L07_a - SUPERPOSITION PRINCIPLE (14.1 in text): When two...

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Unformatted text preview: SUPERPOSITION PRINCIPLE (14.1 in text): When two waves meet in a medium effects add Resultant disturbance is sum of combining disturbances o ( ) ( ) ( ) t x y t x y t x y , , , 2 1 R + = INTERFERENCE OF SINUSOIDAL TRAVELING WAVES First: two waves, both going right, identical except that phase differs by ( ) t kx A y = sin 1 ( ) + = t kx A y sin 2 Superposition: resultant wave function is ( ) ( ) ( ) ( ) ( ) [ ] + + = + = t kx t kx A t x y t x y t x y sin sin , , , 2 1 R Use identity (Table B3, p. A21) + = + 2 sin 2 cos 2 sin sin b a b a b a to get: Resultant: ( ) + = 2 sin 2 cos 2 , R t kx A t x y o Same frequency ( ) and wavelength ( ) as interfering waves o Phase angle is 2 / o AMPLITUDE of resultant, 2 cos 2 A , depends on TWO SPECIAL CASES: Constructive interference...
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L07_a - SUPERPOSITION PRINCIPLE (14.1 in text): When two...

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