWMtbnVtYmVyPjxmb3JlaWduLWtleXM+PGtleSBhcHA9IkVOIiBkYi1p
ZD0idHNmdDVkc3AxemZ6dndlZjJkNHZ0dGV4cGFhejl4dmFyNTk1IiB0aW1lc3RhbXA9IjE0MTgx
MjY0MDEiPjU5Nzwva2V5PjwvZm9yZWlnbi1rZXlzPjxyZWYtdHlwZSBuYW1lPSJKb3VybmFsIEFy
dGljbGUiPjE3PC9yZWYtdHlwZT48Y29udHJpYnV0b3JzPjxhdXRob3JzPjxhdXRob3I+Wmhhbywg
WWlmZWkgPC9hdXRob3I+PGF1dGhvcj5ZaW4sIFd1bGlhbmc8L2F1dGhvcj48YXV0aG9yPkt0aXN0
aXMsIEMuPC9hdXRob3I+PGF1dGhvcj5CdXR0ZXJ3b3J0aCwgRC48L2F1dGhvcj48YXV0aG9yPlBl
eXRvbiwgQS4gSi48L2F1dGhvcj48L2F1dGhvcnM+PC9jb250cmlidXRvcnM+PHRpdGxlcz48dGl0
bGU+T24gdGhlIExvdy1GcmVxdWVuY3kgRWxlY3Ryb21hZ25ldGljIFJlc3BvbnNlcyBvZiBJbi1M
aW5lIE1ldGFsIERldGVjdG9ycyB0byBNZXRhbCBDb250YW1pbmFudHM8L3RpdGxlPjxzZWNvbmRh
cnktdGl0bGU+SUVFRSBUcmFuc2FjdGlvbnMgb24gSW5zdHJ1bWVudGF0aW9uIGFuZCBNZWFzdXJl
bWVudDwvc2Vjb25kYXJ5LXRpdGxlPjwvdGl0bGVzPjxwZXJpb2RpY2FsPjxmdWxsLXRpdGxlPkll
ZWUgVHJhbnNhY3Rpb25zIG9uIEluc3RydW1lbnRhdGlvbiBhbmQgTWVhc3VyZW1lbnQ8L2Z1bGwt
dGl0bGU+PGFiYnItMT5JZWVlIFQgSW5zdHJ1bSBNZWFzPC9hYmJyLTE+PC9wZXJpb2RpY2FsPjxw
YWdlcz4zMTgxLTMxODk8L3BhZ2VzPjx2b2x1bWU+NjM8L3ZvbHVtZT48bnVtYmVyPjEyPC9udW1i
ZXI+PGtleXdvcmRzPjxrZXl3b3JkPmVpZ2VudmFsdWVzIGFuZCBlaWdlbmZ1bmN0aW9uczwva2V5
d29yZD48a2V5d29yZD5lbGVjdHJvbWFnbmV0aWMgd2F2ZSBwb2xhcmlzYXRpb248L2tleXdvcmQ+
PGtleXdvcmQ+bWF0cml4IGFsZ2VicmE8L2tleXdvcmQ+PGtleXdvcmQ+bWV0YWwgZGV0ZWN0b3Jz
PC9rZXl3b3JkPjxrZXl3b3JkPnRlbnNvcnM8L2tleXdvcmQ+PGtleXdvcmQ+ZGlwb2xlIHNvbHV0
aW9uPC9rZXl3b3JkPjxrZXl3b3JkPmVpZ2VudmFsdWUgbWF0cml4PC9rZXl3b3JkPjxrZXl3b3Jk
PmVsZWN0cm9tYWduZXRpYyBwb2xhcml6YWJpbGl0eSBtYXRyaXg8L2tleXdvcmQ+PGtleXdvcmQ+
ZWxlY3Ryb21hZ25ldGljIHBvbGFyaXphYmlsaXR5IHRlbnNvcjwva2V5d29yZD48a2V5d29yZD5p
bi1saW5lIG1ldGFsIGRldGVjdG9yczwva2V5d29yZD48a2V5d29yZD5sb3ctZnJlcXVlbmN5IGVs
ZWN0cm9tYWduZXRpYyByZXNwb25zZXM8L2tleXdvcmQ+PGtleXdvcmQ+bWFnbmV0aWMgZmllbGRz
PC9rZXl3b3JkPjxrZXl3b3JkPm1ldGFsIGNvbnRhbWluYW50czwva2V5d29yZD48a2V5d29yZD5t
ZXRhbCBzcGhlcmU8L2tleXdvcmQ+PGtleXdvcmQ+bWV0YWwgdGFyZ2V0czwva2V5d29yZD48a2V5
d29yZD5yb3RhdGlvbiBtYXRyaXg8L2tleXdvcmQ+PGtleXdvcmQ+c3BoZXJlIHNhbXBsZXM8L2tl
eXdvcmQ+PGtleXdvcmQ+c3BoZXJpY2FsIHJlc3BvbnNlIGZ1bmN0aW9uPC9rZXl3b3JkPjxrZXl3
b3JkPndpcmUgc2FtcGxlczwva2V5d29yZD48a2V5d29yZD5Db250YW1pbmF0aW9uPC9rZXl3b3Jk
PjxrZXl3b3JkPkRldGVjdG9yczwva2V5d29yZD48a2V5d29yZD5NZXRhbHM8L2tleXdvcmQ+PGtl
eXdvcmQ+U2Vuc2l0aXZpdHk8L2tleXdvcmQ+PGtleXdvcmQ+V2lyZXM8L2tleXdvcmQ+PGtleXdv
cmQ+RGlwb2xlIG1vbWVudDwva2V5d29yZD48a2V5d29yZD5tZXRhbCBkZXRlY3Rpb248L2tleXdv
cmQ+PGtleXdvcmQ+bWV0YWwgZGV0ZWN0aW9uLjwva2V5d29yZD48L2tleXdvcmRzPjxkYXRlcz48
eWVhcj4yMDE0PC95ZWFyPjwvZGF0ZXM+PGlzYm4+MDAxOC05NDU2PC9pc2JuPjx1cmxzPjwvdXJs
cz48ZWxlY3Ryb25pYy1yZXNvdXJjZS1udW0+MTAuMTEwOS9USU0uMjAxNC4yMzI0NzkxPC9lbGVj
dHJvbmljLXJlc291cmNlLW51bT48L3JlY29yZD48L0NpdGU+PENpdGU+PEF1dGhvcj5DaG9pPC9B
dXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVjTnVtPjY3NDwvUmVjTnVtPjxyZWNvcmQ+PHJlYy1u
dW1iZXI+Njc0PC9yZWMtbnVtYmVyPjxmb3JlaWduLWtleXM+PGtleSBhcHA9IkVOIiBkYi1pZD0i
dHNmdDVkc3AxemZ6dndlZjJkNHZ0dGV4cGFhejl4dmFyNTk1IiB0aW1lc3RhbXA9IjE0NDA3NTE5
OTciPjY3NDwva2V5PjwvZm9yZWlnbi1rZXlzPjxyZWYtdHlwZSBuYW1lPSJKb3VybmFsIEFydGlj
bGUiPjE3PC9yZWYtdHlwZT48Y29udHJpYnV0b3JzPjxhdXRob3JzPjxhdXRob3I+Q2hvaSwgS3lv
byBOYW08L2F1dGhvcj48L2F1dGhvcnM+PC9jb250cmlidXRvcnM+PHRpdGxlcz48dGl0bGU+VHdv
LUNoYW5uZWwgTWV0YWwgRGV0ZWN0b3IgVXNpbmcgVHdvIFBlcnBlbmRpY3VsYXIgQW50ZW5uYXM8
L3RpdGxlPjxzZWNvbmRhcnktdGl0bGU+Sm91cm5hbCBvZiBTZW5zb3JzPC9zZWNvbmRhcnktdGl0
bGU+PC90aXRsZXM+PHBlcmlvZGljYWw+PGZ1bGwtdGl0bGU+Sm91cm5hbCBvZiBTZW5zb3JzPC9m
dWxsLXRpdGxlPjwvcGVyaW9kaWNhbD48cGFnZXM+MTE8L3BhZ2VzPjx2b2x1bWU+MjAxNDwvdm9s
dW1lPjxkYXRlcz48eWVhcj4yMDE0PC95ZWFyPjwvZGF0ZXM+PHVybHM+PHJlbGF0ZWQtdXJscz48
dXJsPmh0dHA6Ly9keC5kb2kub3JnLzEwLjExNTUvMjAxNC80MTI2MjE8L3VybD48L3JlbGF0ZWQt
dXJscz48L3VybHM+PGN1c3RvbTc+NDEyNjIxPC9jdXN0b203PjxlbGVjdHJvbmljLXJlc291cmNl
LW51bT4xMC4xMTU1LzIwMTQvNDEyNjIxPC9lbGVjdHJvbmljLXJlc291cmNlLW51bT48L3JlY29y
ZD48L0NpdGU+PC9FbmROb3RlPgB=
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5ZYW1hemFraTwvQXV0aG9yPjxZZWFyPjIwMDI8L1llYXI+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ADDIN EN.CITE.DATA [6-10]. The objects are transported through the sensor coils for inspection (Fig.3.). Walk through metal detectors contain two panels of coils; their design is somewhat different to the former two and has already has been considered elsewhere PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5EaGFnYXQ8L0F1dGhvcj48WWVhcj4yMDA4PC9ZZWFyPjxS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ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5EaGFnYXQ8L0F1dGhvcj48WWVhcj4yMDA4PC9ZZWFyPjxS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ADDIN EN.CITE.DATA [11-13] in detail.In landmine/UXO detection and geophysics, the electromagnetic polarizability tensors of metal objects are employed to discriminate of metal objects, e.g. landmines or UXO from other unwanted metal signals, e.g. metal clutters PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5Ob3J0b248L0F1dGhvcj48WWVhcj4yMDAxPC9ZZWFyPjxS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ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5Ob3J0b248L0F1dGhvcj48WWVhcj4yMDAxPC9ZZWFyPjxS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ADDIN EN.CITE.DATA [1, 14-26]. These electromagnetic polarizability tensors are inverted from the measurements of the metal targets at various locations below a planar magnetic sensor PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5NYXJzaDwvQXV0aG9yPjxZZWFyPjIwMTU8L1llYXI+PFJl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 EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5NYXJzaDwvQXV0aG9yPjxZZWFyPjIwMTU8L1llYXI+PFJl
Y051bT42Njc8L1JlY051bT48RGlzcGxheVRleHQ+WzEsIDMsIDE0LTE3XTwvRGlzcGxheVRleHQ+
PHJlY29yZD48cmVjLW51bWJlcj42Njc8L3JlYy1udW1iZXI+PGZvcmVpZ24ta2V5cz48a2V5IGFw
cD0iRU4iIGRiLWlkPSJ0c2Z0NWRzcDF6Znp2d2VmMmQ0dnR0ZXhwYWF6OXh2YXI1OTUiIHRpbWVz
dGFtcD0iMTQ0MDQyMTQ0MyI+NjY3PC9rZXk+PC9mb3JlaWduLWtleXM+PHJlZi10eXBlIG5hbWU9
IkNvbmZlcmVuY2UgUHJvY2VlZGluZ3MiPjEwPC9yZWYtdHlwZT48Y29udHJpYnV0b3JzPjxhdXRo
b3JzPjxhdXRob3I+TWFyc2gsIEwuIEEuPC9hdXRob3I+PGF1dGhvcj5BYmRlbCBSZWhpbSwgTy4g
QS48L2F1dGhvcj48YXV0aG9yPlRhbiwgWS4gTS48L2F1dGhvcj48YXV0aG9yPk8mYXBvcztUb29s
ZSwgTS4gRC48L2F1dGhvcj48YXV0aG9yPkFybWl0YWdlLCBELiBXLjwvYXV0aG9yPjxhdXRob3I+
UGV5dG9uLCBBLiBKLjwvYXV0aG9yPjwvYXV0aG9ycz48L2NvbnRyaWJ1dG9ycz48dGl0bGVzPjx0
aXRsZT5EZXNpZ24gb2YgZWxlY3Ryb21hZ25ldGljIHNlbnNvciBhcnJheXMgb3B0aW1pc2VkIGZv
ciBpbnZlcnNpb24gb2YgdGhlIG1hZ25ldGljIHBvbGFyaXNhYmlsaXR5IHRlbnNvcjwvdGl0bGU+
PHNlY29uZGFyeS10aXRsZT5TZW5zb3JzIEFwcGxpY2F0aW9ucyBTeW1wb3NpdW0gKFNBUyksIDIw
MTUgSUVFRTwvc2Vjb25kYXJ5LXRpdGxlPjxhbHQtdGl0bGU+U2Vuc29ycyBBcHBsaWNhdGlvbnMg
U3ltcG9zaXVtIChTQVMpLCAyMDE1IElFRUU8L2FsdC10aXRsZT48L3RpdGxlcz48cGFnZXM+MS00
PC9wYWdlcz48a2V5d29yZHM+PGtleXdvcmQ+Y29pbHM8L2tleXdvcmQ+PGtleXdvcmQ+ZWxlY3Ry
b21hZ25ldGljIGRldmljZXM8L2tleXdvcmQ+PGtleXdvcmQ+ZWxlY3Ryb21hZ25ldGljIGluZHVj
dGlvbjwva2V5d29yZD48a2V5d29yZD5pbnZlcnNlIHByb2JsZW1zPC9rZXl3b3JkPjxrZXl3b3Jk
Pm1ldGFsIGRldGVjdG9yczwva2V5d29yZD48a2V5d29yZD5vcHRpbWlzYXRpb248L2tleXdvcmQ+
PGtleXdvcmQ+cG9sYXJpc2FiaWxpdHk8L2tleXdvcmQ+PGtleXdvcmQ+c2Vuc29yIGFycmF5czwv
a2V5d29yZD48a2V5d29yZD50ZW5zb3JzPC9rZXl3b3JkPjxrZXl3b3JkPmNvaWwgYXJyYXk8L2tl
eXdvcmQ+PGtleXdvcmQ+ZWxlY3Ryb21hZ25ldGljIHNlbnNvciBhcnJheSBkZXNpZ24gb3B0aW1p
c2F0aW9uPC9rZXl3b3JkPjxrZXl3b3JkPm1hZ25ldGljIHBvbGFyaXNhYmlsaXR5IHRlbnNvciBp
bnZlcnNpb248L2tleXdvcmQ+PGtleXdvcmQ+bm9pc2UgdGVzdGluZzwva2V5d29yZD48a2V5d29y
ZD5zZW5zaXRpdml0eSBtYXAgc2ltdWxhdGlvbjwva2V5d29yZD48a2V5d29yZD5EZXRlY3RvcnM8
L2tleXdvcmQ+PGtleXdvcmQ+R2VvbWV0cnk8L2tleXdvcmQ+PGtleXdvcmQ+TGFuZG1pbmUgZGV0
ZWN0aW9uPC9rZXl3b3JkPjxrZXl3b3JkPk1ldGFsczwva2V5d29yZD48a2V5d29yZD5TZW5zaXRp
dml0eTwva2V5d29yZD48a2V5d29yZD5UZW5zaWxlIHN0cmVzczwva2V5d29yZD48a2V5d29yZD5F
UlcgZGV0ZWN0aW9uPC9rZXl3b3JkPjxrZXl3b3JkPmludmVyc2lvbjwva2V5d29yZD48a2V5d29y
ZD5tYWduZXRpYyBwb2xhcmlzYWJpbGl0eSB0ZW5zb3I8L2tleXdvcmQ+PC9rZXl3b3Jkcz48ZGF0
ZXM+PHllYXI+MjAxNTwveWVhcj48cHViLWRhdGVzPjxkYXRlPjEzLTE1IEFwcmlsIDIwMTU8L2Rh
dGU+PC9wdWItZGF0ZXM+PC9kYXRlcz48dXJscz48L3VybHM+PGVsZWN0cm9uaWMtcmVzb3VyY2Ut
bnVtPjEwLjExMDkvU0FTLjIwMTUuNzEzMzY1MzwvZWxlY3Ryb25pYy1yZXNvdXJjZS1udW0+PC9y
ZWNvcmQ+PC9DaXRlPjxDaXRlPjxBdXRob3I+R3J6ZWdvcmN6eWs8L0F1dGhvcj48WWVhcj4yMDEx
PC9ZZWFyPjxSZWNOdW0+NzI8L1JlY051bT48cmVjb3JkPjxyZWMtbnVtYmVyPjcyPC9yZWMtbnVt
YmVyPjxmb3JlaWduLWtleXM+PGtleSBhcHA9IkVOIiBkYi1pZD0idHNmdDVkc3AxemZ6dndlZjJk
NHZ0dGV4cGFhejl4dmFyNTk1IiB0aW1lc3RhbXA9IjEzNzAxMjYyMzQiPjcyPC9rZXk+PC9mb3Jl
aWduLWtleXM+PHJlZi10eXBlIG5hbWU9IkpvdXJuYWwgQXJ0aWNsZSI+MTc8L3JlZi10eXBlPjxj
b250cmlidXRvcnM+PGF1dGhvcnM+PGF1dGhvcj5HcnplZ29yY3p5aywgVC4gTS48L2F1dGhvcj48
YXV0aG9yPkJhcnJvd2VzLCBCLiBFLjwvYXV0aG9yPjxhdXRob3I+U2h1Yml0aWR6ZSwgRi48L2F1
dGhvcj48YXV0aG9yPkZlcm5hbmRleiwgSi4gUC48L2F1dGhvcj48YXV0aG9yPk8mYXBvcztOZWls
bCwgSy48L2F1dGhvcj48L2F1dGhvcnM+PC9jb250cmlidXRvcnM+PGF1dGgtYWRkcmVzcz5Hcnpl
Z29yY3p5aywgVE0mI3hEO0RlbHBzaSBMTEMsIE5ld3RvbiwgTUEgMDI0NTggVVNBJiN4RDtEZWxw
c2kgTExDLCBOZXd0b24sIE1BIDAyNDU4IFVTQSYjeEQ7RGVscHNpIExMQywgTmV3dG9uLCBNQSAw
MjQ1OCBVU0EmI3hEO1VTQSwgQ29sZCBSZWcgUmVzICZhbXA7IEVuZ24gTGFiLCBIYW5vdmVyLCBO
SCAwMzc1NSBVU0EmI3hEO0RhcnRtb3V0aCBDb2xsLCBUaGF5ZXIgU2NoIEVuZ24sIEVsZWN0cm9t
YWduZXQgU2Vuc2luZyBHcnAsIEhhbm92ZXIsIE5IIDAzNzU1IFVTQTwvYXV0aC1hZGRyZXNzPjx0
aXRsZXM+PHRpdGxlPlNpbXVsdGFuZW91cyBJZGVudGlmaWNhdGlvbiBvZiBNdWx0aXBsZSBVbmV4
cGxvZGVkIE9yZG5hbmNlIFVzaW5nIEVsZWN0cm9tYWduZXRpYyBJbmR1Y3Rpb24gU2Vuc29yczwv
dGl0bGU+PHNlY29uZGFyeS10aXRsZT5JRUVFIFRyYW5zYWN0aW9ucyBvbiBHZW9zY2llbmNlIGFu
ZCBSZW1vdGUgU2Vuc2luZzwvc2Vjb25kYXJ5LXRpdGxlPjxhbHQtdGl0bGU+SUVFRSBUcmFuc2Fj
dGlvbnMgb24gR2Vvc2NpZW5jZSBhbmQgUmVtb3RlIFNlbnNpbmc8L2FsdC10aXRsZT48L3RpdGxl
cz48cGVyaW9kaWNhbD48ZnVsbC10aXRsZT5JZWVlIFRyYW5zYWN0aW9ucyBvbiBHZW9zY2llbmNl
IGFuZCBSZW1vdGUgU2Vuc2luZzwvZnVsbC10aXRsZT48YWJici0xPkllZWUgVCBHZW9zY2kgUmVt
b3RlPC9hYmJyLTE+PC9wZXJpb2RpY2FsPjxhbHQtcGVyaW9kaWNhbD48ZnVsbC10aXRsZT5JZWVl
IFRyYW5zYWN0aW9ucyBvbiBHZW9zY2llbmNlIGFuZCBSZW1vdGUgU2Vuc2luZzwvZnVsbC10aXRs
ZT48YWJici0xPkllZWUgVCBHZW9zY2kgUmVtb3RlPC9hYmJyLTE+PC9hbHQtcGVyaW9kaWNhbD48
cGFnZXM+MjUwNy0yNTE3PC9wYWdlcz48dm9sdW1lPjQ5PC92b2x1bWU+PG51bWJlcj43PC9udW1i
ZXI+PGtleXdvcmRzPjxrZXl3b3JkPmVsZWN0cm9tYWduZXRpYyBpbmR1Y3Rpb248L2tleXdvcmQ+
PGtleXdvcmQ+Z2F1c3MtbmV3dG9uIG1ldGhvZDwva2V5d29yZD48a2V5d29yZD5zdWJzdXJmYWNl
IHNlbnNpbmc8L2tleXdvcmQ+PGtleXdvcmQ+dW5leHBsb2RlZCBvcmRuYW5jZSAodXhvKTwva2V5
d29yZD48a2V5d29yZD5pbmRlcGVuZGVudCBjb21wb25lbnQgYW5hbHlzaXM8L2tleXdvcmQ+PGtl
eXdvcmQ+bWV0YWxsaWMgb2JqZWN0czwva2V5d29yZD48a2V5d29yZD5hcmJpdHJhcnkgZXhjaXRh
dGlvbjwva2V5d29yZD48a2V5d29yZD51eG8gZGV0ZWN0aW9uPC9rZXl3b3JkPjxrZXl3b3JkPmRp
c2NyaW1pbmF0aW9uPC9rZXl3b3JkPjxrZXl3b3JkPnRhcmdldHM8L2tleXdvcmQ+PGtleXdvcmQ+
c2NhdHRlcmluZzwva2V5d29yZD48a2V5d29yZD5zdXJmYWNlPC9rZXl3b3JkPjxrZXl3b3JkPm1v
ZGVsPC9rZXl3b3JkPjwva2V5d29yZHM+PGRhdGVzPjx5ZWFyPjIwMTE8L3llYXI+PHB1Yi1kYXRl
cz48ZGF0ZT5KdWx5PC9kYXRlPjwvcHViLWRhdGVzPjwvZGF0ZXM+PGlzYm4+MDE5Ni0yODkyPC9p
c2JuPjxhY2Nlc3Npb24tbnVtPklTSTowMDAyOTIxMTE4MDAwMDQ8L2FjY2Vzc2lvbi1udW0+PHVy
bHM+PHJlbGF0ZWQtdXJscz48dXJsPiZsdDtHbyB0byBJU0kmZ3Q7Oi8vMDAwMjkyMTExODAwMDA0
PC91cmw+PC9yZWxhdGVkLXVybHM+PC91cmxzPjxlbGVjdHJvbmljLXJlc291cmNlLW51bT5Eb2kg
MTAuMTEwOS9UZ3JzLjIwMTEuMjEwODMwMjwvZWxlY3Ryb25pYy1yZXNvdXJjZS1udW0+PGxhbmd1
