# HW7 - UNIVERSITY OF CALIFORNIA Santa Barbara Department of...

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UNIVERSITY OF CALIFORNIA Santa Barbara Department of Electrical and Computer Engineering Problem Set No. 7 Issued: November 19, 2008 Fall 2008 Due: November 26, 2008 ECE 201A 1. (a) The figure below shows an aperture antenna consisting of a rectangular waveguide opening into a ground plane. Find expressions for the fields that we be generated by this arrangement everywhere using the equivalence principle. Note that you are not required to find a solution. A formulation that results in an integral equation will be sufficient. (b) Assume that E y in the aperture is that of the TE 10 waveguide mode, i.e., 0 cos( ) j z y E Ex e a β π = Find the radiation field of this antenna. X Z Y Ground plane Waveguide a b

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2. In the figure below a perfectly conducting diaphragm is placed inside a rectangular waveguide at 0 z = . It extends for cxa << and 0 y
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## This note was uploaded on 12/02/2009 for the course ECE 000 taught by Professor O during the Spring '09 term at UCSB.

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HW7 - UNIVERSITY OF CALIFORNIA Santa Barbara Department of...

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