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Proceedings Paper

FFT calculation for Fresnel diffraction and energy conservation criterion of sampling quality
Author(s): Junchang Li; Zebin Fan; Yunchang Fu
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Paper Abstract

Since Fresnel diffraction integral can be expressed in convolution form, it can be calculated by Fast Fourier Transform (FFf) method. It is regarded that the FFT diffraction calculation can be achieved only in the region of Fresnel diffraction. But in fact, Kirchhoff's formula and Rayleigh-Sommerfeld's formulae can be also rewritten in convolution form so that the diffraction problems can be calculated very accurately with FFT method. In this paper we will deduce the convolutional form of the formulas of Kirchhoff's and Rayleigh-Sommerfeld's diffraction calculation. Finally, according to the principle of conversation of energy, we present a criterion to judge whether the numbers of sampling for FFT diffraction calculation is reasonable.

Paper Details

Date Published: 12 September 2002
PDF: 7 pages
Proc. SPIE 4915, Lasers in Material Processing and Manufacturing, (12 September 2002); doi: 10.1117/12.482883
Show Author Affiliations
Junchang Li, Kunming Univ. of Science and Technology (China)
Zebin Fan, Kunming Univ. of Science and Technology (China)
Yunchang Fu, Kunming Univ. of Science and Technology (China)

Published in SPIE Proceedings Vol. 4915:
Lasers in Material Processing and Manufacturing
ShuShen Deng; Tatsuo Okada; Klaus Behler; XingZong Wang, Editor(s)

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