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Fresnel integral

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Fresnel integrals, S(x) and C(x), are two transcendental functions named after Augustin-Jean Fresnel that are used in optics. They arise in the description of near field Fresnel diffraction phenomena, and are defined through the following integral representations: The simultaneous parametric plot of S(x) and C(x) is the Cornu spiral, or clothoid. The Fresnel integrals admit the following power... Read enhanced Wikipedia article

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    Fresnel integral

    Fresnel integrals, S(x) and C(x), are two transcendental functions named after Augustin-Jean Fresnel that are used in optics. They arise in the description of near field Fresnel diffraction phenomena, and are defined through the following integral representations:
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    Fresnel diffraction

    In optics, Fresnel diffraction or near-field diffraction is a process of diffraction that occurs when a wave passes through an aperture and diffracts in the near field, causing any diffraction pattern observed to differ in size and shape, depending on the distance between the aperture and the projection. ... Fresnel integral
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    Fresnel (disambiguation)

    Fresnel can refer to physicist Augustin-Jean Fresnel, or to the following topics associated with him: ... Fresnel integral, functions related to Fresnel diffraction
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    Fresnel number

    The Fresnel number F, named after the physicist Augustin-Jean Fresnel, is a dimensionless number occurring in optics, in particular in diffraction theory. ... Fresnel integral
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    Augustin-Jean Fresnel

    Augustin-Jean Fresnel (pronounced /freɪˈnɛl/ fray-nell, French pronunciation: [ɔɡystɛ̃ ʒɑ̃ fʁɛnɛl]; 10 May 1788 – 14 July 1827), was a French physicist who contributed significantly to the establishment of the theory of wave optics. ... Fresnel integral
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    List of mathematical functions

    In mathematics, several functions or groups of functions are important enough to deserve their own names. ... Fresnel integral: related to the error function; used in optics.
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    Euler spiral

    An Euler spiral is a curve whose curvature changes linearly with its curve length. ... Main article: Fresnel integral
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    Fresnel zone

    ... and gravitational radiation), a Fresnel (pronounced /freɪˈnɛl/ fray-NELL) zone, named for physicist Augustin-Jean Fresnel, is one of a (theoretically infinite)... ... | Diversity scheme Fresnel integral | Fresnel number Fresnel diffraction Microwave Near...
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    Error function

    In mathematics, the error function (also called the Gauss error function) is a special function (non-elementary) of sigmoid shape which occurs in probability, statistics, materials science, and partial differential equations. ... It has a simple expression in terms of the Fresnel integral.
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    Trigonometric integral

    The spiral is also closely related to the Fresnel integrals. ... Relation with the exponential integral of imaginary argument

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Fresnel integral