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Propagation of a general-type beam through apertured aligned and misaligned ABCD optical systems

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Abstract

By expanding the hard-aperture function into a finite sum of complex Gaussian functions, analytical formulae for the electric field of a general-type beam propagating through apertured aligned and misaligned ABCD optical systems are derived using the generalized Collins formulae, which provide a convenient way of studying the propagation of a variety of laser beams, such as Gaussian, cos-Gaussian, cosh-Gaussian, sine-Gaussian, sinh-Gaussian, flat-topped, Hermite-cosh-Gaussian, Hermite-sine-Gaussian, higher-order annular Gaussian, Hermite-sinh-Gaussian and Hermite-cos-Gaussian beams, through such optical systems. As numerical examples, the propagation properties of a cos-Gaussian beam through an apertured aligned or misaligned thin lens are studied.

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Authors and Affiliations

  1. School of Physical Science and Technology, Soochow University, Suzhou, 215006, China

    C. Zhao & Y. Cai

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  1. C. Zhao
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  2. Y. Cai
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Correspondence to Y. Cai.

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Zhao, C., Cai, Y. Propagation of a general-type beam through apertured aligned and misaligned ABCD optical systems. Appl. Phys. B 101, 891–900 (2010). https://doi.org/10.1007/s00340-010-4089-4

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  • DOI: https://doi.org/10.1007/s00340-010-4089-4

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