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New structures in paraxial Gaussian beams

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Abstract

Within the classical parabolic equation approach, two new families of localized paraxial beams are constructed in the entire space. The solutions are different from the well-known solutions of the Hermite-Gauss or Laguerre-Gauss types. The approach is based on the separation of variables and is quite elementary.

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Authors and Affiliations

  1. St. Petersburg Department, Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, 191023, Russia

    A. P. Kiselev

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  1. A. P. Kiselev
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Correspondence to A. P. Kiselev.

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Translated from Optika i Spektroskopiya, Vol. 96, No. 4, 2004, pp. 533–535.

Original Russian Text Copyright © 2004 by Kiselev.

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Kiselev, A.P. New structures in paraxial Gaussian beams. Opt. Spectrosc. 96, 479–481 (2004). https://doi.org/10.1134/1.1719131

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  • DOI: https://doi.org/10.1134/1.1719131

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