2. A 385 MHz uniform plane wave (UPW) travelling in a lossless dielectric medium (u; = 1, &, = 2.6) occupying the region
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2. A 385 MHz uniform plane wave (UPW) travelling in a lossless dielectric medium (u; = 1, &, = 2.6) occupying the region
2. A 385 MHz uniform plane wave (UPW) travelling in a lossless dielectric medium (u; = 1, &, = 2.6) occupying the region z = 0 has an electric field in the form of = Ē; =- j78ā, e -j(ki sin(0; )x+k; cos():) V/m = 2 The wave is incident on an air boundary at z=0, occupying the region z20. Assume angle of incidente, = 081find the following: - B kr (a) Direction of propagation of incident, reflected and transmitted waves, ār;, ār, and äkt (b) Time-average Poynting vector of the incident, reflected and transmitted waves i.e. S, S, and S, i ? r (c) The average power transmitted through 0.5m’a area at z = 0. = āki = 0.85ā, +0.53ā, ; [Ans: 03= 31.8°, āk, = 0.53ā, +0.85ā,, ärr = 0.53ā; – 0.85ā,, S; = 6.85ā, +11.1ā., S, = 1.35ā, - 2.2ā., S, = 14.3ā, +8.97., 4.45 W] >
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