[C,S] = FresnelInt(x,[est])
Computes the value of the Fresnel sine and cosine integrals $C(x) - i S(x) = int_0^x dt e^{-ipi t^2/2}$. Will either approximate or use quadl to compute, depending on the flag est. est = TRUE (default) for approximation, FALSE for quadl integration. Note that both $C(x)$ and $S(x)$ have odd symmetry, therefore, one need only compute for positive values of x.
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Parameters |
Description |
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x [vector] |
Upper limit on integration |
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est [scalar] |
(Optional) Flag for computation method. TRUE for approximation and FALSE for quadl integration. |
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Return Values |
Description |
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C [vector] |
Fresnel cosine integral |
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S [vector] |
Fresnel sine integral |
K. D. Mielenz, "Computation of Fresnel Integrals. II," J. Res. Natl. Inst. Stand. Technol., vol. 4, pp. 589-590, 2000.
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