HW4 - 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 24, 2007 Fall 2007 Due: October 31, 2007 ECE 201A 1. i E G Beam splitter z x y i k G r E G r k G i H G r H G t E G t k G t H G (a) The figure above shows a beam splitter in free space. The beam splitter is a very thin diaphragm that reflects and transmits certain fractions of the incident wave. Assume that a linearly polarized plane wave propagating in z direction and polarized in x direction is incident on the beam splitter, i.e., 0 0 ˆ jk z ix i Ea E e = G . The transmitted and reflected waves can be written as 0 0 ˆ jk z tx i t E e = G and 0 0 ˆ jk x rz i j r E e =− G . Write expressions for the incident, reflected and transmitted magnetic fields. (b) Find the ratio of the reflected and transmitted power fluxes to the incident power flux. What condition should be satisfied to conserve power? (c) Consider the following arrangement of this beam splitter and four mirrors in a homogenous, uniform and isotropic space.
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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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HW4 - UNIVERSITY OF CALIFORNIA Santa Barbara Department of...

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