chp41_6 - PHY2061 R. D. Field Double Slit Intensity Pattern...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
PHY2061 R. D. Field Department of Physics chp41_6.doc University of Florida Double Slit Intensity Pattern We form the superposition of the two waves at the point P on the screen as follows. 2 1 ) ( 2 ) ( 1 2 1 Ψ + Ψ = Ψ = Ψ = Ψ tot t kr i t kr i Ae Ae ω and thus () ( ) ) cos( 2 1 2 1 2 / ) ( 2 / 2 / 2 / ) ( ) ( ) ( ) ( 2 1 1 1 1 2 1 r k e Ae e e e Ae e Ae Ae Ae r ik t kr i r ik r ik r ik t kr i r ik t kr i t kr i t kr i tot = + = + = + = Ψ + Ψ = Ψ where k = 2 π / λ . The path difference (for L >> d ) is given by θ sin 1 2 d r r r = = The distance from the center of the two slits and the point P on the screen is given by r = r 1 + r/2 and hence
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online