Improvement of the simulation algorithm of flattened Gaussian beams passing through hard-aperture optics

XIAO Xi; ZHAO Guang-pu; L&#220; Bai-da

The simulation algorithm of flattened Gaussian beams(FGBs) passing through hard-aperture optics is improved,and an approximate closed-form propagation equation is derived,where a product of Fourier series and complex Gaussian function expansion is adapted to the window function of a hard-edged aperture. Numerical calculation results are compared with those obtained by direct integration of the Collins formula Wen's method.It is shown that the improved algorithm provides more accurate calculation results than the complex Gaussian function expansion,so long as the number of Fourier series is no less than 30.

1. Institute of Optoelectronic Information, Yibin University, Yibin 644007, China;

2. Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China

Received Date: 2003-11-21

Accepted Date: 2004-03-05

Available Online: 2005-01-25

Abstract: The simulation algorithm of flattened Gaussian beams(FGBs) passing through hard-aperture optics is improved,and an approximate closed-form propagation equation is derived,where a product of Fourier series and complex Gaussian function expansion is adapted to the window function of a hard-edged aperture. Numerical calculation results are compared with those obtained by direct integration of the Collins formula Wen's method.It is shown that the improved algorithm provides more accurate calculation results than the complex Gaussian function expansion,so long as the number of Fourier series is no less than 30.

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Reference (9)

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Improvement of the simulation algorithm of flattened Gaussian beams passing through hard-aperture optics

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