YWdlPkVuZ2xpc2g8L2xhbmd1YWdlPjwvcmVjb3JkPjwvQ2l0ZT48Q2l0ZT48QXV0aG9yPkJlbGw8
L0F1dGhvcj48WWVhcj4xOTk4PC9ZZWFyPjxSZWNOdW0+MTA0PC9SZWNOdW0+PHJlY29yZD48cmVj
LW51bWJlcj4xMDQ8L3JlYy1udW1iZXI+PGZvcmVpZ24ta2V5cz48a2V5IGFwcD0iRU4iIGRiLWlk
PSJ0c2Z0NWRzcDF6Znp2d2VmMmQ0dnR0ZXhwYWF6OXh2YXI1OTUiIHRpbWVzdGFtcD0iMTM3MDEy
NzEyMCI+MTA0PC9rZXk+PC9mb3JlaWduLWtleXM+PHJlZi10eXBlIG5hbWU9IkpvdXJuYWwgQXJ0
aWNsZSI+MTc8L3JlZi10eXBlPjxjb250cmlidXRvcnM+PGF1dGhvcnM+PGF1dGhvcj5CZWxsLCBU
LiBILjwvYXV0aG9yPjxhdXRob3I+QmFycm93LCBCLjwvYXV0aG9yPjxhdXRob3I+S2hhZHIsIE4u
PC9hdXRob3I+PC9hdXRob3JzPjwvY29udHJpYnV0b3JzPjxhdXRoLWFkZHJlc3M+QmVsbCwgVEgm
I3hEO0FFVEMgSW5jLCAxMjI1IEplZmZlcnNvbiBEYXZpcyBIaWdod2F5LFN1aXRlIDgwMCwgQXJs
aW5ndG9uLCBWQSAyMjIwMiBVU0EmI3hEO0FFVEMgSW5jLCAxMjI1IEplZmZlcnNvbiBEYXZpcyBI
aWdod2F5LFN1aXRlIDgwMCwgQXJsaW5ndG9uLCBWQSAyMjIwMiBVU0EmI3hEO0FFVEMgSW5jLCBB
cmxpbmd0b24sIFZBIDIyMjAyIFVTQTwvYXV0aC1hZGRyZXNzPjx0aXRsZXM+PHRpdGxlPlNoYXBl
LWJhc2VkIGNsYXNzaWZpY2F0aW9uIGFuZCBkaXNjcmltaW5hdGlvbiBvZiBzdWJzdXJmYWNlIG9i
amVjdHMgdXNpbmcgZWxlY3Ryb21hZ25ldGljIGluZHVjdGlvbjwvdGl0bGU+PHNlY29uZGFyeS10
aXRsZT5JbnRlcm5hdGlvbmFsIEdlb3NjaWVuY2UgYW5kIFJlbW90ZSBTZW5zaW5nIFN5bXBvc2l1
bSwgUHJvY2VlZGluZ3M8L3NlY29uZGFyeS10aXRsZT48YWx0LXRpdGxlPkludCBHZW9zY2kgUmVt
b3RlIFNlPC9hbHQtdGl0bGU+PC90aXRsZXM+PGFsdC1wZXJpb2RpY2FsPjxmdWxsLXRpdGxlPkln
YXJzcyAmYXBvczs5OCAtIDE5OTggSW50ZXJuYXRpb25hbCBHZW9zY2llbmNlIGFuZCBSZW1vdGUg
U2Vuc2luZyBTeW1wb3NpdW0sIFByb2NlZWRpbmdzIFZvbHMgMS01PC9mdWxsLXRpdGxlPjxhYmJy
LTE+SW50IEdlb3NjaSBSZW1vdGUgU2U8L2FiYnItMT48L2FsdC1wZXJpb2RpY2FsPjxwYWdlcz41
MDktNTEzPC9wYWdlcz48dm9sdW1lPjEtNTwvdm9sdW1lPjxkYXRlcz48eWVhcj4xOTk4PC95ZWFy
PjwvZGF0ZXM+PGFjY2Vzc2lvbi1udW0+SVNJOjAwMDA3NTIxNzEwMDE2NzwvYWNjZXNzaW9uLW51
bT48dXJscz48cmVsYXRlZC11cmxzPjx1cmw+Jmx0O0dvIHRvIElTSSZndDs6Ly8wMDAwNzUyMTcx
MDAxNjc8L3VybD48L3JlbGF0ZWQtdXJscz48L3VybHM+PGxhbmd1YWdlPkVuZ2xpc2g8L2xhbmd1
YWdlPjwvcmVjb3JkPjwvQ2l0ZT48Q2l0ZT48QXV0aG9yPk5vcnRvbjwvQXV0aG9yPjxZZWFyPjIw
MDE8L1llYXI+PFJlY051bT42PC9SZWNOdW0+PHJlY29yZD48cmVjLW51bWJlcj42PC9yZWMtbnVt
YmVyPjxmb3JlaWduLWtleXM+PGtleSBhcHA9IkVOIiBkYi1pZD0idHNmdDVkc3AxemZ6dndlZjJk
NHZ0dGV4cGFhejl4dmFyNTk1IiB0aW1lc3RhbXA9IjEzNjk4MjIyODkiPjY8L2tleT48L2ZvcmVp
Z24ta2V5cz48cmVmLXR5cGUgbmFtZT0iSm91cm5hbCBBcnRpY2xlIj4xNzwvcmVmLXR5cGU+PGNv
bnRyaWJ1dG9ycz48YXV0aG9ycz48YXV0aG9yPk5vcnRvbiwgUy4gSi48L2F1dGhvcj48YXV0aG9y
PldvbiwgSS4gSi48L2F1dGhvcj48L2F1dGhvcnM+PC9jb250cmlidXRvcnM+PGF1dGgtYWRkcmVz
cz5Ob3J0b24sIFNKJiN4RDtHZW9waGV4IEx0ZCwgUmFsZWlnaCwgTkMgMjc2MDMgVVNBJiN4RDtH
ZW9waGV4IEx0ZCwgUmFsZWlnaCwgTkMgMjc2MDMgVVNBPC9hdXRoLWFkZHJlc3M+PHRpdGxlcz48
dGl0bGU+SWRlbnRpZmljYXRpb24gb2YgYnVyaWVkIHVuZXhwbG9kZWQgb3JkbmFuY2UgZnJvbSBi
cm9hZGJhbmQgZWxlY3Ryb21hZ25ldGljIGluZHVjdGlvbiBkYXRhPC90aXRsZT48c2Vjb25kYXJ5
LXRpdGxlPklFRUUgVHJhbnNhY3Rpb25zIG9uIEdlb3NjaWVuY2UgYW5kIFJlbW90ZSBTZW5zaW5n
PC9zZWNvbmRhcnktdGl0bGU+PC90aXRsZXM+PHBlcmlvZGljYWw+PGZ1bGwtdGl0bGU+SWVlZSBU
cmFuc2FjdGlvbnMgb24gR2Vvc2NpZW5jZSBhbmQgUmVtb3RlIFNlbnNpbmc8L2Z1bGwtdGl0bGU+
PGFiYnItMT5JZWVlIFQgR2Vvc2NpIFJlbW90ZTwvYWJici0xPjwvcGVyaW9kaWNhbD48cGFnZXM+
MjI1My0yMjYxPC9wYWdlcz48dm9sdW1lPjM5PC92b2x1bWU+PG51bWJlcj4xMDwvbnVtYmVyPjxk
YXRlcz48eWVhcj4yMDAxPC95ZWFyPjxwdWItZGF0ZXM+PGRhdGU+T2N0b2JlcjwvZGF0ZT48L3B1
Yi1kYXRlcz48L2RhdGVzPjxpc2JuPjAxOTYtMjg5MjwvaXNibj48YWNjZXNzaW9uLW51bT5JU0k6
MDAwMTcxNjgwNDAwMDE3PC9hY2Nlc3Npb24tbnVtPjx1cmxzPjxyZWxhdGVkLXVybHM+PHVybD4m
bHQ7R28gdG8gSVNJJmd0OzovLzAwMDE3MTY4MDQwMDAxNzwvdXJsPjwvcmVsYXRlZC11cmxzPjwv
dXJscz48bGFuZ3VhZ2U+RW5nbGlzaDwvbGFuZ3VhZ2U+PC9yZWNvcmQ+PC9DaXRlPjxDaXRlPjxB
dXRob3I+Tm9ydG9uPC9BdXRob3I+PFllYXI+MjAwMTwvWWVhcj48UmVjTnVtPjI4MzwvUmVjTnVt
PjxyZWNvcmQ+PHJlYy1udW1iZXI+MjgzPC9yZWMtbnVtYmVyPjxmb3JlaWduLWtleXM+PGtleSBh
cHA9IkVOIiBkYi1pZD0idHNmdDVkc3AxemZ6dndlZjJkNHZ0dGV4cGFhejl4dmFyNTk1IiB0aW1l
c3RhbXA9IjEzNzMzOTAxMjkiPjI4Mzwva2V5PjwvZm9yZWlnbi1rZXlzPjxyZWYtdHlwZSBuYW1l
PSJKb3VybmFsIEFydGljbGUiPjE3PC9yZWYtdHlwZT48Y29udHJpYnV0b3JzPjxhdXRob3JzPjxh
dXRob3I+Tm9ydG9uLCBTLiBKPC9hdXRob3I+PGF1dGhvcj5Xb24sIEkuIEouPC9hdXRob3I+PGF1
dGhvcj5DZXNwZWRlcywgRS4gUjwvYXV0aG9yPjwvYXV0aG9ycz48L2NvbnRyaWJ1dG9ycz48dGl0
bGVzPjx0aXRsZT5PcmRuYW5jZS9DbHV0dGVyIERpc2NyaW1pbmF0aW9uIEJhc2VkIG9uIFRhcmdl
dCBFaWdlbnZhbHVlIEFuYWx5c2lzPC90aXRsZT48c2Vjb25kYXJ5LXRpdGxlPlN1YnN1cmZhY2Ug
U2Vuc2luZyBUZWNobm9sb2dpZXMgYW5kIEFwcGxpY2F0aW9uczwvc2Vjb25kYXJ5LXRpdGxlPjxh
bHQtdGl0bGU+U3Vic3VyZmFjZSBTZW5zaW5nIFRlY2hub2xvZ2llcyBhbmQgQXBwbGljYXRpb25z
PC9hbHQtdGl0bGU+PC90aXRsZXM+PHBlcmlvZGljYWw+PGZ1bGwtdGl0bGU+U3Vic3VyZmFjZSBT
ZW5zaW5nIFRlY2hub2xvZ2llcyBhbmQgQXBwbGljYXRpb25zPC9mdWxsLXRpdGxlPjwvcGVyaW9k
aWNhbD48YWx0LXBlcmlvZGljYWw+PGZ1bGwtdGl0bGU+U3Vic3VyZmFjZSBTZW5zaW5nIFRlY2hu
b2xvZ2llcyBhbmQgQXBwbGljYXRpb25zPC9mdWxsLXRpdGxlPjwvYWx0LXBlcmlvZGljYWw+PHBh
Z2VzPjI4NS0yOTg8L3BhZ2VzPjx2b2x1bWU+Mjwvdm9sdW1lPjxudW1iZXI+MzwvbnVtYmVyPjxr
ZXl3b3Jkcz48a2V5d29yZD5VbmV4cGxvZGVkIG9yZG5hbmNlPC9rZXl3b3JkPjxrZXl3b3JkPmVs
ZWN0cm9tYWduZXRpYyBpbmR1Y3Rpb248L2tleXdvcmQ+PGtleXdvcmQ+c3Vic3VyZmFjZSBkZXRl
Y3Rpb248L2tleXdvcmQ+PGtleXdvcmQ+dGFyZ2V0IGRpc2NyaW1pbmF0aW9uPC9rZXl3b3JkPjxr
ZXl3b3JkPnRhcmdldCByZWNvZ25pdGlvbjwva2V5d29yZD48L2tleXdvcmRzPjxkYXRlcz48eWVh
cj4yMDAxPC95ZWFyPjxwdWItZGF0ZXM+PGRhdGU+MjAwMS8wNy8wMTwvZGF0ZT48L3B1Yi1kYXRl
cz48L2RhdGVzPjxwdWJsaXNoZXI+S2x1d2VyIEFjYWRlbWljIFB1Ymxpc2hlcnMtUGxlbnVtIFB1
Ymxpc2hlcnM8L3B1Ymxpc2hlcj48aXNibj4xNTY2LTAxODQ8L2lzYm4+PHVybHM+PHJlbGF0ZWQt
dXJscz48dXJsPmh0dHA6Ly9keC5kb2kub3JnLzEwLjEwMjMvQSUzQTEwMTE5MzA0MjIyMTc8L3Vy
bD48L3JlbGF0ZWQtdXJscz48L3VybHM+PGVsZWN0cm9uaWMtcmVzb3VyY2UtbnVtPjEwLjEwMjMv
YToxMDExOTMwNDIyMjE3PC9lbGVjdHJvbmljLXJlc291cmNlLW51bT48bGFuZ3VhZ2U+RW5nbGlz
aDwvbGFuZ3VhZ2U+PC9yZWNvcmQ+PC9DaXRlPjxDaXRlPjxBdXRob3I+V29uPC9BdXRob3I+PFll
YXI+MjAwMTwvWWVhcj48UmVjTnVtPjEyODwvUmVjTnVtPjxyZWNvcmQ+PHJlYy1udW1iZXI+MTI4
PC9yZWMtbnVtYmVyPjxmb3JlaWduLWtleXM+PGtleSBhcHA9IkVOIiBkYi1pZD0idHNmdDVkc3Ax
emZ6dndlZjJkNHZ0dGV4cGFhejl4dmFyNTk1IiB0aW1lc3RhbXA9IjEzNzA4MDg1OTciPjEyODwv
a2V5PjwvZm9yZWlnbi1rZXlzPjxyZWYtdHlwZSBuYW1lPSJKb3VybmFsIEFydGljbGUiPjE3PC9y
ZWYtdHlwZT48Y29udHJpYnV0b3JzPjxhdXRob3JzPjxhdXRob3I+V29uLCBJLiBKLjwvYXV0aG9y
PjxhdXRob3I+S2Vpc3dldHRlciwgRC4gQS48L2F1dGhvcj48YXV0aG9yPkJlbGwsIFQuIEguPC9h
dXRob3I+PC9hdXRob3JzPjwvY29udHJpYnV0b3JzPjxhdXRoLWFkZHJlc3M+V29uLCBJSiYjeEQ7
R2VvcGhleCBMdGQsIFJhbGVpZ2gsIE5DIDI3NjAzIFVTQSYjeEQ7R2VvcGhleCBMdGQsIFJhbGVp
Z2gsIE5DIDI3NjAzIFVTQSYjeEQ7QUVUQywgQXJsaW5ndG9uLCBWQSAyMjIwMiBVU0E8L2F1dGgt
YWRkcmVzcz48dGl0bGVzPjx0aXRsZT5FbGVjdHJvbWFnbmV0aWMgaW5kdWN0aW9uIHNwZWN0cm9z
Y29weSBmb3IgY2xlYXJpbmcgbGFuZG1pbmVzPC90aXRsZT48c2Vjb25kYXJ5LXRpdGxlPklFRUUg
VHJhbnNhY3Rpb25zIG9uIEdlb3NjaWVuY2UgYW5kIFJlbW90ZSBTZW5zaW5nPC9zZWNvbmRhcnkt
dGl0bGU+PC90aXRsZXM+PHBlcmlvZGljYWw+PGZ1bGwtdGl0bGU+SWVlZSBUcmFuc2FjdGlvbnMg
b24gR2Vvc2NpZW5jZSBhbmQgUmVtb3RlIFNlbnNpbmc8L2Z1bGwtdGl0bGU+PGFiYnItMT5JZWVl
IFQgR2Vvc2NpIFJlbW90ZTwvYWJici0xPjwvcGVyaW9kaWNhbD48cGFnZXM+NzAzLTcwOTwvcGFn
ZXM+PHZvbHVtZT4zOTwvdm9sdW1lPjxudW1iZXI+NDwvbnVtYmVyPjxrZXl3b3Jkcz48a2V5d29y
ZD5hdXRvbWF0aWMgdGFyZ2V0IHJlY29nbml0aW9uIChhdHIpPC9rZXl3b3JkPjxrZXl3b3JkPmJy
b2FkYmFuZCBlbWkgc2Vuc29yPC9rZXl3b3JkPjxrZXl3b3JkPmNsdXR0ZXIgcmVkdWN0aW9uPC9r
ZXl3b3JkPjxrZXl3b3JkPmRldGVjdGlvbjwva2V5d29yZD48a2V5d29yZD5kaXNjcmltaW5hdGlv
bjwva2V5d29yZD48a2V5d29yZD5lbGVjdHJvbWFnbmV0aWMgaW5kdWN0aW9uIChlbWkpPC9rZXl3
b3JkPjxrZXl3b3JkPmVsZWN0cm9tYWduZXRpYyBpbmR1Y3Rpb24gc3BlY3Ryb3Njb3B5IChlbWlz
KTwva2V5d29yZD48a2V5d29yZD5nZW0tMzwva2V5d29yZD48a2V5d29yZD5pZGVudGlmaWNhdGlv
bjwva2V5d29yZD48a2V5d29yZD5sYW5kbWluZTwva2V5d29yZD48L2tleXdvcmRzPjxkYXRlcz48
eWVhcj4yMDAxPC95ZWFyPjxwdWItZGF0ZXM+PGRhdGU+QXByaWw8L2RhdGU+PC9wdWItZGF0ZXM+
PC9kYXRlcz48aXNibj4wMTk2LTI4OTI8L2lzYm4+PGFjY2Vzc2lvbi1udW0+SVNJOjAwMDE2ODI0
NjIwMDAwMTwvYWNjZXNzaW9uLW51bT48dXJscz48cmVsYXRlZC11cmxzPjx1cmw+Jmx0O0dvIHRv
IElTSSZndDs6Ly8wMDAxNjgyNDYyMDAwMDE8L3VybD48L3JlbGF0ZWQtdXJscz48L3VybHM+PGxh
bmd1YWdlPkVuZ2xpc2g8L2xhbmd1YWdlPjwvcmVjb3JkPjwvQ2l0ZT48L0VuZE5vdGU+
ADDIN EN.CITE.DATA [1, 3, 14-17]. The multi-position measurements are theoretically independent only when the metal targets are exposed to incident magnetic fields from different directions at different measured positions, as illustrated in Fig. 1.. These independent measurements are determined by both the geometry of sensor coils and measurement protocol.Experimental configurations for multi-position measurements of landmine/UXO detection and geophysicsThe in-line type of metal detector is widely utilized in food and pharmaceutical manufacture lines to prevent hidden metal contaminants ADDIN EN.CITE <EndNote><Cite><Author>Lock</Author><Year>1990</Year><RecNum>205</RecNum><DisplayText>[27]</DisplayText><record><rec-number>205</rec-number><foreign-keys><key app="EN" db-id="tsft5dsp1zfzvwef2d4vttexpaaz9xvar595" timestamp="1371940602">205</key></foreign-keys><ref-type name="Classical Work">49</ref-type><contributors><authors><author>Andrew Lock</author></authors></contributors><titles><title>The Guide to Reducing Metal Contamination in the Food Processing Industry</title></titles><dates><year>1990</year></dates><pub-location>Tampa, Florida.</pub-location><publisher>Safeline Inc.</publisher><urls></urls></record></Cite></EndNote>[27]. They discriminate the metal fragments from unwanted product signals and provide compliance with food and pharmacy safety inspection standards, industry guidance and legislations ADDIN EN.CITE <EndNote><Cite><Author>Agriculture</Author><Year>1995</Year><RecNum>308</RecNum><DisplayText>[28]</DisplayText><record><rec-number>308</rec-number><foreign-keys><key app="EN" db-id="tsft5dsp1zfzvwef2d4vttexpaaz9xvar595" timestamp="1374502058">308</key></foreign-keys><ref-type name="Legal Rule or Regulation">50</ref-type><contributors><authors><author>United States Department of Agriculture</author></authors><secondary-authors><author>United States Department of Agriculture</author></secondary-authors></contributors><titles><title>Metal Detection</title><secondary-title>614</secondary-title></titles><dates><year>1995</year></dates><pub-location>United States</pub-location><publisher>United States Department of Agriculture</publisher><urls></urls></record></Cite></EndNote>[28]. Balanced sensor coil array PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE.DATA [9]In-line metal detectors employ a balanced sensor coil array to eliminate the background signals as shown in Fig. 2.. The metal target is transported through the aperture of the detector by a conveyor. The target is exposed to incident magnetic fields from mainly one direction, e.g. x direction in Fig. 3.. Therefore, the multi-position measurements for landmine/UXO detectors may not be directly applied to in-line metal detectors to measure the electromagnetic polarizability tensors ADDIN EN.CITE <EndNote><Cite><Author>Zhao</Author><Year>2015</Year><RecNum>16</RecNum><DisplayText>[29]</DisplayText><record><rec-number>16</rec-number><foreign-keys><key app="EN" db-id="wfffxppwg0evsne2zx15f9xqv5rpfrz0zp9s" timestamp="1432201574">16</key></foreign-keys><ref-type name="Conference Proceedings">10</ref-type><contributors><authors><author>Zhao, Yifei </author><author>Yin, Wuliang</author><author>Ktistis, C.</author><author>Peyton, A. J.</author><author>Butterworth, D.