ECE 329 Homework 8 Due: Tue, Mar 11, 2008, 5PM 1. Two perfect dielectric materials are separated by a boundary coinciding with x =0 plane. The dielectric located at x<0 (denoted by subscript 1) is characterized by a permittivity of 3 ± o , while that located at x>0 (denoted by subscript 2) is characterized by a permittivity of 5 ± o . The bondary contains no surface charge. If the electric Feld on the + x side of the boundary is given by E 1 = E o (ˆ x + 3ˆ y ) V/m and E 2 denotes the Feld on-x side, Fnd the following: (a) E 2 x /E 1 x , (b) E 2 y /E 1 y , (c) E 2 z , (d) | E 2 | / | E 1 | , and (e) | D 2 | / | D 1 | . 2. Assume that region z<0 is occupied by an ideal dielectric with ± = ± 1 and μ = μ 1 while we have another ideal dielectric in the region z>0 having the parameters ± = ± 2 and μ = μ 2 . Show that plane wave Felds with phasors ˜ E 1 =ˆ xE o e-jβ 1 z in z<0 and ˜ E 2 =ˆ xE o e-jβ 2 z in z>0 , and the corresponding magnetic Feld phasors ˜ H 1 and ˜
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This note was uploaded on 04/14/2009 for the course ECE 329 taught by Professor Franke during the Spring '08 term at University of Illinois at Urbana–Champaign.