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Unformatted text preview: UNIVERSITY OF CALIFORNIA Santa Barbara Department of Electrical and Computer Engineering Problem Set No. 3 Issued: October 15, 2008 Fall 2008 Due: October 22, 2008 ECE 201A 1. A linearly polarized plane wave is incident on a dielectric slab as shown in the figure below. Find an expression for the thickness d of the slab in terms of the free space wavelength, the angle of incidence ! i and the index of refraction r n " # of the slab so that all of the incident power is is transmitted into region III. k H E $ $ $ d % i Region I Region II Region III & " ’ " ’ " 1 ’ n # " r " 1 = " r " 2. Consider a 90 ) corner reflector shown in the figure below. It is made of two conducting plates placed perpendicular to each other. A uniform plane wave with ! ! E a E e z jkx jky # * ( cos sin ) ! ! impinges on the structure at an angle ! . Find the total electric field. Plot the electric field phasor amplitude as a function of x at a finite y other than zero for !...
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