Calculation of Fresnel Integrals.

Keyword

Fresnel Integrals,Auxiliary Function,Rational Approximation.

Reference

[1]：Milton Abramowitz and Irene A.Stegun:『Handbook of Mathematical Functions with Formulas,Graphs,and Mathematical Tables,pp.300,Issued June 1964 Tenth Printing,December 1872,with corrections.』
[2]：Klaus D.Mielenz:『Computation of Fresnel Integrals』,Journal of Research of the National Institute of Standards and Technology,Volume 102,Number 3,May-June 1997.

Remarks

・C(z)=∫[0-z]cos(π*t^2/2)･dt.
・S(z)=∫[0-z]sin(π*t^2/2)･dt.
・Because of Truncation of Series Expansion or use of Rational Approximation,Calculation results have a margin of error.

History

・2014/07/31：Layout change.
・2010/01/24：Upload.