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Propagation of a Laguerre–Gaussian beam through a slightly misaligned paraxial optical system

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Abstract

Based on the generalized diffraction integral formula for treating the propagation of a laser beam through a slightly misaligned optical system in a cylindrical coordinate system, an analytical formula for a Laguerre–Gaussian beam passing through such an optical system is derived. Furthermore, an approximate analytical formula is derived for a Laguerre–Gaussian beam passing through an apertured slightly misaligned optical system by expanding the hard aperture function as a finite sum of complex Gaussian functions. Some analytical formulas are also given for a flattened Gaussian beam by expanding its field as a superposition of a finite series of Laguerre–Gaussian beams.

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Authors and Affiliations

  1. Joint Research Center of Photonics of the Royal Institute of Technology and Zhejiang University, Zhejiang University, East Building No. 5, Zijingang Campus, Hangzhou, 310058, P.R. China

    Y. Cai & S. He

  2. Division of Electromagnetic Engineering, School of Electric Engineering, Royal Institute of Technology, 10044, Stockholm, Sweden

    Y. Cai & S. He

Authors
  1. Y. Cai
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  2. S. He
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Correspondence to Y. Cai.

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PACS

42.25.Bs; 41.85.Ew; 41.85.Ct

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Cai, Y., He, S. Propagation of a Laguerre–Gaussian beam through a slightly misaligned paraxial optical system. Appl. Phys. B 84, 493–500 (2006). https://doi.org/10.1007/s00340-006-2321-z

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  • DOI: https://doi.org/10.1007/s00340-006-2321-z

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