HW5 - 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. 4 Issued: October 31, 2007 Fall 2007 Due: November 9, 2007 5 PM ECE 201A 1. If the linear antenna shown in the Figure is an integral number of half wavelengths long, the current will assume the form () s i n( ) 2 m L Iz I kz =+ regardless of the position of the feed as long as it is not near a current null. Such an antenna is said to be of resonant length. Find an expression for the magnetic vector potential for this antenna. X Z Y L/ 2 -L/2 I(z) r θ 2. The figure below shows a square loop whose sides are electric dipoles each of length 2 l and current I. II I I 2 l 2 l x y
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(a) Find the radiation field of the square loop on the z axis, which is perpendicular to the paper. (b) Find the radiation field of the square loop on the x axis. 3. Show that the one dimensional Green's function in free space is given by exp( ' ) (, ' ) 2 jkx x Gxx
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HW5 - UNIVERSITY OF CALIFORNIA Santa Barbara Department of...

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