OPTI 380A Lab 4 - Wave Motion - Presentation Slides-1

OPTI 380A Lab 4 - Wave Motion - Presentation Slides-1 -...

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1 OPTI 380A Intermediate Optics Lab 4: Wave Motion Tom Milster Professor, College of Optical Sciences, University of Arizona [email protected] edu [email protected] Pendulum 9/20/2010 OPTI380A – Lab 4: Wave Motion 2
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2 Electromagnetic Waves 9/20/2010 OPTI380A – Lab 4: Wave Motion 3 Simple Transverse Waves 22 2 2 2 1 0 yy EE x c t !! "# One-dimensional wave equation: 0 ˆˆ ( , ) cos( ) y E x t A kx t # " $ % & Solution for the real wave traveling in + x direction: The complete solution involves y E if . k c $ # E H 9/20/2010 OPTI380A – Lab 4: Wave Motion 4 consideration of the magnetic field. If we take a snapshot in time of the EM wave it may look like: x z H S = E x H
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3 E y wave crest position 0 () v x t t x # % Simple Transverse Waves A x kx t ( # " $ 0 9/20/2010 OPTI380A – Lab 4: Wave Motion 5 ) -E 0 -A 0 Standing Waves (Waves traveling in opposite directions) ( , ) cos( ) ( ) cos( ) aa E x t A kx t E x t A kx t # " $ % & # $ % & ( , ) bb "" ( , ) 2 cos cos 22 E x t A kx t * + & & , - , - # % "$ % . / . / 0 1 0 1 Addition of the two waves: Square magnitude and irradiance: 9/20/2010 OPTI380A – Lab 4: Wave Motion 6 2 32 3 45 23 00 ( , ) 1 cos(2 ) 1 cos( 2 ) ( ) , 1 cos(2 ) E x t A kx t I x
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OPTI 380A Lab 4 - Wave Motion - Presentation Slides-1 -...

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