05_03_16 - 95 Projection amplitudes for linear and circular...

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Georg.Hoffstaetter@Cornell.edu 95 Projection amplitudes for linear and circular polarization 03/16/2005 The field of any plane light wave with frequency Q can be decomposed in linear polarization and in circular polarization: Example: Corresponding projection amplitudes Example of circular polarization: Corresponding complex projection amplitudes ] ) Re[( ) ( t z k i y y x x e A e A e E ϖ - + = , ] } Re[{ ) ( t z k i y L x R e B e B e E - + = T T y e x e x e y e ] ) sin cos Re[( ] Re[ ) ( ) ( t z k i y x t z k i x e e e e e ϑ - - + = cos | , sin | sin | , cos | = < - = < = < = < y y y x x y x x x e E ] ) Re[( ] Re[ ) ( 2 1 2 1 ) ( t z k i y x t z k i R e e i e e e - - - = 2 2 , y x y x e i e L e i e R e e + - = = 2 1 2 1 2 1 2 1 | , | | , | i L y L x i R y R x = < = < - = < = <
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Georg.Hoffstaetter@Cornell.edu 96 Properties of projection amplitudes 03/16/2005 Probability to be in a given state:
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05_03_16 - 95 Projection amplitudes for linear and circular...

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