</author></authors></contributors><titles><title>Determining the Electromagnetic Polarizability Tensors of Metal Objects from Rotation Measurements</title><secondary-title>IEEE International Instrumentation and Measurement Technology Conference</secondary-title></titles><dates><year>2015</year></dates><pub-location>Pisa, Italy</pub-location><isbn>978-1-4799-6113-9</isbn><urls></urls></record></Cite></EndNote>[29]. Therefore, a different approach is needed such as rotating the metal target and passing it several times through the detector with different angles, α, β, and γ as depicted in Fig.3., between the global and local coordinates.Experimental configurations for rotation measurements of in-line metal detectorsIn this paper, first, the theories of both the current multi-position measurement method and the new rotation measurement method will be fully elaborated. The independence of these measurements is evaluated by determining the ranks of their sensitivity matrices.Second, both the current multi-position measurements for the landmine detectors and the new rotation measurements for the in-line metal detector will be analyzed by the simulations in a finite element method (FEM) solver. In the multi-position measurement simulation, two types of planar sensor coils with different measurement protocols in the landmine detectors are simulated as undesired and desired cases for the electromagnetic tensor inversion. The undesired case is a simple co-axial sensor coils and in-line scanning (Fig. 4). The desired case is a complex sensor coils and 2D raster scanning (Fig. 5). It concluded that the independence of measurements can be evaluated by the calculated rank of inverse matrix. Furthermore, the multi-position measurement cannot be applied to in-line metal detectors for tensor inversion.In the rotation measurement simulation, a metal target is placed and rotated in a balanced sensor coil array, which is similar to the in-line metal detector. It concluded that the rotation measurements can accurately determine the electromagnetic polarizability tensor from an undesired case for tensor inversion with multi-position measurement.Third, the rotation measurements are implemented on a commercial in-line detector to further verify this method. The electromagnetic polarizability tensors of metal targets are directly inversed from the rotation measurements by Gaussian elimination. These inversion results are compared to the calculated tensors from our previous paper PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE.DATA [9] and demonstrated a high coherence.Last, different direct and iterative inversion methods are employed for the electromagnetic polarizability tensor inversions, in addition to Gaussian elimination.TheoryThe dipole approximation equation was derived to analyze the electromagnetic responses of small metal objects, e.g. landmine/UXO with the dimension of a few centimeters and metal contaminants with the dimension of a few millimeters PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5EYXM8L0F1dGhvcj48WWVhcj4xOTkwPC9ZZWFyPjxSZWNO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ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5EYXM8L0F1dGhvcj48WWVhcj4xOTkwPC9ZZWFyPjxSZWNO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ADDIN EN.CITE.DATA [9, 14, 25]. The secondary magnetic fields from a metal target are represented by a multi-pole expansion PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5Ob3J0b248L0F1dGhvcj48WWVhcj4yMDAxPC9ZZWFyPjxS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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5Ob3J0b248L0F1dGhvcj48WWVhcj4yMDAxPC9ZZWFyPjxS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==
ADDIN EN.CITE.DATA [14, 20, 30]. The first term from this expansion is dominant for small objects and therefore the magnetic dipole moment m is used to approximate the secondary magnetic fields. Then the induced voltages on the receivers from the secondary fields VRx are derived by the reciprocity principle PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5EYXM8L0F1dGhvcj48WWVhcj4xOTkwPC9ZZWFyPjxSZWNO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ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5EYXM8L0F1dGhvcj48WWVhcj4xOTkwPC9ZZWFyPjxSZWNO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ADDIN EN.CITE.DATA [25, 26].m=M?HT???VRx=jωμ0IRHR?m=jωμ0IRHR?M?HT???M=M11M12M13M21M22M23M31M32M33???Here M is the electromagnetic polarizability tensor, which is a 3 x 3 complex matrix and mainly determined by the characteristics of the metal target. HT and HR are the incident magnetic fields from the transmitter coil and receiver coils respectively. Their values at the observation points can be obtained from numerical methods, by defining the exciting current IT and the assumed receiver current IR as 1 A amplitude. In landmine/UXO detection, these observation points are located a few centimeters below the planar sensor coil ADDIN EN.CITE <EndNote><Cite><Author>Kaneko</Author><Year>2013</Year><RecNum>677</RecNum><DisplayText>[31]</DisplayText><record><rec-number>677</rec-number><foreign-keys><key app="EN" db-id="tsft5dsp1zfzvwef2d4vttexpaaz9xvar595" timestamp="1441027283">677</key></foreign-keys><ref-type name="Conference Proceedings">10</ref-type><contributors><authors><author>Kaneko, A. M.</author><author>Endo, G.</author><author>Fukushima, E. F.</author></authors></contributors><titles><title>Landmine buried depth estimation by curve characterization of metal mine detector signals</title><secondary-title>Intelligent Robots and Systems (IROS), 2013 IEEE/RSJ International Conference on</secondary-title><alt-title>Intelligent Robots and Systems (IROS), 2013 IEEE/RSJ International Conference on</alt-title></titles><pages>5327-5332</pages><keywords><keyword>landmine detection</keyword><keyword>manipulators</keyword><keyword>curve characterization</keyword><keyword>high precision scanning</keyword><keyword>humanitarian demining operations</keyword><keyword>landmine affected areas</keyword><keyword>landmine buried depth estimation</keyword><keyword>metal fragments</keyword><keyword>metallic targets depths</keyword><keyword>minefield</keyword><keyword>robotic manipulator</keyword><keyword>spatially represented metal mine detector signals</keyword><keyword>Databases</keyword><keyword>Detectors</keyword><keyword>Estimation</keyword><keyword>Materials</keyword><keyword>Steel</keyword></keywords><dates><year>2013</year><pub-dates><date>3-7 Nov. 2013</date></pub-dates></dates><isbn>2153-0858</isbn><urls></urls><electronic-resource-num>10.1109/IROS.2013.6697127</electronic-resource-num></record></Cite></EndNote>[31] (Fig. 1.). For in-line metal detectors, these observation points are placed at trajectories through the aperture of detector ADDIN EN.CITE <EndNote><Cite><Author>Lock</Author><Year>1990</Year><RecNum>205</RecNum><DisplayText>[27]</DisplayText><record><rec-number>205</rec-number><foreign-keys><key app="EN" db-id="tsft5dsp1zfzvwef2d4vttexpaaz9xvar595" timestamp="1371940602">205</key></foreign-keys><ref-type name="Classical Work">49</ref-type><contributors><authors><author>Andrew Lock</author></authors></contributors><titles><title>The Guide to Reducing Metal Contamination in the Food Processing Industry</title></titles><dates><year>1990</year></dates><pub-location>Tampa, Florida.</pub-location><publisher>Safeline Inc.</publisher><urls></urls></record></Cite></EndNote>[27] (Fig. 3.). From ADDIN EN.CITE <EndNote><Cite><Author>Silvester</Author><Year>1996</Year><RecNum>3</RecNum><DisplayText>[32]</DisplayText><record><rec-number>3</rec-number><foreign-keys><key app="EN" db-id="tsft5dsp1zfzvwef2d4vttexpaaz9xvar595" timestamp="1369822160">3</key></foreign-keys><ref-type name="Journal Article">17</ref-type><contributors><authors><author>Silvester, P. P.</author><author>Omeragic, D.</author></authors></contributors><auth-address>Mcgill Univ,Dept Elect Engn,Montreal,Pq H3a 2a7,Canada</auth-address><titles><title>Sensitivity maps for metal detector design</title><secondary-title>IEEE Transactions on Geoscience and Remote Sensing</secondary-title><alt-title>Ieee T Geosci Remote</alt-title></titles><periodical><full-title>Ieee Transactions on Geoscience and Remote Sensing</full-title><abbr-1>Ieee T Geosci Remote</abbr-1></periodical><alt-periodical><full-title>Ieee Transactions on Geoscience and Remote Sensing</full-title><abbr-1>Ieee T Geosci Remote</abbr-1></alt-periodical><pages>788-792</pages><volume>34</volume><number>3</number><keywords><keyword>coil</keyword></keywords><dates><year>1996</year><pub-dates><date>May</date></pub-dates></dates><isbn>0196-2892</isbn><accession-num>ISI:A1996UM31400018</accession-num><urls><related-urls><url><Go to ISI>://A1996UM31400018</url></related-urls></urls><electronic-resource-num>Doi 10.1109/36.499783</electronic-resource-num><language>English</language></record></Cite></EndNote>[32], the dot product of HT and HR is defined as the sensitivity of the metal detector, which is only determined by the coil geometry instead of the targets. So the metal targets are not included in the simulations of incident magnetic fields. As usual, j is the imaginary unit, ω is the angular frequency of the coil currents and μ0 is the magnetic permeability of vacuum.Electromagnetic Tensor Inversion from Multi-position MeasurementsDue to the reciprocity theorem, the electromagnetic tensor matrix in equation (3) is always symmetric. So M12=M21, M13=M31 and M23=M32. Then equation (2) can be simplified to the equation below PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5EZWtkb3VrPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5EZWtkb3VrPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48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==
ADDIN EN.CITE.DATA [12, 30, 33].VRx=jωμ0IRh?PT???Here P=M11,M12,M13,M22,M23,M33 is an unknown vector of electromagnetic tensor elements. h=hxx,hxy,hxz,hyy,hyz,hzz=HT_xHR_x, HT_xHR_y+HT_yHR_x, HT_xHR_z+HT_zHR_x, HT_yHR_y, HT_yHR_z+HT_zHR_y, HT_zHR_z is a known vector of incident magnetic fields obtained from FEM simulations or in-situ measurements. The superscript T describes the matrix transpose. Equation (4) can be solved by minimizing the least squares problem below.12VRx(P)-VRxm2min??? Here VRxm is the measured response signal of metal object and VRx(P) is the approximated metal object response from equation (4). The inversion of electromagnetic tensor vector P from equation (5) can be implemented by iterative methods, e.g. regularized Gauss Newton PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5EZWtkb3VrPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48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ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5EZWtkb3VrPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48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ADDIN EN.CITE.DATA [13, 30] or direct methods, e.g. singular value decomposition ADDIN EN.CITE <EndNote><Cite><Author>Norton</Author><Year>2001</Year><RecNum>6</RecNum><DisplayText>[14]</DisplayText><record><rec-number>6</rec-number><foreign-keys><key app="EN" db-id="tsft5dsp1zfzvwef2d4vttexpaaz9xvar595" timestamp="1369822289">6</key></foreign-keys><ref-type name="Journal Article">17</ref-type><contributors><authors><author>Norton, S. J.</author><author>Won, I. J.</author></authors></contributors><auth-address>Norton, SJ
