waveinter

waveinter - Wave Interference with Applications Math Aside:...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Wave Interference with Applications Math Aside : The following trigonometry identity will be useful for this topic: sin α + sin β = 2cos[( α - β )/2] sin[( α + β )/2] The superposition principle shows how to find the wave function when more than one wave occupies a string. We call this wave interference, wave addition or wave superposition; these all mean simply, add the waves, y = y 1 + y 2 . Applications One result of this principle is the phenomenon of constructive and destructive interference . We will also examine two more applications: standing waves and beats .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Adding two identical sinusoidal traveling waves differing only by a phase constant, δ A. One dimension Using the trig. identity and superposition principle above, y = A sin(kx - ϖ t) + A sin(kx - ϖ t + δ ) y = 2A cos[ δ /2] sin[kx - ϖ t + δ /2] Special cases: δ = 0 constructive interference Corresponding points line up, i.e. crests line up with crests, and troughs line up with troughs. δ = π
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 07/29/2011 for the course PHY 2048 taught by Professor Chen during the Spring '08 term at UNF.

Page1 / 7

waveinter - Wave Interference with Applications Math Aside:...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online