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 Pon the screen as follows.21)(2)(121Ψ+Ψ=Ψ=Ψ=Ψ−−tottkritkriAeAeωand thus ()())cos(21212/)(2/2/2/)()()()(2111121rkeAeeeeAeeAeAeAeriktkririkrikriktkririktkritkritkritot∆=+=+=+=Ψ+Ψ=Ψ∆−∆−∆∆−∆−−−where k = 2π/λ. The path difference (for L >> d) is given by θsin12drrr=−=∆The distance from the center of the two slits and the point Pon the screen is given by r = r1+ ∆r/2and hence
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