1.3 Waves - Waves 1.3 Superposition principle Interference...

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1 Waves 1.3 •Superposition principle •Interference •Beats •Fourier analysis Superposition principle The displacement due to two waves that pass through the same point in space is the algebraic sum of displacements of the two waves. The combination of waves is called interference. Constructive interference – the waves reinforce each other Destructive interference – the waves cancel each other. Superposition Principle • When two waves overlap in space the displacement of the wave is the sum of the individual displacements. Constructive Interference distance Wave 1 Wave 2 Superposition The two waves have the same phase Destructive Interference Wave 1 Wave 2 Superposition The two waves are out of phase (by 180 o , or π ) Distance -> Noise canceling headphones Noise Anti-noise Wave 1 Wave 2
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2 Interference due to path difference path difference = δ =r 2 –r 1 In phase at x=0 Condition for constructive interference m δ λ = Condition for destructive interference 1 () 2 m =+ m = 0 + 1, + 2,….
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1.3 Waves - Waves 1.3 Superposition principle Interference...

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