OPTI 380A Lab 7 - Interference - Slides-7

OPTI 380A Lab 7 - Interference - Slides-7 - OPTI 380A...

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1 OPTI 380A Intermediate Optics Lab 7: Interference Tom Milster Professor, College of Optical Sciences, University of Arizona milster@arizona edu milster@arizona.edu Plane Waves () ( , ) j t te !" # kr 0 U r U ! k ˆ z Wave fronts . Max separation between planes = . $ % k 0 ˆ in linear, isotropic media $ Uk U 10/7/2010 OPTI380A - Lab 7: Interference 5 ˆ x ˆ y
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2 Two Vector Plane Waves -Dynamics k • For % 1 = % 2 , " & = 0 and (Time Domain Dynamics) 1 k 2 & k k modulation is stationary. • For % 1 = % 2 , • Power flow is along constructive lines. • Total energy is conserved due to destructive lines. & $ kk 10/7/2010 OPTI380A - Lab 7: Interference 6 Red = negative field amplitude Blue = positive field amplitude z x y Two Vector Plane Waves - Irradiance (Time Averaged Irradiance) 2 1 I CA *+ k ( ) ( ) cos & # . ,- ! r r 12 & ! k = k k ( ) () When 2 , a fringe occurs from interference. When 2 ( 1/ 2), a fringe occurs from interference. m bright constructive m dark destructive ! # / ! # / . k k r k k r ! ! k power flow 10/7/2010 OPTI380A - Lab 7: Interference 7 r & & !
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OPTI 380A Lab 7 - Interference - Slides-7 - OPTI 380A...

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