ECE 222B, Winter 2010 Homework Set 6, Due March 11th 1. Assume that you are given a dielectric covered ground plane as shown in Figure 8-30 of Balanis. Assume that the height of the dielectric covering is h , the dielectric permittivity is ² d , and the permeability μ is ther same for both the dielectric and the vacuum regions. We wish to examine the propagation properties of the ideal TM z0 mode; that is, the mode with a zero-frequency cutoﬀ and vector potential A z ( y,z ) = A d sin( β yd y )exp( jβ z z ) for y < h , and A z ( y,z ) = A0 exp(-αy )exp( jβ z z ) for y > h , and where A d and A0 are constants. (a) Since β yd → 0 and α → 0 as ω → 0, use a small argument expansion in frequency to demonstrate that
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This note was uploaded on 10/09/2010 for the course ECE 230 at UCSD.