Fresnel integral
Special function defined by an integral / From Wikipedia, the free encyclopedia
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The Fresnel integrals S(x) and C(x) are two transcendental functions named after Augustin-Jean Fresnel that are used in optics and are closely related to the error function (erf). They arise in the description of near-field Fresnel diffraction phenomena and are defined through the following integral representations:
The parametric curve is the Euler spiral or clothoid, a curve whose curvature varies linearly with arclength.