FresnelInt

MATLAB

[C,S] = FresnelInt(x,[est])

Description

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.

Parameters

Parameters	Description
x [vector]	Upper limit on integration
est [scalar]	(Optional) Flag for computation method. TRUE for approximation and FALSE for quadl integration.

Return Values

Return Values	Description
C [vector]	Fresnel cosine integral
S [vector]	Fresnel sine integral

References

K. D. Mielenz, "Computation of Fresnel Integrals. II," J. Res. Natl. Inst. Stand. Technol., vol. 4, pp. 589-590, 2000.