HW2 - 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. 2 Issued: October 8, 2008 Fall 2008 Due: October 15, 2008 ECE 201A 1. The complex E G field of a uniform plane wave is given by () ( ) 00 ˆˆ + 2 jy xz E a ja e a ja e β =+ G Assuming an unbounded source-free, free-space medium, find (a) the corresponding magnetic field (b) the time-average power density flowing in the + y direction (c) the time-average power density flowing in the – y direction (d) net time average power density (e) polarization of this wave. 2. The electric field of a uniform plane wave traveling in a source-free region of free space is given by ( ) 3 0 10 sin xy E aj a z G (a) Is this a traveling wave or a standing wave? (b) Identify the traveling wave(s) of the electric field and the direction(s) of travel. (c) Find the corresponding magnetic field. (d) Determine the time-average power density of the wave. 3. (a) Show that an elliptically polarized wave can be decomposed into two circularly polarized waves, one left handed and the other right handed.
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HW2 - UNIVERSITY OF CALIFORNIA Santa Barbara Department of...

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