Geophex Ltd, Raleigh, NC 27603 USA
Geophex Ltd, Raleigh, NC 27603 USA</auth-address><titles><title>Identification of buried unexploded ordnance from broadband electromagnetic induction data</title><secondary-title>IEEE Transactions on Geoscience and Remote Sensing</secondary-title></titles><periodical><full-title>Ieee Transactions on Geoscience and Remote Sensing</full-title><abbr-1>Ieee T Geosci Remote</abbr-1></periodical><pages>2253-2261</pages><volume>39</volume><number>10</number><dates><year>2001</year><pub-dates><date>October</date></pub-dates></dates><isbn>0196-2892</isbn><accession-num>ISI:000171680400017</accession-num><urls><related-urls><url><Go to ISI>://000171680400017</url></related-urls></urls><language>English</language></record></Cite></EndNote>[14]. Here, the direct Gauss elimination method is used to implement the electromagnetic tensor inversion.If N measurements are made at N different positions, the optimized 6 elements in P for equation (5) are expected to fulfil the equation below. Here h is an N x 6 matrix and VRxm is an N x 1 matrix.jωμ0IRh?PT=VRxm???Then by using Gauss elimination, the electromagnetic tensor vector P in equation (6) can be directly solved from the equation below.PT=h-1jωμ0IR-1?VRxm ???Theoretically at least 6 independent measurements (N >=6) are required to compute the vector P, which has 6 unknown elements.Electromagnetic Tensor Inversion from Rotation MeasurementsFrom PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5HcnplZ29yY3p5azwvQXV0aG9yPjxZZWFyPjIwMTE8L1ll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ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5HcnplZ29yY3p5azwvQXV0aG9yPjxZZWFyPjIwMTE8L1ll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ADDIN EN.CITE.DATA [9, 14-16, 29, 34], the electromagnetic polarizability tensor of a metal target can be represented by its eigenvalue matrix Λ and a rotation matrix R. M=R?Λ?RT???R(α,β,γ)=1000cosα-sinα0sinαcosα?cosβ0sinβ010-sinβ0cosβ?cosγ-sinγ0sinγcosγ0001 ???Here Λ is the eigenvalue matrix of M, which is demonstrated as Λ=λ11000λ22000λ33. R is a 3 x 3 unitary matrix, which can be characterized by the Euler rotation matrix in x-y-z rotation sequence. In equation (9), α,β and γ are the rotation angles around x, y and z axes in the local coordinate of the metal target.By substituting equation (8) into (2), the electromagnetic responses of metal targets can be represented by the equation below.VRx=jωμ0IRs?OT????Here O=β11,β22,β33 is the unknown vector of the eigenvalues of electromagnetic polarizability tensor matrix for a metal object. s=S1,S2,S3 is the known vector of incident magnetic fields and rotation matrix. The elements of vector s are shown below. Here (:,1), (:,2) and (:,3) means first, second and third columns of the matrix.S1=HT?R(:,1)?HR?R(:,1)S2=HT?R(:,2)?HR?R(:,2)S3=HT?R(:,3)?HR?R(:,3)????In equation (10), only three unknown variables in the eigenvalue vector O need to be inverted from the measured response signals at the rotation angles, α,β and γ. Equation (10) can be solved by minimizing the least squares problem below. 12VRx(O)-VRxm2min????If N measurements are made at N different orientations, the optimized 3 elements in O for equation (12) are expected to fulfil the equation below. Here s is an N x 3 matrix and VRxm is an N x 1 matrix.jωμ0IRs?OT=VRxm????By using Gaussian elimination, for instance, the electromagnetic tensor vector O in equation (13) can be directly solved from the equation below.OT=s-1iωμ0IR-1?VRxm????Theoretically at least 3 independent measurements (N>=3) are required to compute the vector O, which has 3 unknown elements.Independence of Measurements DeterminationThe electromagnetic tensor vectors P in equation (6) and O in equation (13) can be inverted as follows.PT=hT h-1 hTjωμ0IR-1?VRxm (15)OT=sT s-1 sTjωμ0IR-1?VRxm(16)The inverse matrices hT h and sT s are 6 x 6 and 3 x 3 square matrices separately. The independence of multi-position measurements and rotation measurements can be directly determined by calculating the ranks of these two matrices without the need to inverse the electromagnetic tensor of metal objects. These ranks are equal to the number of singular values of these inverse matrices, which are larger than the minimum tolerances τ. These singular values are calculated from singular value decomposition (SVD). The minimum tolerance τ is given by the equation below ADDIN EN.CITE <EndNote><Cite><Author>MathWorks</Author><RecNum>676</RecNum><DisplayText>[35]</DisplayText><record><rec-number>676</rec-number><foreign-keys><key app="EN" db-id="tsft5dsp1zfzvwef2d4vttexpaaz9xvar595" timestamp="1440760540">676</key></foreign-keys><ref-type name="Web Page">12</ref-type><contributors><authors><author>MathWorks</author></authors></contributors><titles><title>MatLab Documentation: Rank</title></titles><dates></dates><urls><related-urls><url>uk.help/matlab/ref/rank.html</url></related-urls></urls></record></Cite></EndNote>[35].τ=d×2log2(a×2-b)(17)Here d is the maximum size of the inverse matrix. a is the maximum singular value of the inverse matrix and b is the number of bits for the fractional part of a floating number. For the double precision floating-point numbers in this paper, b equals 52 bits ADDIN EN.CITE <EndNote><Cite><Author>IEEE</Author><Year>2008</Year><RecNum>679</RecNum><DisplayText>[36]</DisplayText><record><rec-number>679</rec-number><foreign-keys><key app="EN" db-id="tsft5dsp1zfzvwef2d4vttexpaaz9xvar595" timestamp="1441278388">679</key></foreign-keys><ref-type name="Standard">58</ref-type><contributors><authors><author>IEEE</author></authors></contributors><titles><title>IEEE Standard for Floating-Point Arithmetic</title><secondary-title>IEEE Std 754-2008</secondary-title></titles><periodical><full-title>IEEE Std 754-2008</full-title></periodical><pages>1-70</pages><keywords><keyword>IEEE standards</keyword><keyword>floating point arithmetic</keyword><keyword>programming</keyword><keyword>IEEE standard</keyword><keyword>arithmetic formats</keyword><keyword>computer programming</keyword><keyword>decimal floating-point arithmetic</keyword><keyword>754-2008</keyword><keyword>NaN</keyword><keyword>arithmetic</keyword><keyword>binary</keyword><keyword>computer</keyword><keyword>decimal</keyword><keyword>exponent</keyword><keyword>floating-point</keyword><keyword>format</keyword><keyword>interchange</keyword><keyword>number</keyword><keyword>rounding</keyword><keyword>significand</keyword><keyword>subnormal</keyword></keywords><dates><year>2008</year></dates><urls></urls><electronic-resource-num>10.1109/IEEESTD.2008.4610935</electronic-resource-num></record></Cite></EndNote>[36].Simulation ResultsBoth the multi-position measurement method and rotation measurement method were analyzed by FEM simulations, using a commercial FEM solver, Ansys Maxwell v16 to provide synthetic data to test the methods.Target ObjectsIn landmine and UXO detection, the target objects can mostly be grouped in few categories, i.e. rings, spheres, cylinders and spheroids ADDIN EN.CITE <EndNote><Cite><Author>Bruschini</Author><Year>2002</Year><RecNum>256</RecNum><DisplayText>[19]</DisplayText><record><rec-number>256</rec-number><foreign-keys><key app="EN" db-id="tsft5dsp1zfzvwef2d4vttexpaaz9xvar595" timestamp="1372789703">256</key></foreign-keys><ref-type name="Thesis">32</ref-type><contributors><authors><author>Bruschini, C.</author></authors></contributors><titles><title>A Multidisciplinary Analysis of Frequency Domain Metal Detectors for Humanitarian Demining</title><secondary-title>Faculty of Applied Sciences</secondary-title></titles><volume>PhD</volume><dates><year>2002</year></dates><publisher>Vrije Universiteit Brussel (VUB, Belgium)</publisher><isbn>9783898258531</isbn><work-type>PhD Thesis</work-type><urls><related-urls><url>;[19]. For in-line metal detectors, the spherical and cylindrical objects are of most concern to evaluate the sensitivity PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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ADDIN EN.CITE.DATA [9, 27]. As the electromagnetic polarizability tensors of metal sphere can be easily calculated PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5LZWlzd2V0dGVyPC9BdXRob3I+PFllYXI+MjAwMGE8L1ll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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5LZWlzd2V0dGVyPC9BdXRob3I+PFllYXI+MjAwMGE8L1ll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==
ADDIN EN.CITE.DATA [9, 20, 37], the cylindrical objects are focused for the tensor determinations from landmine/UXO and in-line metal detector systems in this paper.The trans-impedances between the transmitter and receiver coils are simulated with and without the metal target objects. The simulated target object responses are the differential values of these two trans-impedances.As the electromagnetic responses of metal objects are strong at high frequency, the FEM models are simulated at 800 kHz for the converged and accurate results.Multi-position Measurement MethodThe current multi-position measurement method is analyzed in the undesired and desired cases for the tensor inversion. The first FEM model represents an undesired case for tensor inversion. It has simple co-axial sensor coils with magnetic field sensitivity mainly in z direction and a simple measurement protocol along a 1D line. It has a 10 cm radius red outer transmitter coil and a 6 cm radius green inner receiver coil as shown in Fig.4.. The electromagnetic responses of a metal object are simulated along a radial straight line at a distance D below the sensor coils, as shown in blue connected stars line. FEM model 1 for the multi-position measurement method (left: FEM model; right: simulated locations of metal objects) The second FEM model represents a desired case for tensor inversion. It has two-receiver sensor coils with magnetic field sensitivity in various directions and a complex measurement protocol in a 2D plane.It consists of a 13 cm radius red outer transmitter coil and two green inner opposite wired receiver coils in 6 cm radius. The metal object was simulated at various locations at a distance D below the sensor coil, as shown in blue connected stars line. FEM model 2 for the multi-position measurement method (left: FEM model; right: simulated locations of metal objects) A brass cylindrical wire with 1.25 mm diameter and 40 mm length is vertically placed at D=30 cm below these two sensor coils. Its electromagnetic response signals at various locations (shown in blue dots) were simulated at an arbitrary selected frequency, in this case 800 kHz and used to invert its electromagnetic tensor matrix by using equations (4)-(7). The phases and magnitudes of the eigenvalues of the inverted electromagnetic tensors are compared to calculated results from previous paper PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE.DATA [9] and shown in the tables below.Phases of eigenvalues of simulated and calculated electromagnetic tensor matrices of brass wire 1.25 x 40 mm (Diameter x Length) at 800 KHz for the multi-position measurement methodSourcesPhases of Eigenvalues of Electromagnetic Tensor Matrix Λ: (Degree)λ11λ22λ33Calculation PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE.DATA [9]165.38165.40165.40FEM model 1126.45125.77125.88FEM model 2168.20168.88168.75Magnitudes of eigenvalues of simulated and calculated electromagnetic tensor matrices of brass wire 1.25 x 40 mm (Diameter x Length) at 800 KHz for the multi-position measurement methodSourcesMagnitudes of Eigenvalues of Electromagnetic Tensor Matrix Λ: λ11λ22λ33Calculation PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj
