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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] 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 2 2 2 2 2 1 0 y y E E x c t ! ! " # ! ! One-dimensional wave equation: 0 ˆ ˆ ( , ) cos( ) y E x t A kx t # " \$ % & y y 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
3 E y wave crest position 0 ( ) v x t t x # % 0 Simple Transverse Waves A 0 x E kx t ( # " \$ 9/20/2010 OPTI380A – Lab 4: Wave Motion 5 ) -A 0 Standing Waves (Waves traveling in opposite directions) ( , ) cos( ) ( ) cos( ) a a E x t A kx t E x t A kx t # " \$ % & # \$ % & ( , ) b b " " \$ % & ( , ) 2 cos cos 2 2 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 4 5 2 3 2 2 2 2 0 0 ( , ) 1 cos(2 ) 1 cos( 2 ) ( ) , 1

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