ps2 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science Problem Set No. 2 6.630 Electromagnetic Theory Issued: Week 2 Fall Term 2006 Due: Week 3 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Reading assignment : Section 1.3-1.4; J. A. Kong, “ Electromagnetic Wave Theory ,” EMW, 2005. Problem P2.1 Prove the following identities: ∇× ∇× E ± = ∇· E ± -∇ 2 E ∇· E × H ± = H · ∇× E ± - E · ∇× H ± ∇· ∇× A ± = 0 ∇× ( φ ) = 0 Problem P2.2 Consider an electromagnetic wave propagating in the ˆ z -direction with E = ˆ xe x cos( kz - ωt + ψ x ) + ˆ ye y cos( kz - ωt + ψ y ) where e x , e y , ψ x , and ψ y are all real numbers. (a) Let e x = 2 , e y = 1 , ψ x = π/ 2 , ψ y = π/ 4 . What is the polarization? (b) Let
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This note was uploaded on 12/02/2010 for the course ECE 6.641 taught by Professor Zahn during the Spring '09 term at MIT.

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ps2 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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