Approximated calculation of Fresnel function and Collins integral

Junchang Li; LiXia Yuan

doi:10.1117/12.482861

12 September 2002 Approximated calculation of Fresnel function and Collins integral

Junchang Li, LiXia Yuan

Proceedings Volume 4915, Lasers in Material Processing and Manufacturing; (2002) https://doi.org/10.1117/12.482861
Event: Photonics Asia, 2002, Shanghai, China

Abstract

In this paper, the approximated expression of Fresnel Function is given, and that the Collins Integral for diffraction calculation can be expressed by Fresnel Function with sufficient accuracy is approved. Using this methods, in many cases the diffraction calculation could be simplified notably. Finally, the comparison of a diffraction example among the ordinary calculation, simplified calculation and experiment measurement is accomplished.

Citation Download Citation

Junchang Li and LiXia Yuan "Approximated calculation of Fresnel function and Collins integral", Proc. SPIE 4915, Lasers in Material Processing and Manufacturing, (12 September 2002); https://doi.org/10.1117/12.482861

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