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yA Mirrors Figure 9.1-1 Planar-mirror waveguide.

yA Mirrors Figure 9.1-1 Planar-mirror waveguide.

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Field Distribution. (a) Demonstrate that a single TEM plane wave E-(y, z)=A exp(-jkyy) exp(-jßz) cannot satisfy the boundary conditions, E-(±d/2, z) = 0 at all z, for the mirror waveguide illustrated in Fig. 9.1-1. (b) Show that the sum of two TEM plane waves written as E„(y, z) = A1 exp(-jky1y) exp(-jß12)+ A2 exp(-jky2y) exp(-jß2z) does not satisfy the boundary conditions if A = ±A2, B1 = B2, and ky1 = -ky2 = mT/d where m = 1,2, ....
Transcribed Image Text:Field Distribution. (a) Demonstrate that a single TEM plane wave E-(y, z)=A exp(-jkyy) exp(-jßz) cannot satisfy the boundary conditions, E-(±d/2, z) = 0 at all z, for the mirror waveguide illustrated in Fig. 9.1-1. (b) Show that the sum of two TEM plane waves written as E„(y, z) = A1 exp(-jky1y) exp(-jß12)+ A2 exp(-jky2y) exp(-jß2z) does not satisfy the boundary conditions if A = ±A2, B1 = B2, and ky1 = -ky2 = mT/d where m = 1,2, ....
yA Mirrors Figure 9.1-1 Planar-mirror waveguide.
Transcribed Image Text:yA Mirrors Figure 9.1-1 Planar-mirror waveguide.
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