Question 4 Consider a rectangular waveguide with PMC walls infinite in the 2 direction as shown...

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Question 4 Consider a rectangular waveguide with PMC walls infinite in the 2 direction as shown in the following figure. The waveguide is filled with medium 1 for z < 0 and medium 2 for z > 0. A TM, wave is incident from left (i.e., medium 1). Calculate the reflection and transmission coefficient at z = 0 interface. Hint: For TM modes, the Hertz vector potential is given by = 2. In region 1, ,1 (x, y) (Aei2 + Be-i) and in region 2, I,2 = (x, y) Cei2z where '(x, y) satisfies the scalar wave equation V2 + ky = 0 . b a Region 1 Region 2 N - Question 4 Consider a rectangular waveguide with PMC walls infinite in the 2 direction as shown in the following figure. The waveguide is filled with medium 1 for z < 0 and medium 2 for z > 0. A TM, wave is incident from left (i.e., medium 1). Calculate the reflection and transmission coefficient at z = 0 interface. Hint: For TM modes, the Hertz vector potential is given by = 2. In region 1, ,1 (x, y) (Aei2 + Be-i) and in region 2, I,2 = (x, y) Cei2z where '(x, y) satisfies the scalar wave equation V2 + ky = 0 . b a Region 1 Region 2 N -