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首页> 外文期刊>Optics Communications: A Journal Devoted to the Rapid Publication of Short Contributions in the Field of Optics and Interaction of Light with Matter >Analytical formulas for a circular or non-circular flat-topped beam propagating through an apertured paraxial optical system
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Analytical formulas for a circular or non-circular flat-topped beam propagating through an apertured paraxial optical system

机译：通过有孔近轴光学系统传播的圆形或非圆形平顶光束的解析公式

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摘要

Propagation of a flat-topped beam of circular or non-circular (rectangular or elliptical) symmetry through an apertured optical system is investigated. By expanding the hard aperture function as a finite sum of complex Gaussian functions, some approximate analytical propagation formulas are derived for a flat-topped beam of circular or non-circular (rectangular or elliptical) symmetry propagating through an apertured paraxial general astigmatic (GA) optical system or an apertured paraxial misaligned stigmatic (ST) optical system. The derived formulas are very fast to compute. The results obtained by using the approximate analytical expressions are in a good agreement with those obtained by direct numerical integration. The present analytical formulas provide a convenient and effective way for studying the propagation and transformation of a circular or non-circular flat-topped beam through an apertured general optical system. (c) 2006 Elsevier B.V. All rights reserved.
机译：研究了圆形或非圆形（矩形或椭圆形）对称的平顶光束通过光阑光学系统的传播。通过将硬孔径函数扩展为复高斯函数的有限和，可以得出一些近似的解析传播公式，用于通过孔径旁近轴一般散光（GA）传播的圆形或非圆形（矩形或椭圆形）对称的平顶光束光学系统或带孔近轴未对准像散（ST）光学系统。导出的公式计算起来非常快。通过使用近似分析表达式获得的结果与通过直接数值积分获得的结果非常一致。本分析公式为研究圆形或非圆形平顶光束通过带孔的通用光学系统的传播和转换提供了一种方便有效的方法。 （c）2006 Elsevier B.V.保留所有权利。

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