Classnotes

Classnotes - ) / sin sin( = a m a m = / sin a m m / =...

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Liu UCD Phy9B 07 1 Ch 36. Diffraction
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Liu UCD Phy9B 07 2 36-2. Diffraction from a Single Slit Please read 36-1 on your own.
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Liu UCD Phy9B 07 3 Single Slit Dark fringes sin θ = m λ /a ... 3 , 2 , 1 ± ± ± = m Diffraction minima y min =xm /a y m <<x But m=0 is bright Recall double slit case bright fringes/interference maxima: y max = R m /d dark fringes/interference minima: y min = R( m + 1/2) /d
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Liu UCD Phy9B 07 4 36-3. Intensity in the Single-Slit Pattern 2 ) 2 / ( ) 2 / sin( = β o I I θ λ π sin 2 a = 2 ) / sin ( ) / sin sin( = a a I I o Maxima: 2,. ..) 1, 0, (m , ) 1 2 ( = + ± m 2 2 ) 2 1 ( + m I I o m Phase difference from top and bottom of the slit: Intensity maxima
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Liu UCD Phy9B 07 5 Width of the Single-Slit Pattern θ 1 of first minimum: 1 = λ /a Minima: I=0
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Unformatted text preview: ) / sin sin( = a m a m = / sin a m m / = Smaller a : larger 1 Liu UCD Phy9B 07 6 36-4. Multiple Slits Single slit, finite width a Double-slit, separation d , each slit is very narrow Double-slit, separation d , each slit has finite width a 2 2 ) 2 / ( ) 2 / sin( 2 cos = o I I sin 2 a = sin 2 d = Liu UCD Phy9B 07 7 N-Slits Similar to double-slit: maxima at dsin =m Principal maximum: ~N 2 N-1 minima between maxima...
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This note was uploaded on 02/17/2009 for the course PHY na taught by Professor Richardscalettar during the Spring '09 term at UC Davis.

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Classnotes - ) / sin sin( = a m a m = / sin a m m / =...

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