chp42_3 - PHY2061 R. D. Field Single-Slit Diffraction...

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PHY2061 R. D. Field Department of Physics chp42_3.doc University of Florida Single-Slit Diffraction Intensity Pattern (2) The overall wave function at the point P on the screen is given by ) sin( ) sin( 2 1 2 1 2 / ) 1 ( 1 1 1 φ ω = = Ψ = Ψ = N e e Ae S e Ae N i ikr t N ikr t i N n n N . The distance where r from the center of the slit to the point P is given by, θ + = + = ) 1 ( sin 2 1 1 2 1 1 N r W r r k . Now as N becomes large → = ∆Φ >> N N N 1 ) 1 ( and ∆Φ ∆Φ ∆Φ ∆Φ = Ψ 2 1 2 1 ) ( 2 1 2 1 ) ( 2 1 2 1 ) ( ) sin( ) / sin( ) sin( ) sin( ) sin( t kr i t kr i t kr i N NAe N Ae N Ae where I used N N N 2 2 sin 1 ∆Φ ∆Φ >> . Thus for large N ∆Φ ∆Φ Ψ 2 1 2 1 ) ( ) sin( ) , ( t kr i N NAe r where λ π sin 2 W
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This note was uploaded on 05/31/2011 for the course PHY 2061 taught by Professor Fry during the Spring '08 term at University of Florida.

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