329sp09hw9sol

329sp09hw9sol - ECE-329 Spring 2009 Homework 9 Solution...

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Unformatted text preview: ECE-329 Spring 2009 Homework 9 Solution April 4, 2009 1. Region z > is occupied by a perfect conductor and region z < is free space. We will apply Maxwells boundary conditions to fully determine the field phasors in region z < considering that they have the following form E = 3 ye- jz + b e jz and H = c e- jz + d e jz . a) The phasors above correspond to the superposition of two plane waves propagating into + z and- z directions. Given that the wave frequency is = 2 10 8 rad / s , and the propagation velocity in free space is c = 3 10 8 m / s , the propagation constant is = c = 2 3 rad m . Since the tangential component of E must be continuous across the interface and noting that the electric field in the conductor is zero, we can write n E z =0 = where n = z . Replacing terms, we get that z (3 y + b ) = and thus b =- 3 y....
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329sp09hw9sol - ECE-329 Spring 2009 Homework 9 Solution...

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