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fresnels

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Definitions of fresnels in various dictionaries:

noun - French physicist who invented polarized light and invented the Fresnel lens (1788-1827)

noun - a unit of frequency

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Possible Dictionary Clues
Plural form of fresnel.
a flat lens made of a number of concentric rings, to reduce spherical aberration.
A flat lens made of a number of concentric rings, to reduce spherical aberration.

Fresnels might refer to
Fresnel integrals, S(x) and C(x), are two transcendental functions named after Augustin-Jean Fresnel that are used in optics, which 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 * * * ) * * * d * * t * , * * * * * * {\displaystyle S(x)=\int _{0}^{x}\sin(t^{2})\,\mathrm {d} t,\,\,\,} * * * * * C * ( * x * ) * = * * ∫ * * 0 * * * x * * * cos * ⁡ * ( * * t * * 2 * * * ) * * * d * * t * . * * * {\displaystyle C(x)=\int _{0}^{x}\cos(t^{2})\,\mathrm {d} t.} * The simultaneous parametric plot of S(x) and C(x) is the Euler spiral (also known as the Cornu spiral or clothoid). Recently, they have been used in the design of highways and other engineering projects.

Fresnels might refer to

Fresnel integrals, S(x) and C(x), are two transcendental functions named after Augustin-Jean Fresnel that are used in optics, which 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:*
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* {\displaystyle S(x)=\int _{0}^{x}\sin(t^{2})\,\mathrm {d} t,\,\,\,}
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* {\displaystyle C(x)=\int _{0}^{x}\cos(t^{2})\,\mathrm {d} t.}
* The simultaneous parametric plot of S(x) and C(x) is the Euler spiral (also known as the Cornu spiral or clothoid). Recently, they have been used in the design of highways and other engineering projects.

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