OPTI 380A Lab 6 - Waveplates and Stokes Vectors - Presentation Slides-5

OPTI 380A Lab 6 - Waveplates and Stokes Vectors - Presentation Slides-5

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1 OPTI 380A Intermediate Optics Lab 6: Waveplates and Stokes Vectors Tom Milster Professor, College of Optical Sciences, University of Arizona [email protected] edu [email protected] Linearly Polarized EM Wave 10/1/2010 OPTI380A - Lab 6: Waveplates and Stokes Vectors 2
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2 Various States of Polarization 10/1/2010 OPTI380A - Lab 6: Waveplates and Stokes Vectors 3 Simulation by Bernd Geh of Zeiss Polarization Consider the case of an EM plane wave traveling in the + z direction. E oscillates perpendicular to oscillates perpendicular to z . General solution: ( ) ( ) 0 ˆˆ ( , ) j kz t j j kz t xy z t e A A e e !" # !" $% & & () U U x y We will now trace the tip of the electric vector for several special cases. y * + , Re AA , 10/1/2010 OPTI380A - Lab 6: Waveplates and Stokes Vectors 4 -x z U We will look at both: 0 0 fixed with variable fixed with variable z z t t t z & & &&
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3 Polarization – Linear 0 # & Special case where A =A =A - . /0 - . - . () 0 0 ˆˆ ( , ) Re ( , ) cos j kz t z t A e z t A kz t !" &’ & ! " U x y U x y This is the physical wave. Consider z = z 0 , where / 0 - . - . 0 0 0 Re ( , ) cos z t A kz t & ! " U x y Trace the tip of the electric vector y U 0 A Special case where A x = A y = A 0 : 10/1/2010 OPTI380A - Lab 6: Waveplates and Stokes Vectors 5 in the ( x , y ) plane in time: x 0 A 0 A ! 0 A ! 0 max extension = 2 A 1 This is true for all z 0 . Polarization – Left Circular 0 /2 xy A AA && # & 2 ( ) 0 ( , ) j j kz t z t A e e 2 !" $% U x y Consider z = 0 where Consider t = 0 where Consider 0 , where * + / 0 0 0 Re (0, ) cos( ) cos( / 2 ) cos( ) sin( ) t A t t A t t & " 2 ! " & " " U x y " t = 0 " t = 2 /4 y 0 A " t = 2 /2 " t = 3 2 /4 " t = 2 1 U Consider 0 , where * + / 0 0 0 Re ( ,0) cos( ) cos( / 2 ) cos( ) sin( ) z A
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OPTI 380A Lab 6 - Waveplates and Stokes Vectors - Presentation Slides-5

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