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EEE 161

Applied Electromagnetics, Spring 2007.

Laboratory Exercise 9

Waves on a Transmission Line

Problem 1. Using Matlab plot the sinusoidal signal

[pic] as a function of distance at the time t=0s,T/8,T/4,T/2. Assume that the frequency of the signal is f=1GHz. Which direction is the signal propagating towards the generator or away from the generator?

Problem 2. Repeat the previous problem if the sign in front of beta is positive. Which direction is the signal propagating now?

Problem 3. Using the following code as a guidance

Z = peaks; surf(Z);

axis tight

set(gca,'nextplot','replacechildren');

% Record the movie

for j = 1:20

surf(sin(2*pi*j/20)*Z,Z)

F(j) = getframe;

end

% Play the movie twenty times

movie(F,20)

to make a movie showing the sinusoidal signal

[pic] as a function of distance. Select appropriate time steps, so that the signal moves smoothly (T/10 time step may be appropriate). Assume that the frequency of the signal is f=1GHz.

Problem 4. Repeat the previous problem if the sign in front of beta is positive.

Problem 5. Show both signals on the same graph, together with the sum of the two signals.

Problem 6. Write Matlab code to add to previous plot figures 2-11 and 2.12 from the book. What do we see on these figures?

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