# ps5 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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------------------------------------------------------------------------------ MASSACHUSETTS INSTITUTE OF TECHNOLOGY± Department of Electrical Engineering and Computer Science± Problem Set No. 5 6.630 Electromagnetics Issued: Fall Term 2006 Due: Reading assignment : Section 1.6-1.7, 2.1; J. A. Kong, “ Electromagnetic Wave Theory ,”. Additional materials : Waves in media MATLAB scripts in tools section. Quiz 1: October 19, Thursday, Open 1 book . Problem P5.1 A plane wave is propagating in a homogeneous medium with the permittivity ± and permeability µ . The magnetic ²eld is 1 3 1 H 1 = ωµ ( 2 ky ˆ + Akx ˆ) cos( 2 kx + 2 ky ωt ) (a) Write out the k vector and prove A = 1 2 . (b) What is the electric ²eld E 1 ? (c) Let the half space y> 0 be ²lled with another material with the permittivity 2 1 ± and the permeability 3 2 µ . The wave H 1 is incident on the boundary y = 0 from the half space y< 0. (i) Is the incident waveaTEoraTMwave?

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ps5 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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