lec12a-203-08-standwaves

# lec12a-203-08-standwaves - Wave Interference 12a-sw-1 10-3...

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Unformatted text preview: Wave Interference 12a-sw-1 10-3 8-2 12a-sw-2 Aside: M. Fourier proved that any (well behaved) wave* can be written as a sum of simple harmonic waves. 12a-sw-3 # of terms square wave triangle wave can handle “anything” just add up enough SH waves SH waves are all we need Flip-side of this: can break down any wave into Fourier SH components v = wave velocity +- Add up 2 waves point by point Interference – partial/total cancelation/increase Constructive Interference = + Destructive Interference = + anything in-between 8-3 Interference: simple harmonic waves 12a-sw-4 12a-sw-5 λ /2 0 to 0 |max| to |max| λ /4 λ /2 λ Note: same 12a-sw-6 Standing Waves: e.g. string with fixed end points BOUNDARY CONDITIONS: no amplitude at ends L 1 λ L = 1 2 2 λ L = 2 2 3 λ L = 3 2 n λ L = n 2 :n = 1 ,2 ,3 ,4 ... n n v = λ f n 2 L λ = n n 1 n v v f = = n n f λ 2 L = 12a-sw-7 L 1 λ L = 1 2 2 λ L = 2 2 3 λ L = 3 2 n λ L = n 2 :n = 1 ,2 ,3 ,4 ......
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lec12a-203-08-standwaves - Wave Interference 12a-sw-1 10-3...

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