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2005•Journal of Jiangxi Normal UniversityRequires access

Propagation of Hermite-Cosh-Gaussian Beams Passing Through an Aperture Optical System

Tao Xiang-yang

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Abstract

Based on the Collins integral formula, the propagation of Hermite-Cosh-Gaussian(HChG) beams passing through paraxial ABCD optical system with a hard-edge aperture is studied. With the rectangular function expanded into a finite sum of complex Gaussian functions, an approximate analytical propagation equation of HChG beams is derived. Numerical results are given and compared with those derived by the straightforward integral of the Collins formula, which shows the advantage of improving the calculation efficiency.

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What this paper is about

Based on the Collins integral formula, the propagation of Hermite-Cosh-Gaussian(HChG) beams passing through paraxial ABCD optical system with a hard-edge aperture is studied. With the rectangular function expanded into a finite sum of complex Gaussian functions, an approximate analytical propagation equation of HChG beams is derived. Numerical results are given and compared with those derived by the straightforward integral of the Collins formula, which shows the advantage of improving the calculation efficiency.

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Available abstract

Based on the Collins integral formula, the propagation of Hermite-Cosh-Gaussian(HChG) beams passing through paraxial ABCD optical system with a hard-edge aperture is studied. With the rectangular function expanded into a finite sum of complex Gaussian functions, an approximate analytical propagation equation of HChG beams is derived. Numerical results are given and compared with those derived by the straightforward integral of the Collins formula, which shows the advantage of improving the calculation efficiency.

Key concepts: Paraxial approximation, Hermite polynomials, Gaussian, Aperture (computer memory), Ray transfer matrix analysis, Enhanced Data Rates for GSM Evolution, Function (biology), Gaussian beam

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