Hwork_7_23_solns

# Hwork_7_23_solns - 7.2 For a plane wave traveling in free...

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1 7.2 For a plane wave traveling in free space upwards towards the boundary at z=0 with medium 2, calculate and plot the TE and TM reflection and transmission coefficients for the four cases given below. Case1 : ε r 2 =4, μ r 2 =1 Case 2 : ε r 2 =1 μ r 2 =4 Case 3 : ε r 2 =4 μ r 2 =4 Case 4 : ε r 2 =0.3 μ r 2 =1 a) First make these plots versus k y , given that the incident propagation constant is k 0 , In other words the x- axis of your plots shows k y /k 0 , and of course this quantity goes from 0 to 1. b) Then repeat the plots versus angle of incidence. c) If you see extreme behavior in the reflection coefficient such as it being 1 or 0, explain it. (If you need to assume a frequency to do these calculations, assume 1GHz) In MathCAD form ZTM mj , eta m kzm , km m := ZTE , eta m km m kzm , := kzm , km m () 2 ky j 2 := km m k0 ep m mu m := eta m eta0 mu m ep m := mu m Material m2 , := ep m Material m1 , := m14 .. := Material 4 1 4 0.3 1 4 4 1 := I used the math options to change the starting array point to 1 from the default of zero I will do all the other materials in one shot by defining ZTM0 j eta0 kz0 j k0 := ZTE0 j eta0 k0 kz0 j := kz0 j k0 2 ky j 2 := ky j jk0 1000 := j 1 999 .. :=

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## This note was uploaded on 04/22/2009 for the course EEE 341 taught by Professor Diaz during the Spring '09 term at ASU.

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Hwork_7_23_solns - 7.2 For a plane wave traveling in free...

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