# polarize - Polarization polarized light linear polarization...

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polarization Electromagnetic Waves and Optics 1 Polarization • polarized light – linear polarization – circular polarization – elliptical polarization • manipulating polarization – scattering – reflection –d ich ro i sm – birefringence polarization Electromagnetic Waves and Optics 2 Polarized Light superposition: same frequency, orthogonal direction special case: linear polarization x -and y -polarized states form a basis for describing any linear polarization state ( ) ) cos( ) cos( ˆ ˆ 0 0 0 0 t kz E t kz E j E i E y x ω δ = + = = r r () ( ) + + = t kz E j t kz E i E y x cos ˆ cos ˆ 0 0 r x y x E 0 y E 0 2 0 2 0 0 y x E E E + =

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polarization Electromagnetic Waves and Optics 3 Polarized Light another special case: right/left circular polarization – constant amplitude – direction rotates ccw/cw as z increases – rcp and lcp states form a basis for describing any linear polarization state, e.g. ()() [] t kz j t kz i E E E E E y x ω π δ ± = = = = ± sin ˆ cos ˆ 2 , 0 0 0 0 r m ( ) + + = E E t kz E i r r 2 1 ) cos( ˆ 0 x y ( ) t kz E cos 0 ( ) t kz E sin 0 () lcp 2 + = rcp 2 = polarization Electromagnetic Waves and Optics 4 Polarized Light general case: elliptical polarization – either – example: – both amplitude and direction vary “unpolarized” light – (randomly polarized) – typical for primary light sources » exceptions: lasers, synchrotron sources 2 or 0 0 m E E y x x y ( ) t kz E x cos 0 ( ) t kz E y sin 0 ) sin( ˆ ) cos( ˆ 0 0 t kz E j t kz E i E y x + = r rotates with increasing z
polarization Electromagnetic Waves and Optics 5 Polarization by Scattering

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## This note was uploaded on 08/26/2008 for the course PHYSICS 603 taught by Professor Sage during the Summer '06 term at Northwestern.

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polarize - Polarization polarized light linear polarization...

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