PHYS/MUS 102, SPRING 2015 Wave Interference. Longitudinal drawn as Transverse Waves 1. It’s a longitudinal wave 2. But it can be represented by drawing.

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Presentation transcript:

PHYS/MUS 102, SPRING 2015 Wave Interference

Longitudinal drawn as Transverse Waves 1. It’s a longitudinal wave 2. But it can be represented by drawing our typical sine wave

What happens when 2 pulses interfere? Constructive Interference Destructive Interference

Wave interference (aka superposition)

What happens when 2 sources with different frequencies interfere?

Answer: Beats! f sum = Questions: Where does occur in a music context, and what will this sound like?

Tune up

Two-source interference

Quantifying intensity maxima m = 0 m = 1 m = 2 m = -1 m = -2 d L z Source 1 Source 2

Phase shift 

Predicted (theoretical) locations of maxima/minima Maxima occur where: m = d sin  = d (z/L) m = …-2, -1, 0, 1, 2 Minima occur where: (m+1/2) = d sin  = d (z/L)

Symphony of Superposition

Image sources Boston University