TnVtPjU5NzwvUmVjTnVtPjxEaXNwbGF5VGV4dD5bOV08L0Rpc3BsYXlUZXh0PjxyZWNvcmQ+PHJl
Yy1udW1iZXI+NTk3PC9yZWMtbnVtYmVyPjxmb3JlaWduLWtleXM+PGtleSBhcHA9IkVOIiBkYi1p
ZD0idHNmdDVkc3AxemZ6dndlZjJkNHZ0dGV4cGFhejl4dmFyNTk1IiB0aW1lc3RhbXA9IjE0MTgx
MjY0MDEiPjU5Nzwva2V5PjwvZm9yZWlnbi1rZXlzPjxyZWYtdHlwZSBuYW1lPSJKb3VybmFsIEFy
dGljbGUiPjE3PC9yZWYtdHlwZT48Y29udHJpYnV0b3JzPjxhdXRob3JzPjxhdXRob3I+Wmhhbywg
WWlmZWkgPC9hdXRob3I+PGF1dGhvcj5ZaW4sIFd1bGlhbmc8L2F1dGhvcj48YXV0aG9yPkt0aXN0
aXMsIEMuPC9hdXRob3I+PGF1dGhvcj5CdXR0ZXJ3b3J0aCwgRC48L2F1dGhvcj48YXV0aG9yPlBl
eXRvbiwgQS4gSi48L2F1dGhvcj48L2F1dGhvcnM+PC9jb250cmlidXRvcnM+PHRpdGxlcz48dGl0
bGU+T24gdGhlIExvdy1GcmVxdWVuY3kgRWxlY3Ryb21hZ25ldGljIFJlc3BvbnNlcyBvZiBJbi1M
aW5lIE1ldGFsIERldGVjdG9ycyB0byBNZXRhbCBDb250YW1pbmFudHM8L3RpdGxlPjxzZWNvbmRh
cnktdGl0bGU+SUVFRSBUcmFuc2FjdGlvbnMgb24gSW5zdHJ1bWVudGF0aW9uIGFuZCBNZWFzdXJl
bWVudDwvc2Vjb25kYXJ5LXRpdGxlPjwvdGl0bGVzPjxwZXJpb2RpY2FsPjxmdWxsLXRpdGxlPkll
ZWUgVHJhbnNhY3Rpb25zIG9uIEluc3RydW1lbnRhdGlvbiBhbmQgTWVhc3VyZW1lbnQ8L2Z1bGwt
dGl0bGU+PGFiYnItMT5JZWVlIFQgSW5zdHJ1bSBNZWFzPC9hYmJyLTE+PC9wZXJpb2RpY2FsPjxw
YWdlcz4zMTgxLTMxODk8L3BhZ2VzPjx2b2x1bWU+NjM8L3ZvbHVtZT48bnVtYmVyPjEyPC9udW1i
ZXI+PGtleXdvcmRzPjxrZXl3b3JkPmVpZ2VudmFsdWVzIGFuZCBlaWdlbmZ1bmN0aW9uczwva2V5
d29yZD48a2V5d29yZD5lbGVjdHJvbWFnbmV0aWMgd2F2ZSBwb2xhcmlzYXRpb248L2tleXdvcmQ+
PGtleXdvcmQ+bWF0cml4IGFsZ2VicmE8L2tleXdvcmQ+PGtleXdvcmQ+bWV0YWwgZGV0ZWN0b3Jz
PC9rZXl3b3JkPjxrZXl3b3JkPnRlbnNvcnM8L2tleXdvcmQ+PGtleXdvcmQ+ZGlwb2xlIHNvbHV0
aW9uPC9rZXl3b3JkPjxrZXl3b3JkPmVpZ2VudmFsdWUgbWF0cml4PC9rZXl3b3JkPjxrZXl3b3Jk
PmVsZWN0cm9tYWduZXRpYyBwb2xhcml6YWJpbGl0eSBtYXRyaXg8L2tleXdvcmQ+PGtleXdvcmQ+
ZWxlY3Ryb21hZ25ldGljIHBvbGFyaXphYmlsaXR5IHRlbnNvcjwva2V5d29yZD48a2V5d29yZD5p
bi1saW5lIG1ldGFsIGRldGVjdG9yczwva2V5d29yZD48a2V5d29yZD5sb3ctZnJlcXVlbmN5IGVs
ZWN0cm9tYWduZXRpYyByZXNwb25zZXM8L2tleXdvcmQ+PGtleXdvcmQ+bWFnbmV0aWMgZmllbGRz
PC9rZXl3b3JkPjxrZXl3b3JkPm1ldGFsIGNvbnRhbWluYW50czwva2V5d29yZD48a2V5d29yZD5t
ZXRhbCBzcGhlcmU8L2tleXdvcmQ+PGtleXdvcmQ+bWV0YWwgdGFyZ2V0czwva2V5d29yZD48a2V5
d29yZD5yb3RhdGlvbiBtYXRyaXg8L2tleXdvcmQ+PGtleXdvcmQ+c3BoZXJlIHNhbXBsZXM8L2tl
eXdvcmQ+PGtleXdvcmQ+c3BoZXJpY2FsIHJlc3BvbnNlIGZ1bmN0aW9uPC9rZXl3b3JkPjxrZXl3
b3JkPndpcmUgc2FtcGxlczwva2V5d29yZD48a2V5d29yZD5Db250YW1pbmF0aW9uPC9rZXl3b3Jk
PjxrZXl3b3JkPkRldGVjdG9yczwva2V5d29yZD48a2V5d29yZD5NZXRhbHM8L2tleXdvcmQ+PGtl
eXdvcmQ+U2Vuc2l0aXZpdHk8L2tleXdvcmQ+PGtleXdvcmQ+V2lyZXM8L2tleXdvcmQ+PGtleXdv
cmQ+RGlwb2xlIG1vbWVudDwva2V5d29yZD48a2V5d29yZD5tZXRhbCBkZXRlY3Rpb248L2tleXdv
cmQ+PGtleXdvcmQ+bWV0YWwgZGV0ZWN0aW9uLjwva2V5d29yZD48L2tleXdvcmRzPjxkYXRlcz48
eWVhcj4yMDE0PC95ZWFyPjwvZGF0ZXM+PGlzYm4+MDAxOC05NDU2PC9pc2JuPjx1cmxzPjwvdXJs
cz48ZWxlY3Ryb25pYy1yZXNvdXJjZS1udW0+MTAuMTEwOS9USU0uMjAxNC4yMzI0NzkxPC9lbGVj
dHJvbmljLXJlc291cmNlLW51bT48L3JlY29yZD48L0NpdGU+PC9FbmROb3RlPn==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE.DATA [9]4.15E-048.94E-048.95E-04FEM model 12.38E+016.45E-045.54E-04FEM model 24.65E-048.58E-048.40E-04In Table I and II, only the FEM model 2 provides correct phases and magnitudes, which are close to the previous calculated results. In Table II, the magnitudes of simulated eigenvalues are scaled to measured eigenvalues by a constant value, i.e. 3.80E+01 for FEM model 1 and 2.04E+03 for FEM model 2. These scaling factors are caused by the differences in magnetic field strengths and gains in the electronic system.Ranks of the inverse matrices of FEM model 1 and 2SourcesTolerance τSingular Values of h T hRankFEM model 16.51E-198.06E-04, 8.54E-05, 4.08E-06, 7.13E-12, 5.60E-14, 3.89E-215FEM model 22.60E-183.11E-03, 1.07E-03, 4.51E-04, 1.44E-04, 1.91E-05, 1.04E-056In Table III, the inverse matrix h T h in FEM model 1 is not full rank, i.e. less than 6. It indicates that there are insufficient independent measurements. The reason is that the brass wire in FEM model 1 is not exposed to any tangential field components. This indicates the difficulties of reconstructing a tensor matrix from a single line passing over the sensor. In general a 2D scan of the area is required. In addition, the in-line metal detector has some characteristics similar to the FEM model 1, i.e. simple co-axial sensor coils with magnetic field sensitivity mainly in one direction and a simple measurement protocol along a 1D line. So the electromagnetic tensors cannot be accurately calculated for in-line metal detectors from the multi-position measurement along a single line passing through the sensor.Rotation Measurement MethodThe proposed rotation measurement method was analyzed on a balanced sensor coil array characteristic of the type used for in-line metal detector as shown in Fig. 6.. This is a similar geometry to an actual test set-up used by other works in the field ADDIN EN.CITE <EndNote><Cite><Author>Abdel Rehim</Author><Year>2015</Year><RecNum>670</RecNum><DisplayText>[38]</DisplayText><record><rec-number>670</rec-number><foreign-keys><key app="EN" db-id="tsft5dsp1zfzvwef2d4vttexpaaz9xvar595" timestamp="1440421738">670</key></foreign-keys><ref-type name="Conference Proceedings">10</ref-type><contributors><authors><author>Abdel Rehim, O. A.</author><author>Davidson, J. L.</author><author>Marsh, L. A.</author><author>O'Toole, M. D.</author><author>Armitage, D. W.</author><author>Peyton, A. J.</author></authors></contributors><titles><title>Measurement system for determining the magnetic polarizability tensor of small metal targets</title><secondary-title>Sensors Applications Symposium (SAS), 2015 IEEE</secondary-title><alt-title>Sensors Applications Symposium (SAS), 2015 IEEE</alt-title></titles><pages>1-5</pages><keywords><keyword>eigenvalues and eigenfunctions</keyword><keyword>magnetic variables measurement</keyword><keyword>tensors</keyword><keyword>.222 Remington rifle cartridge</keyword><keyword>clutter</keyword><keyword>eigenvalue spectra</keyword><keyword>landmine</keyword><keyword>magnetic polarizability tensor</keyword><keyword>metallic object target</keyword><keyword>spectroscopic magnetic measurement system</keyword><keyword>titanium cube</keyword><keyword>transimpedance measurement</keyword><keyword>Detectors</keyword><keyword>Magnetic field measurement</keyword><keyword>Tensile stress</keyword><keyword>Titanium</keyword><keyword>Voltage measurement</keyword><keyword>ERW detection</keyword><keyword>electromagentic induction</keyword></keywords><dates><year>2015</year><pub-dates><date>13-15 April 2015</date></pub-dates></dates><urls></urls><electronic-resource-num>10.1109/SAS.2015.7133568</electronic-resource-num></record></Cite></EndNote>[38].FEM model 3 for the rotation measurement method (left: FEM model; right: simulated orientations of metal objects)This sensor coil array has a 35 mm outer radius transmitter coil with the cross section t = 2 mm by H = 100 mm and two 40 mm outer radius receiver coils with the cross section t = 2 mm by h = 40 mm. The magnetic fields inside this coil array are mainly in z direction.A brass cylindrical wire with 1.25 mm diameter and 40 mm length is placed at the center of the upper receiver coil. Its electromagnetic response signals at various orientations, i.e. 0?, 15?, 45?, 60?, 90?, 105?, 135? and 150? around x axis are simulated at an arbitrary selected frequency, in this case 800 kHz and used to invert its electromagnetic tensor matrix by using equations (10) – (14).Phases of eigenvalues of simulated and calculated electromagnetic tensor matrices of brass wire 1.25 x 40 mm (Diameter x Length) at 800 KHz for the rotation measurement methodSourcesPhases of Eigenvalues of Electromagnetic Tensor Matrix Λ: (Degree)λ11λ22λ33Calculation PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj
TnVtPjU5NzwvUmVjTnVtPjxEaXNwbGF5VGV4dD5bOV08L0Rpc3BsYXlUZXh0PjxyZWNvcmQ+PHJl
Yy1udW1iZXI+NTk3PC9yZWMtbnVtYmVyPjxmb3JlaWduLWtleXM+PGtleSBhcHA9IkVOIiBkYi1p
ZD0idHNmdDVkc3AxemZ6dndlZjJkNHZ0dGV4cGFhejl4dmFyNTk1IiB0aW1lc3RhbXA9IjE0MTgx
MjY0MDEiPjU5Nzwva2V5PjwvZm9yZWlnbi1rZXlzPjxyZWYtdHlwZSBuYW1lPSJKb3VybmFsIEFy
dGljbGUiPjE3PC9yZWYtdHlwZT48Y29udHJpYnV0b3JzPjxhdXRob3JzPjxhdXRob3I+Wmhhbywg
WWlmZWkgPC9hdXRob3I+PGF1dGhvcj5ZaW4sIFd1bGlhbmc8L2F1dGhvcj48YXV0aG9yPkt0aXN0
aXMsIEMuPC9hdXRob3I+PGF1dGhvcj5CdXR0ZXJ3b3J0aCwgRC48L2F1dGhvcj48YXV0aG9yPlBl
eXRvbiwgQS4gSi48L2F1dGhvcj48L2F1dGhvcnM+PC9jb250cmlidXRvcnM+PHRpdGxlcz48dGl0
bGU+T24gdGhlIExvdy1GcmVxdWVuY3kgRWxlY3Ryb21hZ25ldGljIFJlc3BvbnNlcyBvZiBJbi1M
aW5lIE1ldGFsIERldGVjdG9ycyB0byBNZXRhbCBDb250YW1pbmFudHM8L3RpdGxlPjxzZWNvbmRh
cnktdGl0bGU+SUVFRSBUcmFuc2FjdGlvbnMgb24gSW5zdHJ1bWVudGF0aW9uIGFuZCBNZWFzdXJl
bWVudDwvc2Vjb25kYXJ5LXRpdGxlPjwvdGl0bGVzPjxwZXJpb2RpY2FsPjxmdWxsLXRpdGxlPkll
ZWUgVHJhbnNhY3Rpb25zIG9uIEluc3RydW1lbnRhdGlvbiBhbmQgTWVhc3VyZW1lbnQ8L2Z1bGwt
dGl0bGU+PGFiYnItMT5JZWVlIFQgSW5zdHJ1bSBNZWFzPC9hYmJyLTE+PC9wZXJpb2RpY2FsPjxw
YWdlcz4zMTgxLTMxODk8L3BhZ2VzPjx2b2x1bWU+NjM8L3ZvbHVtZT48bnVtYmVyPjEyPC9udW1i
ZXI+PGtleXdvcmRzPjxrZXl3b3JkPmVpZ2VudmFsdWVzIGFuZCBlaWdlbmZ1bmN0aW9uczwva2V5
d29yZD48a2V5d29yZD5lbGVjdHJvbWFnbmV0aWMgd2F2ZSBwb2xhcmlzYXRpb248L2tleXdvcmQ+
PGtleXdvcmQ+bWF0cml4IGFsZ2VicmE8L2tleXdvcmQ+PGtleXdvcmQ+bWV0YWwgZGV0ZWN0b3Jz
PC9rZXl3b3JkPjxrZXl3b3JkPnRlbnNvcnM8L2tleXdvcmQ+PGtleXdvcmQ+ZGlwb2xlIHNvbHV0
aW9uPC9rZXl3b3JkPjxrZXl3b3JkPmVpZ2VudmFsdWUgbWF0cml4PC9rZXl3b3JkPjxrZXl3b3Jk
PmVsZWN0cm9tYWduZXRpYyBwb2xhcml6YWJpbGl0eSBtYXRyaXg8L2tleXdvcmQ+PGtleXdvcmQ+
ZWxlY3Ryb21hZ25ldGljIHBvbGFyaXphYmlsaXR5IHRlbnNvcjwva2V5d29yZD48a2V5d29yZD5p
bi1saW5lIG1ldGFsIGRldGVjdG9yczwva2V5d29yZD48a2V5d29yZD5sb3ctZnJlcXVlbmN5IGVs
ZWN0cm9tYWduZXRpYyByZXNwb25zZXM8L2tleXdvcmQ+PGtleXdvcmQ+bWFnbmV0aWMgZmllbGRz
PC9rZXl3b3JkPjxrZXl3b3JkPm1ldGFsIGNvbnRhbWluYW50czwva2V5d29yZD48a2V5d29yZD5t
ZXRhbCBzcGhlcmU8L2tleXdvcmQ+PGtleXdvcmQ+bWV0YWwgdGFyZ2V0czwva2V5d29yZD48a2V5
d29yZD5yb3RhdGlvbiBtYXRyaXg8L2tleXdvcmQ+PGtleXdvcmQ+c3BoZXJlIHNhbXBsZXM8L2tl
eXdvcmQ+PGtleXdvcmQ+c3BoZXJpY2FsIHJlc3BvbnNlIGZ1bmN0aW9uPC9rZXl3b3JkPjxrZXl3
b3JkPndpcmUgc2FtcGxlczwva2V5d29yZD48a2V5d29yZD5Db250YW1pbmF0aW9uPC9rZXl3b3Jk
PjxrZXl3b3JkPkRldGVjdG9yczwva2V5d29yZD48a2V5d29yZD5NZXRhbHM8L2tleXdvcmQ+PGtl
