31_Chapter 24 HomeworkCH24 Wave Optics

31_Chapter 24 HomeworkCH24 Wave Optics - Wave Optics 333...

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Wave Optics 333 Apply the given identity, realizing that () ( sin sin ) θ βθ −+ = +   () β and ( ) cos cos = + , to obtain ( ) ( ) ( )( 2 cos 180 sin sin n ) 12 sin sin 180 cos nn θβ + ° + = + Apply the identity once again to get ( ) 2 sin n sin cos sin cos =+ ( 2 cos sin sin n ) , or cos −= Since sin cos tan = , this simplifies to 2 sin tan cos n = (b) If , and 90 , 1 n , the above result reduces to = = tan n = , which is Brewster’s law. 24.67 In the single slit diffraction pattern, destructive interference (or minima) occur where ( ) sin ma λ = for . The screen locations, measured from the center of the central maximum, of these minima are at
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