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yawphys

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

I need to calculate the

**FT of a gaussian multiplied by a rectangle function**, i.e, FT(exp(-x^2)*rect(x/a)), and I can't 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.