eXdvcmQ+U2Vuc2l0aXZpdHk8L2tleXdvcmQ+PGtleXdvcmQ+V2lyZXM8L2tleXdvcmQ+PGtleXdv
cmQ+RGlwb2xlIG1vbWVudDwva2V5d29yZD48a2V5d29yZD5tZXRhbCBkZXRlY3Rpb248L2tleXdv
cmQ+PGtleXdvcmQ+bWV0YWwgZGV0ZWN0aW9uLjwva2V5d29yZD48L2tleXdvcmRzPjxkYXRlcz48
eWVhcj4yMDE0PC95ZWFyPjwvZGF0ZXM+PGlzYm4+MDAxOC05NDU2PC9pc2JuPjx1cmxzPjwvdXJs
cz48ZWxlY3Ryb25pYy1yZXNvdXJjZS1udW0+MTAuMTEwOS9USU0uMjAxNC4yMzI0NzkxPC9lbGVj
dHJvbmljLXJlc291cmNlLW51bT48L3JlY29yZD48L0NpdGU+PC9FbmROb3RlPn==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj
TnVtPjU5NzwvUmVjTnVtPjxEaXNwbGF5VGV4dD5bOV08L0Rpc3BsYXlUZXh0PjxyZWNvcmQ+PHJl
Yy1udW1iZXI+NTk3PC9yZWMtbnVtYmVyPjxmb3JlaWduLWtleXM+PGtleSBhcHA9IkVOIiBkYi1p
ZD0idHNmdDVkc3AxemZ6dndlZjJkNHZ0dGV4cGFhejl4dmFyNTk1IiB0aW1lc3RhbXA9IjE0MTgx
MjY0MDEiPjU5Nzwva2V5PjwvZm9yZWlnbi1rZXlzPjxyZWYtdHlwZSBuYW1lPSJKb3VybmFsIEFy
dGljbGUiPjE3PC9yZWYtdHlwZT48Y29udHJpYnV0b3JzPjxhdXRob3JzPjxhdXRob3I+Wmhhbywg
WWlmZWkgPC9hdXRob3I+PGF1dGhvcj5ZaW4sIFd1bGlhbmc8L2F1dGhvcj48YXV0aG9yPkt0aXN0
aXMsIEMuPC9hdXRob3I+PGF1dGhvcj5CdXR0ZXJ3b3J0aCwgRC48L2F1dGhvcj48YXV0aG9yPlBl
eXRvbiwgQS4gSi48L2F1dGhvcj48L2F1dGhvcnM+PC9jb250cmlidXRvcnM+PHRpdGxlcz48dGl0
bGU+T24gdGhlIExvdy1GcmVxdWVuY3kgRWxlY3Ryb21hZ25ldGljIFJlc3BvbnNlcyBvZiBJbi1M
aW5lIE1ldGFsIERldGVjdG9ycyB0byBNZXRhbCBDb250YW1pbmFudHM8L3RpdGxlPjxzZWNvbmRh
cnktdGl0bGU+SUVFRSBUcmFuc2FjdGlvbnMgb24gSW5zdHJ1bWVudGF0aW9uIGFuZCBNZWFzdXJl
bWVudDwvc2Vjb25kYXJ5LXRpdGxlPjwvdGl0bGVzPjxwZXJpb2RpY2FsPjxmdWxsLXRpdGxlPkll
ZWUgVHJhbnNhY3Rpb25zIG9uIEluc3RydW1lbnRhdGlvbiBhbmQgTWVhc3VyZW1lbnQ8L2Z1bGwt
dGl0bGU+PGFiYnItMT5JZWVlIFQgSW5zdHJ1bSBNZWFzPC9hYmJyLTE+PC9wZXJpb2RpY2FsPjxw
YWdlcz4zMTgxLTMxODk8L3BhZ2VzPjx2b2x1bWU+NjM8L3ZvbHVtZT48bnVtYmVyPjEyPC9udW1i
ZXI+PGtleXdvcmRzPjxrZXl3b3JkPmVpZ2VudmFsdWVzIGFuZCBlaWdlbmZ1bmN0aW9uczwva2V5
d29yZD48a2V5d29yZD5lbGVjdHJvbWFnbmV0aWMgd2F2ZSBwb2xhcmlzYXRpb248L2tleXdvcmQ+
PGtleXdvcmQ+bWF0cml4IGFsZ2VicmE8L2tleXdvcmQ+PGtleXdvcmQ+bWV0YWwgZGV0ZWN0b3Jz
PC9rZXl3b3JkPjxrZXl3b3JkPnRlbnNvcnM8L2tleXdvcmQ+PGtleXdvcmQ+ZGlwb2xlIHNvbHV0
aW9uPC9rZXl3b3JkPjxrZXl3b3JkPmVpZ2VudmFsdWUgbWF0cml4PC9rZXl3b3JkPjxrZXl3b3Jk
PmVsZWN0cm9tYWduZXRpYyBwb2xhcml6YWJpbGl0eSBtYXRyaXg8L2tleXdvcmQ+PGtleXdvcmQ+
ZWxlY3Ryb21hZ25ldGljIHBvbGFyaXphYmlsaXR5IHRlbnNvcjwva2V5d29yZD48a2V5d29yZD5p
bi1saW5lIG1ldGFsIGRldGVjdG9yczwva2V5d29yZD48a2V5d29yZD5sb3ctZnJlcXVlbmN5IGVs
ZWN0cm9tYWduZXRpYyByZXNwb25zZXM8L2tleXdvcmQ+PGtleXdvcmQ+bWFnbmV0aWMgZmllbGRz
PC9rZXl3b3JkPjxrZXl3b3JkPm1ldGFsIGNvbnRhbWluYW50czwva2V5d29yZD48a2V5d29yZD5t
ZXRhbCBzcGhlcmU8L2tleXdvcmQ+PGtleXdvcmQ+bWV0YWwgdGFyZ2V0czwva2V5d29yZD48a2V5
d29yZD5yb3RhdGlvbiBtYXRyaXg8L2tleXdvcmQ+PGtleXdvcmQ+c3BoZXJlIHNhbXBsZXM8L2tl
eXdvcmQ+PGtleXdvcmQ+c3BoZXJpY2FsIHJlc3BvbnNlIGZ1bmN0aW9uPC9rZXl3b3JkPjxrZXl3
b3JkPndpcmUgc2FtcGxlczwva2V5d29yZD48a2V5d29yZD5Db250YW1pbmF0aW9uPC9rZXl3b3Jk
PjxrZXl3b3JkPkRldGVjdG9yczwva2V5d29yZD48a2V5d29yZD5NZXRhbHM8L2tleXdvcmQ+PGtl
eXdvcmQ+U2Vuc2l0aXZpdHk8L2tleXdvcmQ+PGtleXdvcmQ+V2lyZXM8L2tleXdvcmQ+PGtleXdv
cmQ+RGlwb2xlIG1vbWVudDwva2V5d29yZD48a2V5d29yZD5tZXRhbCBkZXRlY3Rpb248L2tleXdv
cmQ+PGtleXdvcmQ+bWV0YWwgZGV0ZWN0aW9uLjwva2V5d29yZD48L2tleXdvcmRzPjxkYXRlcz48
eWVhcj4yMDE0PC95ZWFyPjwvZGF0ZXM+PGlzYm4+MDAxOC05NDU2PC9pc2JuPjx1cmxzPjwvdXJs
cz48ZWxlY3Ryb25pYy1yZXNvdXJjZS1udW0+MTAuMTEwOS9USU0uMjAxNC4yMzI0NzkxPC9lbGVj
dHJvbmljLXJlc291cmNlLW51bT48L3JlY29yZD48L0NpdGU+PC9FbmROb3RlPn==
ADDIN EN.CITE.DATA [9]165.38165.40165.40FEM model 3165.76165.97165.97Magnitudes of eigenvalues of simulated and calculated electromagnetic tensor matrices of brass wire 1.25 x 40 mm (Diameter x Length) at 800 KHz for the rotation measurement methodSourcesMagnitudes of Eigenvalues of Electromagnetic Tensor Matrix Λ: λ11λ22λ33Calculation PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE.DATA [9]4.15E-048.94E-048.95E-04FEM model 34.07E-049.03E-049.03E-04Ranks of the inverse matrices of FEM model 3SourcesTolerance τSingular Values of s T sRankFEM model 32.79E-095.11E+06, 1.90E+06, 1.17E+063In Table IV and Table V, the phases and magnitudes of inversion electromagnetic tensors from the FEM simulations of rotation measurement method are very close to the previous calculated results. The scaling factor for the simulated magnitudes results in Table V is 1.22E+03. In Table VI, the inverse matrix s T s in FEM model 3 is full rank, which indicates the independent measurements.As can be seen, the proposed rotation measurement can accurately determine the electromagnetic polarizability tensor from a magnetic sensor with magnetic fields mainly in one direction and a simple measurement protocol.Experiments ResultsThe rotation measurements were implemented on a magnetic sensor with magnetic fields mainly in one direction, i.e. an in-line metal detector. The utilized commercial in-line metal detector system is shown in Fig. 7. The size of the aperture is 350 x 175 mm (Wap x Hap). The distance between two receiver coils is 100 mm (CP). The size of the case is 620 x 420 x 275 mm (Wca x Hca x Lca). The case is constructed from stainless steel with 3 mm thickness. 3D computer model of an in-line metal detector in the experiment. (The transmitter coil is in red. The two receiver coils are in blue.)PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE.DATA [9]Experiment Configurations and Data Processing MethodThe response signals from the receiver coils are demodulated on a receiver circuit board in the in-line metal detector. The demodulated signals and the trigger signal from a position sensor are acquired by a 24-bit data acquisition card (National Instruments, NI-9239). The sampling rate is configured to 4000 samples per second. The signal is recorded over 3 seconds, during which time the metal test pieces are scanned through the detector on plastic conveyor belt. Optical beam breaks are used to trigger the start of the acquisition. The acquisition time is long enough for the target to pass through the detector at a nominal speed of a conveyor of around 20 m/min. At this conveyor speed, the demodulated response signals of this in-line metal detector to metal objects are around 2 Hz. This frequency is mainly determined by the conveyor speed, distance between two receiver coils, the size of the case and the size of metal object. A block diagram of the experimental arrangement is given in Fig. 8.. Data acquisition setup. (I: In-phase; Q: Quadra-phase) PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE.DATA [9]In Fig. 9., the acquired data are first subtracted by a fitted linear equation to eliminate the high frequency noise, DC offsets and drifts. Then a 3rd order Butterworth low pass filter with cut-off frequency at 50 Hz is placed to remove the high frequency noises. Additionally, a calibration method is introduced to align the phase response and correct for gain errors at different operating frequencies. The calibration is performed using a small MnZn ferrite test object.Data processing method PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE.DATA [9]The signal-to-noise ratios (SNRs) of the captured response signals of a 2.5 mm diameter cobalt sphere are represented before and after the data processing method. In general, the SNR is higher at high frequency, as the response signals of metal objects are linear to frequency in equation (2). Signal-to-noise ratio (SNR) of the captured response signals of a 2.5 mm diameter cobalt sphere before and after the data processing method FrequencySNR: (dB)Before the data processing method in Fig. 9. After the data processing method in Fig. 9.100 kHz27.028.9300 kHz37.838.9800 kHz37.541.0Rotation Measurements and Electromagnetic Tensor InversionThe metal wires were passed through the in-line metal detector at least 3 times with different orientations from 0? to 150? to the incident magnetic fields. Orientations of metal wires PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE.DATA [9]The electromagnetic tensors of the metal objects are inverted from the rotation measurements by using equation (10) - (14). The eigenvalues of the inverted electromagnetic tensors are compared to the calculated results from previous paper PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE.DATA [9]. The tested metal samples includes brass wire 0.8 x 40 mm (diameter x length), brass wire 1.25 x 40 mm, stainless steel wire 0.8 x 40 mm and iron wire 0.9 x 40 mm.For metal cylindrical wires, the eigenvalue element of tensor matrix λ22 equals the element λ33, which characterize the transverse responses. The eigenvalue element of β11 characterizes the longitude responses PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5Ob3J0b248L0F1dGhvcj48WWVhcj4yMDAxPC9ZZWFyPjxS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 EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5Ob3J0b248L0F1dGhvcj48WWVhcj4yMDAxPC9ZZWFyPjxS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 EN.CITE.DATA [14, 39]. The ferrous wire, i.e. iron has a stronger response to longitudinal magnetic fields, i.e. λ11>λ22. The non-ferrous wire, i.e. brass and stainless steel has a stronger response to transverse magnetic fields, i.e. λ11<λ22 ADDIN EN.CITE <EndNote><Cite><Author>Lock</Author><Year>1990</Year><RecNum>205</RecNum><DisplayText>[27]</DisplayText><record><rec-number>205</rec-number><foreign-keys><key app="EN" db-id="tsft5dsp1zfzvwef2d4vttexpaaz9xvar595" timestamp="1371940602">205</key></foreign-keys><ref-type name="Classical Work">49</ref-type><contributors><authors><author>Andrew Lock</author></authors></contributors><titles><title>The Guide to Reducing Metal Contamination in the Food Processing Industry</title></titles><dates><year>1990</year></dates><pub-location>Tampa, Florida.</pub-location><publisher>Safeline Inc.</publisher><urls></urls></record></Cite></EndNote>[27].The inverted eigenvalues of tensor matrices from the rotation measurements by using Gauss elimination (Ss: stainless steel, wire diameter x length in (mm))Sample100 kHz300 kHz800 kHzλ11λ22,λ33λ11λ22,λ33λ11λ22,λ33Brass0.8x40mm5.60E-4-1.73E-3*j1.25E-3-3.86E-3*j6.97E-3-8.29E-3*j1.54E-2-1.80E-2*j4.31E-2-1.95E-2*j9.43E-2-4.26E-2*jBrass1.25x40mm5.54E-3-7.02E-3*j1.20E-2-1.51E-2*j3.21E-2-1.71E-2*j6.92E-2-3.67E-2*j1.26E-1-3.30E-2*j2.72E-1-7.10E-2*jSs0.8x40mm-3.12E-5-1.55E-4*j-2.32E-5-3.14E-4*j-6.62E-5-1.24E-3*j9.37E-5-2.75E-3*j1.98E-3-1.07E-2*j4.44E-3-2.37E-2*jIron0.9x40mm-1.10E-1-1.19E-1*j-2.02E-2-4.88E-3*j-1.72E-1-2.02E-1*j-4.84E-2-1.86E-2*j-2.69E-1-3.41E-1*j-1.00E-1-7.03E-2*jThe phases of λ11 and λ22 above are compared to the calculated results from previous paper PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj
TnVtPjU5NzwvUmVjTnVtPjxEaXNwbGF5VGV4dD5bOV08L0Rpc3BsYXlUZXh0PjxyZWNvcmQ+PHJl
Yy1udW1iZXI+NTk3PC9yZWMtbnVtYmVyPjxmb3JlaWduLWtleXM+PGtleSBhcHA9IkVOIiBkYi1p
ZD0idHNmdDVkc3AxemZ6dndlZjJkNHZ0dGV4cGFhejl4dmFyNTk1IiB0aW1lc3RhbXA9IjE0MTgx
MjY0MDEiPjU5Nzwva2V5PjwvZm9yZWlnbi1rZXlzPjxyZWYtdHlwZSBuYW1lPSJKb3VybmFsIEFy
dGljbGUiPjE3PC9yZWYtdHlwZT48Y29udHJpYnV0b3JzPjxhdXRob3JzPjxhdXRob3I+Wmhhbywg
WWlmZWkgPC9hdXRob3I+PGF1dGhvcj5ZaW4sIFd1bGlhbmc8L2F1dGhvcj48YXV0aG9yPkt0aXN0
aXMsIEMuPC9hdXRob3I+PGF1dGhvcj5CdXR0ZXJ3b3J0aCwgRC48L2F1dGhvcj48YXV0aG9yPlBl
