161_1_Lecture_6

161_1_Lecture_6 - EE161 El EE161 Electromagnetic Waves Fall...

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EE161 Electromagnetic Waves all 2010 Fall, 2010 Instructor: Dr. Shenheng Xu Electrical Engineering Dept., UCLA gg p , © Prof. Y. Ethan Wang
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Lecture 6 • Special Angles • Applications kin Effect • Skin Effect ave Absorption • Wave Absorption eflectivity & Transmissivity Reflectivity & Transmissivity
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Perpendicular & Parallel Polarization Transverse Electric (TE) wave Transverse magnetic (TM) wave E- field to the incidence plane E- field || to the incidence plane
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Perpendicular Polarization r x jk r r e E y 1 0 ˆ ~ E r i x jk i i 1 ˆ ~ r x jk r r e E y 1 1 0 ˆ ~ H t x jk t t e E y 2 ˆ ~ E e E y 0 E i x jk i i i e E y 1 1 0 ˆ ~ H 0 t x jk t t t e E y 2 2 0 ˆ ~ H
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Special Angles - Brewster Angle A particular incidence angle which produces no reflection Brewster Angle: erpendicular Polarization: arallel Polarization: Perpendicular Polarization: t i i r E s s cos cos 1 2 0 0 Parallel Polarization: 0 i t i r E s s cos cos 1 2 0 || || t i E cos cos 1 2 0 B i t i cos cos 1 2 B i i t cos cos 1 2 i t E cos cos 1 2 0 || 2 2 1 1 sin sin i t 2 2 1 1 sin sin i t 2 2 1 1 2 2 1 ) ( 1 ) ( 1 sin B 2 2 1 2 1 1 2 || ) ( 1 ) ( 1 sin B Infinity, when 2 1  oesn’t exist for ) / ( 1 1 sin 2 1 1 || B doesn t exist for nonmagnetic materials!!! B ) (for tan 2 1 1 2 1
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Special Angles - Brewster Angle No Reflection Total Transmission Could be used to design a polarizer!!!
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Example - Brewster Angle (1) Find out 3 1 2 sin 1 r 2 r 1 3 r r 3 2 1 sin From Snell’s law, 2 3 sin 1 2 2 3 2 sin 1 2 2 n n n n 1 1 2 3 2 3 3 sin sin sin sin Therefore, ) 1 3
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This note was uploaded on 02/09/2011 for the course EE 161 taught by Professor Huffaker during the Spring '08 term at UCLA.

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161_1_Lecture_6 - EE161 El EE161 Electromagnetic Waves Fall...

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