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# hw8 - Phys 3327 Fall 2010 HW 8 Due Wednesday in lecture...

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Phys 3327 Fall 2010 HW 8 Due Wednesday 11/3/10 in lecture Homework 8 Wave Guides Ex 8.1: Electromagnetic wave incident on conductor An electromagnetic wave of frequency ω , moving in a medium with dielectric constant ± and magnetic permeability μ = 1, is incident normally on the surface of a metal. The metal has ±nite but large conductivity σ m and dielectric constant ± m . We choose coordinate axes such that the surface of the metal is the xy plane and the metal ±lls the half-space z> 0, see ±gure. The electric ±eld of the incident wave is E 0 ( r ,t )= Re E 0 0 e i ( kz - ωt ) e x , with z< 0. The frequency ω satis±es the inequality ω ± σ m , and you may give all your answers below to leading order in the small ratio ω/σ m . In the questions below, indicate directions using a right-handed coordinate system with unit vectors e x , e y and e x . a) What are the electric and magnetic ±elds E 1 ( r ) and B 1 ( r ) of the re²ected wave? Write your answer in terms of the amplitude E 0 , wavenumber k , and frequency ω of

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hw8 - Phys 3327 Fall 2010 HW 8 Due Wednesday in lecture...

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