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I'm working in an exercise of advanced optics related to diffraction, in Fraunhoffer's aproximation.

I need to calculate theFT of a gaussian multiplied by a rectangle function, i.e, FT(exp(-x^2)*rect(x/a)), and I cant obtain a result expressed using analytical common functions. I can only obtain one solution using Fresnel integrals.

I think there could be a simpler way of expressing this result. Anyone can help me?

Thanks.

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# Fourier Transform for Diffraction

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