# 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 φ • ( ) t kx A y ω − = sin 1 • ( ) φ ω + − = t kx A y sin 2 Superposition: resultant wave function is • ( ) ( ) ( ) ( ) ( ) [ ] φ ω ω + − + − = + = 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 φ ω φ t kx A t x y o Same frequency ( ) ω and wavelength ( ) λ as “interfering” waves o Phase angle is 2 / φ o AMPLITUDE of resultant, 2 cos 2 φ A , depends on φ TWO SPECIAL CASES: • Constructive interference...
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L07_a - SUPERPOSITION PRINCIPLE(14.1 in text • When two...

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