Abstract
In the study of a diffraction field of a light wave passing through a symmetrical paraxial optical system, the Collins formula and its inverse are convenient for calculation. The algorithm study of the Collins formula demonstrates that both a single fast Fourier transform algorithm and a double fast Fourier transform algorithm can be used in diffraction calculation. But, whichever algorithm is adopted, only by meeting some specific conditions can the amplitude and phase distributions of a diffracted wave be calculated correctly. Based on the Nyquist sampling theorem, the indispensable conditions to calculate a diffraction field accurately are presented.
© 2007 Optical Society of America
Full Article | PDF ArticleMore Like This
Hong-Yi Fan and Hai-Liang Lu
Opt. Lett. 31(17) 2622-2624 (2006)
Victor Nascov and Petre Cătălin Logofătu
Appl. Opt. 48(22) 4310-4319 (2009)
Junchang Li, Chongguang Li, and Agnès Delmas
J. Opt. Soc. Am. A 24(7) 1950-1954 (2007)