Adaptive Laguerre-Gaussian variant of the Gaussian beam expansion method

作者：Cagniot Emmanuel^*; Fromager Michael; Ait Ameur Kamel

来源：Journal of the Optical Society of America A-Optics Image Science and Vision, 2009, 26(11): 2373-2382.

DOI：10.1364/josaa.26.002373

A variant of the Gaussian beam expansion method consists in expanding the Bessel function 10 appearing in the Fresnel-Kirchhoff integral into a finite sum of complex Gaussian functions to derive an analytical expression for a Laguerre-Gaussian beam diffracted through a hard-edge aperture. However, the validity range of the approximation depends on the number of expansion coefficients that are obtained by optimization-computation directly. We propose another solution consisting in expanding J(0) onto a set of collimated Laguerre-Gaussian functions whose waist depends on their number and then, depending on its argument, predicting the suitable number of expansion functions to calculate the integral recursively.

• 出版日期2009-11
• 单位中国地震局