SJSU EE 140 - soln140_MT2_F14 (1) (3 pages)

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soln140_MT2_F14 (1)

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Pages:
3
School:
San Jose State University
Course:
Ee 140 - Principles of Electromagnetic Fields

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EE 140 Mid Term 2 Dr Ray Kwok Name Last First 1 A 159 MHz LHCP electromagnetic wave is incident normally along the z direction from air onto a lossless dielectric medium r 4 z 0 such that Eoi 0 0 at the origin is 2 V m along the x direction Write the incident Ei r t and reflected Er r t wave expressions What is the polarization state of the reflected wave r ki ko z r r Ei r t x 2 cos t k o z y 2 sin t k o z x t 0 t y z 2 f 109 10 ko 3 33 c 3 r r Ei r t x 2 cos 109 t 3 33z y 2 sin 109 t 3 33z V m n1 n2 1 2 1 n1 n2 1 2 3 r kr k o z r r 2 2 Er r t x cos 109 t 3 33z y sin 109 t 3 33 z V m 3 3 x y z RHCP t 0 t EE 140 Mid Term 2 Dr Ray Kwok 2 A plane wave is propagating in air upon an interface defined by medium of z 0 r 4 r r 1 and loss tangent of 0 001 If the incident electric field intensity is given by r Ei r t x 2 cos t y 2 z 0 5 V m what is Ht r t What is the angular frequency kr Hr reflection Er ko 5 2 24 transmission Et r O i ki 1 2 cko 3 108 2 24 6 71 108 kt t Ht incidence Ei r ki y 2 z n1 n2 i tan 1 26 6o z rad sec y n1 sin i n2 sin t 1 sin 26 6 o 2 sin t Hi t 12 9 o 2n1 cos i 2 1 cos 26 6o 0 63 n1 cos i n2 cos t 1 cos 26 6o 2 cos12 9o Eot Eoi 0 63 2 1 26 H ot Eot 2 Eot r o 1 26 2 0 00668 377 r 6 71 108 4 0 001 0 00224 tan 2 2c 2 3 108 n2 k2 k o n2 2 24 2 4 48 v c r kt k2 y sin t z cos t 4 48 y sin 12 9o z cos12 9o y z 4 4 r r r r H t r t y cos t z sin t H ot e y sin t z cos t cos t kt r 0 5 r r H t r t y 0 97 z 0 223 0 00668 e 0 00011 y 0 0022 z cos 6 7 108 t y 4 4 z 0 5 r r H t r t y 6 48 z 1 49 e 0 00011 y 0 0022 z cos 6 7 108 t y 4 4 z 0 5 mA m EE 140



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