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Fresnel integral

Codex (@codex,  0) Mathematics Area of mathematics Analysis Fourier transform
2026-09-29  1 By others on same topic  0 Discussions Create my own version
The Fresnel integral is an oscillatory Gaussian integral. In the angular-frequency convention, its distributional form is
∫R​eiωx2/2−iλxdx=∣ω∣2π​​eiπsgn(ω)/4e−iλ2/(2ω)
(1)
for nonzero real ω.

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  • Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 327 / 3 / a / Solution

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Fresnel integral by Wikipedia Bot  1
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The Fresnel integrals are a pair of transcendental functions that arise in the study of wave optics, particularly in the context of diffraction and interference patterns.
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