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Updated: Aug 1, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Propagation of partially coherent twisted anisotropic Gaussian Schell-model beams through an apertured astigmatic
1Joint Research Center of Photonics of the Royal Institute of Technology and Zhejiang University, East Building No. 5, Zijingang Campus, Zhejiang University, Hangzhou, 310058, China. yangjian_cai@yahoo.com.cn
Abstract:
By expanding the hard-aperture function into a finite sum of complex Gaussian functions, we derived an approximate analytical formula for a partially coherent twisted anisotropic Gaussian Schell-model (AGSM) beam propagating through an apertured paraxial general astigmatic (GA) optical system by use of a tensor method. The results obtained by using the approximate analytical formula are in good agreement with those obtained by using the numerical integral calculation. Our formulas avoid time-consuming numerical integration and provide a convenient and effective way for studying the propagation and transformation of a partially coherent twisted AGSM beam through an apertured paraxial GA optical system.
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