2) Consider a wave guide with a uniform cross section and perfectly conducting walls. The interior medium has permittivi

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2 Consider A Wave Guide With A Uniform Cross Section And Perfectly Conducting Walls The Interior Medium Has Permittivi 1 (118.22 KiB) Viewed 58 times

2) Consider a wave guide with a uniform cross section and perfectly conducting walls. The interior medium has permittivity ej and permeability for z < 0, and permittivity €2 and permeability up for z > 0. A propagating TM mode is incident from the left (z < 0). We therefore take Eo (eikız + Re-ikız)(71) for z<0, Ez(2,71) = E, Tekz* p.) for z>0, where (V² + y2)4(71) O for some positive eigenvalue 72, and R and T are dimen- sionless coefficients. A time dependence of e e-iwt is assumed. a) Find the allowed values of kį and k2. b) Use the appropriate boundary conditions to compute the reflection amplitude R and the transmission amplitude T. =