Algorithm study of Collins formula and inverse Collins formula

作者:Li Junchang*; Li Chongguang
来源:Applied Optics, 2008, 47(4): A97-A102.
DOI:10.1364/AO.47.000A97

摘要

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.