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devaultc
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Homework Statement
Consider a Fraunhofer diffraction pattern due to two unequal slits. Let a and b be the unequal slit widths and c the distance between their centers. Derive an expression for the intensity of the pattern for and diffraction angle [tex]\theta[/tex], assuming the arrangement to be illuminated by perpendicular light of wavelength [tex]\lambda[/tex].
Homework Equations
Fresnel-Kirchoff formula: Up = C[tex]\int[/tex] E^(ikr)dA
E(kz) = FT{A(z)} where A(z) is the aperture function and FT is Fourier Trnasform
The Attempt at a Solution
My attempt has been to express the double slit as an aperture function A(z) as the sum of the rectangle function rect|(z+c)/a| + rect|(z-c)/b| and take the FT of A(z). I know the general FT of a rectangle function is sinc() but I am not sure how to show that and if I do, how do I interpret my results? Thanks