Chapter 2: Introduction to Electrodynamics

⎜ 2 2 2 ⎟(xˆEx + yˆEy +zˆEz ) (2.2.8) ⎝∂x ∂y ∂z ⎠ The solutions to this wave equation (2.2.7) are any fields E(r,t) for which the second spatial derivative (∇2E) equals a constant times the second time derivative (∂ 2 Et∂ 2 ). The position vector r ≡ xˆx + yˆy + zˆz . The wave equation is therefore satisfied by any ... ................
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