eXRvbiwgQS4gSi48L2F1dGhvcj48L2F1dGhvcnM+PC9jb250cmlidXRvcnM+PHRpdGxlcz48dGl0
bGU+T24gdGhlIExvdy1GcmVxdWVuY3kgRWxlY3Ryb21hZ25ldGljIFJlc3BvbnNlcyBvZiBJbi1M
aW5lIE1ldGFsIERldGVjdG9ycyB0byBNZXRhbCBDb250YW1pbmFudHM8L3RpdGxlPjxzZWNvbmRh
cnktdGl0bGU+SUVFRSBUcmFuc2FjdGlvbnMgb24gSW5zdHJ1bWVudGF0aW9uIGFuZCBNZWFzdXJl
bWVudDwvc2Vjb25kYXJ5LXRpdGxlPjwvdGl0bGVzPjxwZXJpb2RpY2FsPjxmdWxsLXRpdGxlPkll
ZWUgVHJhbnNhY3Rpb25zIG9uIEluc3RydW1lbnRhdGlvbiBhbmQgTWVhc3VyZW1lbnQ8L2Z1bGwt
dGl0bGU+PGFiYnItMT5JZWVlIFQgSW5zdHJ1bSBNZWFzPC9hYmJyLTE+PC9wZXJpb2RpY2FsPjxw
YWdlcz4zMTgxLTMxODk8L3BhZ2VzPjx2b2x1bWU+NjM8L3ZvbHVtZT48bnVtYmVyPjEyPC9udW1i
ZXI+PGtleXdvcmRzPjxrZXl3b3JkPmVpZ2VudmFsdWVzIGFuZCBlaWdlbmZ1bmN0aW9uczwva2V5
d29yZD48a2V5d29yZD5lbGVjdHJvbWFnbmV0aWMgd2F2ZSBwb2xhcmlzYXRpb248L2tleXdvcmQ+
PGtleXdvcmQ+bWF0cml4IGFsZ2VicmE8L2tleXdvcmQ+PGtleXdvcmQ+bWV0YWwgZGV0ZWN0b3Jz
PC9rZXl3b3JkPjxrZXl3b3JkPnRlbnNvcnM8L2tleXdvcmQ+PGtleXdvcmQ+ZGlwb2xlIHNvbHV0
aW9uPC9rZXl3b3JkPjxrZXl3b3JkPmVpZ2VudmFsdWUgbWF0cml4PC9rZXl3b3JkPjxrZXl3b3Jk
PmVsZWN0cm9tYWduZXRpYyBwb2xhcml6YWJpbGl0eSBtYXRyaXg8L2tleXdvcmQ+PGtleXdvcmQ+
ZWxlY3Ryb21hZ25ldGljIHBvbGFyaXphYmlsaXR5IHRlbnNvcjwva2V5d29yZD48a2V5d29yZD5p
bi1saW5lIG1ldGFsIGRldGVjdG9yczwva2V5d29yZD48a2V5d29yZD5sb3ctZnJlcXVlbmN5IGVs
ZWN0cm9tYWduZXRpYyByZXNwb25zZXM8L2tleXdvcmQ+PGtleXdvcmQ+bWFnbmV0aWMgZmllbGRz
PC9rZXl3b3JkPjxrZXl3b3JkPm1ldGFsIGNvbnRhbWluYW50czwva2V5d29yZD48a2V5d29yZD5t
ZXRhbCBzcGhlcmU8L2tleXdvcmQ+PGtleXdvcmQ+bWV0YWwgdGFyZ2V0czwva2V5d29yZD48a2V5
d29yZD5yb3RhdGlvbiBtYXRyaXg8L2tleXdvcmQ+PGtleXdvcmQ+c3BoZXJlIHNhbXBsZXM8L2tl
eXdvcmQ+PGtleXdvcmQ+c3BoZXJpY2FsIHJlc3BvbnNlIGZ1bmN0aW9uPC9rZXl3b3JkPjxrZXl3
b3JkPndpcmUgc2FtcGxlczwva2V5d29yZD48a2V5d29yZD5Db250YW1pbmF0aW9uPC9rZXl3b3Jk
PjxrZXl3b3JkPkRldGVjdG9yczwva2V5d29yZD48a2V5d29yZD5NZXRhbHM8L2tleXdvcmQ+PGtl
eXdvcmQ+U2Vuc2l0aXZpdHk8L2tleXdvcmQ+PGtleXdvcmQ+V2lyZXM8L2tleXdvcmQ+PGtleXdv
cmQ+RGlwb2xlIG1vbWVudDwva2V5d29yZD48a2V5d29yZD5tZXRhbCBkZXRlY3Rpb248L2tleXdv
cmQ+PGtleXdvcmQ+bWV0YWwgZGV0ZWN0aW9uLjwva2V5d29yZD48L2tleXdvcmRzPjxkYXRlcz48
eWVhcj4yMDE0PC95ZWFyPjwvZGF0ZXM+PGlzYm4+MDAxOC05NDU2PC9pc2JuPjx1cmxzPjwvdXJs
cz48ZWxlY3Ryb25pYy1yZXNvdXJjZS1udW0+MTAuMTEwOS9USU0uMjAxNC4yMzI0NzkxPC9lbGVj
dHJvbmljLXJlc291cmNlLW51bT48L3JlY29yZD48L0NpdGU+PC9FbmROb3RlPn==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE.DATA [9]. The ratios of magnitudes of only λ11 and λ22 above are compared to the calculated results from previous paper PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE.DATA [9].Phases differences between the inverted eigenvalues of tensor matrices by using Gauss elimination and the calculated eigenvalues of tensor matrices from previous paper (Ss: stainless steel, wire diameter x length in (mm))SamplePhase Difference100 kHz300 kHz800 kHzλ11λ22,λ33λ11λ22,λ33λ11λ22,λ33Brass0.8x40mm0.30%-0.40%0.03%-0.21%0.09%-0.15%Brass1.25x40mm-0.01%0.05%-0.02%0.02%-0.04%-0.01%Ss0.8x40mm-15.89%-0.54%-1.26%-0.16%0.71%0.17%Iron0.9x40mm-0.11%18.76%-0.06%9.79%-0.06%1.07%Magnitude differences (λ11/λ22) between the inverted eigenvalues of tensor matrices by using Gauss elimination and the calculated eigenvalues of tensor matrices from previous paper (Ss: stainless steel, wire diameter x length in (mm))SampleMagnitude Difference (λ11/λ22)100 kHz300 kHz800 kHzBrass 0.8x40 mm0.45%0.93%0.55%Brass 1.25x40 mm0.29%1.25%-0.19%Ss 0.8x40 mm17.59%1.13%1.03%Iron 0.9x40 mm-6.74%-5.18%-2.04%From Table IX and X, the phases and magnitudes differences are generally less than 10%. The differences are significant only for small and low conductivity metal wires, e.g. ss 0.8x40 mm and iron 0.9x40 mm at low frequency, e.g. 100 kHz. The inverse matrices, sT s of the results above are all full rank. So these rotation measurements are independent. From equation (16) and (17), these differences are caused by the factors within the measured response signals VRxm.First, the response signals VRxm of these low conductivity samples at low frequencies are weak and noisy, comparing with the other samples at higher frequencies. Second, the iron wire may be partially magnetized in the experiments.Inversion MethodsIn equation (14), the eigenvalues of the electromagnetic polarizability tensors are directly inverted from rotation measurements by Gaussian elimination. In this section, two additional inversion methods, i.e. singular value decomposition (SVD) and regularized Gauss Newton are applied to the inversion of electromagnetic polarizability tensors from rotation measurement.Singular Value Decomposition (SVD) Methods=U Σ VT????Here s is a matrix containing the values of vector s from the total number of N wire orientation measurements. U and V are two unitary matrices and Σ is a diagonal matrix with singular values of the matrix s. By using equation (18), equation (16) can be simplified to the equation below for the inversion of eigenvalues of electromagnetic polarizability tensors. OT=UΣ-1VTjωμ0IR-1?VRxm(19)Phases differences between the inverted eigenvalues of tensor matrices by using the singular value decomposition method and the calculated eigenvalues of tensor matrices from previous paper (Ss: stainless steel, wire diameter x length in (mm))SamplePhase Difference100 kHz300 kHz800 kHzλ11λ22,λ33λ11λ22,λ33λ11λ22,λ33Brass0.8x40mm-0.44%0.63%-0.09%0.58%-0.14%0.56%Brass1.25x40mm0.02%-0.11%0.12%-0.09%0.40%0.14%Ss0.8x40mm17.15%-6.24%1.21%0.10%-0.88%-0.11%Iron0.9x40mm0.04%-2.27%0.02%-1.46%0.02%-0.44%Magnitude differences (λ11/λ22) between the inverted eigenvalues of tensor matrices by using the singular value decomposition method and the calculated eigenvalues of tensor matrices from previous paper (Ss: stainless steel, wire diameter x length in (mm))SampleMagnitude Difference (λ11/λ22)100 kHz300 kHz800 kHzBrass 0.8x40 mm0.45%0.93%0.34%Brass 1.25x40 mm0.28%1.25%-0.19%Ss 0.8x40 mm17.58%1.12%1.03%Iron 0.9x40 mm-6.77%-5.20%-2.05%The inversed tensor results from the singular value decomposition method are also compared to the calculated results in previous paper PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE.DATA [9]. From Table XI and XII, the differences in phases and magnitudes from the singular value decomposition method are similar to the direct Gauss elimination method in Table IX and X.Regularized Gauss Newton MethodThe regularized Gauss Newton method is utilized to find the minimum of equation (12) after a number of iterations. The equation to be iterated is shown below.O(k+1)T=O(k)T-VRx'TVRx'+ψ G-1VRx'TVRx-VRxm k=1,…,K(20)Here k is the number of iteration. ψ is the constant value for regulation. G is the diagonal regulation matrix. From equation (10), the Jacobian matrix VRx' is given below.VRx'=jωμ0IRs(21)By taking equation (21) into equation (20), the equation for regularized Gauss Newton iteration is shown below.Ok+1T=OkT-jωμ0IR2sT s+ψ G-1jωμ0IRsTjωμ0IRs OkT-VRxm k=1,…,K(22)In the regularized Gauss Newton iterations, ψ is set as a fixed constant at 1E-04. G is set as a diagonal matrix with three diagonal elements equal to 1+1j. The initial value for O(k) is set as O(1)=1+1j,1+1j,1+1j.In general, the differences between the values of O(k) from the last two iterations are lower than (1E-13)% after at least 7 iterations.Phases differences between the inverted eigenvalues of tensor matrices by using the regularized Gauss Newton method and the calculated eigenvalues of tensor matrices from previous paper (Ss: stainless steel, wire diameter x length in (mm))SamplePhase Difference100 kHz300 kHz800 kHzλ11λ22,λ33λ11λ22,λ33λ11λ22,λ33Brass0.8x40mm-0.39%0.69%-0.06%0.61%-0.12%0.58%Brass1.25x40mm0.10%-0.03%0.17%-0.04%0.43%0.17%Ss0.8x40mm17.21%-6.20%1.23%0.11%-0.87%-0.10%Iron0.9x40mm0.07%-2.20%0.03%-1.43%0.03%-0.42%Magnitude differences (λ11/λ22) between the inverted eigenvalues of tensor matrices by using the regularized Gauss Newton method and the calculated eigenvalues of tensor matrices from previous paper (Ss: stainless steel, wire diameter x length in (mm))SampleMagnitude Difference (λ11/λ22)100 kHz300 kHz800 kHzBrass 0.8x40 mm0.39%0.87%0.28%Brass 1.25x40 mm0.23%1.19%-0.25%Ss 0.8x40 mm17.53%1.06%0.97%Iron 0.9x40 mm-6.57%-5.06%-1.95%The inversed tensor results from the regularized Gauss Newton method are also compared to the calculated results in previous paper PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE PEVuZE5vdGU+PENpdGU+PEF1dGhvcj5aaGFvPC9BdXRob3I+PFllYXI+MjAxNDwvWWVhcj48UmVj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==
ADDIN EN.CITE.DATA [9]. From Table XIII and XIV, the differences in phases and magnitudes from the regularized Gauss Newton method are similar to the direct Gauss elimination method in Table IX and X.In conclusion, the inversed tensor results from the singular value decomposition method and regularized Gauss Newton method are similar to the results from direct Gauss elimination method. Therefore, the electromagnetic tensor matrix M and the incident magnetic fields HT and HR in equation (2) are very independent in the experiments on an in-line metal detector. So the direct Gauss elimination is sufficient for the tensor inversion from a linear equation.DiscussionThe proposed rotation measurements determine the electromagnetic tensors of metal objects with known positions and orientations. In practice, the magnetic field vector h in equation (4) can be represented by Biot-Savart law, where an unknown vector of target position is included and inverted along with the electromagnetic tensors. However, this approach assumes that there is no metal case around the sensor coil, which generates secondary magnetic fields from eddy currents. So for the metal detectors with metal cases, e.g. in-line metal detector, this approach is not applicable. The incident magnetic fields can only be measured or simulated at known positions.On the practical target orientation estimation, the axis-symmetrical metal objects, i.e. cylindrical metal wires, can be rotated over two orthogonal planes to determine their orientations, i.e. eigenvectors. But for non-symmetrical metal objects, a more complicated rotational scanning protocol is needed, i.e. rotations over three orthogonal planes.ConclusionFrom this paper, the accuracy of the inversed electromagnetic polarizability tensor is mainly determined by the sensor coil, the measurement protocol and the measured response signals of metal objects. The first two factors can be analyzed by the calculated ranks of inverse matrices. The last factor depends on the SNR of response signals and the characteristics of metal samples, e.g. magnetization.The rotation measurement is proposed to determine the electromagnetic polarizability tensors from an undesired case for current multi-position measurement method, i.e. simple co-axial coils and in-line scanning. The experiments are implemented on a commercial in-line metal detector to prove the feasibility of the rotation measurement.Last, two addition inverse methods, i.e. the singular value decomposition method and regularized Gauss Newton method, are analysed in determining the electromagnetic tensors. In conclusion, for the overdetermined system of electromagnetic tensor inverse from rotation measurements on in-line metal detectors, the influence of the inversed method is less significant.References ADDIN EN.REFLIST [1]I. J. Won, D. A. Keiswetter, and T. H. Bell, "Electromagnetic induction spectroscopy for clearing landmines," IEEE Transactions on Geoscience and Remote Sensing, vol. 39, pp. 703-709, April 2001.