HW9 - 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. 9 Issued: November 28, 2007 Fall 2007 Due: December 5, 2007 ECE 201A Final: Final exam will be held on December 11, 2007 between 8:00 and 11:00 a.m. All the material covered will be included in the final. Exam will be closed book. Formulas and equations too hard to remember or derive will be provided. Please bring a blue book to the exam. 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 2. Show that the current sheets
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2 23 1 sin 4 1 sin 4 jka s jka s IL jk Ju e aa IL j Mu
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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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HW9 - UNIVERSITY OF CALIFORNIA Santa Barbara Department of...

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