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http://en.wikipedia.org/wiki/Diffraction

The step I believe they "fudged" is the final integral under "Quantitative analysis of single-slit diffraction". The integral is from -a/2 to a/2 when they find it equal to (e^ikax/2z - e^-ikax/2z ) / (2ikax/2z). I believe this is the correct answer for this type of diffraction, but if I remember my integrals I can't see how they get the 'a' term in the denominator. Take a look, let me know what you think, if it really is wrong and somebody can correct the Wiki page, would they do so? (just click edit on the section) Or if we discuss it here and find it is in error, I'll correct it later.

Thanks! jet