Fresnel integral

Common card · No. 340924

The Fresnel integrals S(x) and C(x), and their auxiliary functions F(x) and G(x) are 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: S ( x ) = ∫ 0 x sin ⁡ ( t 2 )...