[2]D. M. Detectors. (2007, Metal detectors coil and search head design: Patents and Utility Models. Available: search_coils.pdf[3]L. A. Marsh, O. A. Abdel Rehim, Y. M. Tan, M. D. O'Toole, D. W. Armitage, and A. J. Peyton, "Design of electromagnetic sensor arrays optimised for inversion of the magnetic polarisability tensor," in Sensors Applications Symposium (SAS), 2015 IEEE, 2015, pp. 1-4.[4]T. Zhuoran and L. J. Carter, "Metal detector head analysis," in Sensing Technology (ICST), 2011 Fifth International Conference on, 2011, pp. 93-96.[5]D. Ambrus, D. Vasic, and V. Bilas, "Active induction balance method for metal detector sensing head utilizing transmitter-bucking and dual current source," Sensors & Their Applications Xvii, vol. 450, 2013.[6]S. Yamazaki, H. Nakane, and A. Tanaka, "Basic analysis of a metal detector," IEEE Transactions on Instrumentation and Measurement, vol. 51, pp. 810-814, August 2002.[7]M. Brighton and M. J. English, "Calculation of Optimum Spacing for a 3 Coil Axially-Symmetrical Metal Detector," Electronics Letters, vol. 29, pp. 838-839, May 13 1993.[8]M. D. O'Toole, L. A. Marsh, J. L. Davidson, Y. M. Tan, D. W. Armitage, and A. J. Peyton, "Non-contact multi-frequency magnetic induction spectroscopy system for industrial-scale bio-impedance measurement," Measurement Science and Technology, vol. 26, p. 035102, 2015.[9]Y. Zhao, W. Yin, C. Ktistis, D. Butterworth, and A. J. Peyton, "On the Low-Frequency Electromagnetic Responses of In-Line Metal Detectors to Metal Contaminants," IEEE Transactions on Instrumentation and Measurement, vol. 63, pp. 3181-3189, 2014.[10]K. N. Choi, "Two-Channel Metal Detector Using Two Perpendicular Antennas," Journal of Sensors, vol. 2014, p. 11, 2014.[11]P. Dhagat, A. Jander, and D. Luo, "Metal detector coil arrangement for uniform internal and zero external sensitivity," Journal of Applied Physics, vol. 103, Apr 1 2008.[12]L. A. Marsh, C. Ktistis, A. Jarvi, D. W. Armitage, and A. J. Peyton, "Determination of the magnetic polarizability tensor and three dimensional object location for multiple objects using a walk-through metal detector," Measurement Science and Technology, vol. 25, p. 055107, 2014.[13]L. A. Marsh, C. Ktistis, A. Jarvi, D. W. Armitage, and A. J. Peyton, "Three-dimensional object location and inversion of the magnetic polarizability tensor at a single frequency using a walk-through metal detector," Measurement Science and Technology, vol. 24, Apr 2013.[14]S. J. Norton and I. J. Won, "Identification of buried unexploded ordnance from broadband electromagnetic induction data," IEEE Transactions on Geoscience and Remote Sensing, vol. 39, pp. 2253-2261, October 2001.[15]T. M. Grzegorczyk, B. E. Barrowes, F. Shubitidze, J. P. Fernandez, and K. O'Neill, "Simultaneous Identification of Multiple Unexploded Ordnance Using Electromagnetic Induction Sensors," IEEE Transactions on Geoscience and Remote Sensing, vol. 49, pp. 2507-2517, July 2011.[16]T. H. Bell, B. Barrow, and N. Khadr, "Shape-based classification and discrimination of subsurface objects using electromagnetic induction," International Geoscience and Remote Sensing Symposium, Proceedings, vol. 1-5, pp. 509-513, 1998.[17]S. J. Norton, I. J. Won, and E. R. Cespedes, "Ordnance/Clutter Discrimination Based on Target Eigenvalue Analysis," Subsurface Sensing Technologies and Applications, vol. 2, pp. 285-298, 2001/07/01 2001.[18]C. Bruschini, "On the low-frequency EMI response of coincident loops over a conductive and permeable soil and corresponding background reduction schemes," IEEE Transactions on Geoscience and Remote Sensing, vol. 42, pp. 1706-1719, Aug 2004.[19]C. Bruschini, "A Multidisciplinary Analysis of Frequency Domain Metal Detectors for Humanitarian Demining," PhD PhD Thesis, Faculty of Applied Sciences, Vrije Universiteit Brussel (VUB, Belgium), 2002.[20]C. Bruschini and H. Sahli, "Phase angle based EMI object discrimination and analysis of data from a commercial differential two frequency system," Detection and Remediation Technologies for Mines and Minelike Targets V, Pts 1 and 2, vol. 4038, pp. 1404-1419, 2000.[21]T. H. Bell, B. J. Barrow, and J. T. Miller, "Subsurface discrimination using electromagnetic induction sensors," IEEE Transactions on Geoscience and Remote Sensing, vol. 39, pp. 1286-1293, Jun 2001.[22]H. P. Huang and I. J. Won, "Automated identification of buried landmines using normalized electromagnetic induction spectroscopy," IEEE Transactions on Geoscience and Remote Sensing, vol. 41, pp. 640-651, Mar 2003.[23]H. P. Huang and I. J. Won, "Characterization of UXO-Like targets using broadband electromagnetic induction sensors," IEEE Transactions on Geoscience and Remote Sensing, vol. 41, pp. 652-663, Mar 2003.[24]J. E. Mcfee, Y. Das, and R. O. Ellingson, "Locating and Identifying Compact Ferrous Objects," IEEE Transactions on Geoscience and Remote Sensing, vol. 28, pp. 182-193, Mar 1990.[25]Y. Das, J. E. Mcfee, J. Toews, and G. C. Stuart, "Analysis of an Electromagnetic Induction Detector for Real-Time Location of Buried Objects," IEEE Transactions on Geoscience and Remote Sensing, vol. 28, pp. 278-288, May 1990.[26]Y. Das and J. E. Mcfee, "A Simple Analysis of the Electromagnetic Response of Buried Conducting Objects," IEEE Transactions on Geoscience and Remote Sensing, vol. 29, pp. 342-344, Mar 1991.[27]A. Lock, "The Guide to Reducing Metal Contamination in the Food Processing Industry," ed. Tampa, Florida.: Safeline Inc., 1990.[28]Metal Detection, U. S. D. o. Agriculture, 1995.[29]Y. Zhao, W. Yin, C. Ktistis, A. J. Peyton, and D. Butterworth, "Determining the Electromagnetic Polarizability Tensors of Metal Objects from Rotation Measurements," in IEEE International Instrumentation and Measurement Technology Conference, Pisa, Italy, 2015.[30]B. Dekdouk, L. A. Marsh, D. W. Armitage, and A. J. Peyton, "Estimating Magnetic Polarizability Tensor of Buried Metallic Targets for Land Mine Clearance," in Ultra-Wideband, Short-Pulse Electromagnetics 10, F. Sabath and E. L. Mokole, Eds., ed: Springer New York, 2014, pp. 425-432.[31]A. M. Kaneko, G. Endo, and E. F. Fukushima, "Landmine buried depth estimation by curve characterization of metal mine detector signals," in Intelligent Robots and Systems (IROS), 2013 IEEE/RSJ International Conference on, 2013, pp. 5327-5332.[32]P. P. Silvester and D. Omeragic, "Sensitivity maps for metal detector design," IEEE Transactions on Geoscience and Remote Sensing, vol. 34, pp. 788-792, May 1996.[33]J. T. Smith and H. F. Morrison, "Estimating equivalent dipole polarizabilities for the inductive response of isolated conductive bodies," IEEE Transactions on Geoscience and Remote Sensing, vol. 42, pp. 1208-1214, Jun 2004.[34]A. Aliamiri, J. Stalnaker, and E. L. Miller, "Statistical classification of buried unexploded ordnance using Nonparametric prior models," IEEE Transactions on Geoscience and Remote Sensing, vol. 45, pp. 2794-2806, September 2007.[35]MathWorks. MatLab Documentation: Rank. Available: uk.help/matlab/ref/rank.html[36]IEEE, "IEEE Standard for Floating-Point Arithmetic," in IEEE Std 754-2008, ed, 2008, pp. 1-70.[37]D. A. Keiswetter, I. J. Won, J. Miller, T. Bell, E. Cespedes, and K. O'Neill, "Electromagnetic induction spectroscopy for detecting and identifying buried objects," Detection and Remediation Technologies for Mines and Minelike Targets V, Pts 1 and 2, vol. 4038, pp. 78-87, 2000a.[38]O. A. Abdel Rehim, J. L. Davidson, L. A. Marsh, M. D. O'Toole, D. W. Armitage, and A. J. Peyton, "Measurement system for determining the magnetic polarizability tensor of small metal targets," in Sensors Applications Symposium (SAS), 2015 IEEE, 2015, pp. 1-5.[39]S. J. Norton, I. J. Won, and E. R. Cespedes, "Spectral Identification of Buried Unexploded Ordnance from Low-Frequency Electromagnetic Data," Subsurface Sensing Technologies and Applications, vol. 2, pp. 177-189, 2001.Yifei Zhao received the B.Eng. (honors) degree in electrical and electronic engineering and the Ph.D. degree from the University of Manchester, Manchester, U.K. in 2010 and 2013 respectively. He is currently a research associate within the knowledge transfer partnership at the School of Electrical and Electronic Engineering, University of Manchester, U.K..His current research interests include sensors and instrumentation, metal detection, and electromagnetics.Wuliang Yin (M’05–SM’06) received the B.S. and M.S. degrees in electronic measurement and instrumentation from Tianjin University, Tianjin, China, in 1992 and 1995, respectively, and the Ph.D. degree in automotive electronics from Tsinghua University, Beijing, China, in 1999.He is currently a Lecturer with the University of Manchester, Manchester, U.K. He has authored or coauthored more than 100 publications. His current research interests include advanced sensors and instrumentation, automotive electronics, and electromagnetics.Dr. Yin was a recipient of the Science and Technology Award from the Chinese Ministry of Education in 2000.Christos Ktistis received the B.Sc. degree from the Technological Educational Institution, Serres, Greece, in 2000, the M.Sc. degree from Lancaster University, Lancaster, U.K., in 2002, and the Ph.D. degree from the University of Manchester, Manchester, U.K., in 2007. He is currently a visitor at the School of Electrical and Electronic Engineering, University of Manchester, U.K..Daren Butterworth received the BEng in Electrical and Electronic Engineering from Staffordshire Polytechnic in 1989. He is currently a visitor at the School of Electrical and Electronic Engineering, University of Manchester, U.K..Anthony J. Peyton received the B.Sc. degree in electrical engineering and electronics and the Ph.D. degree from the University of Manchester Institute of Science and Technology (UMIST), Manchester, U.K., in 1983 and 1986, respectively.He was a Principal Engineer with Kratos Analytical Ltd., to 1989, where he was engaged in developing precision electronic instrumentation systems for magnetic sector and quadrupole mass spectrometers. He joined the Process Tomography Group, UMIST, where he was a Lecturer. During 1996, he was a Senior Lecturer with Lancaster University, where he was a Reader in electronic instrumentation during July 2001 and a Professor during May 2004. Since December 2004, he has been a Professor of electromagnetic tomography engineering with the University of Manchester, Manchester. His current research interests include instrumentation, applied sensor systems, and electromagnetics. ................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.