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Reflection of a focused light beam in a kerr medium II. Numerical solution of the wave equation

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Abstract

The problem of studying the self-effect of a light beam in a nonlinear medium, and its scattering and reflection by the collapse region has been reduced to solving a system of high-order differential equations. This enabled us to use the Runge-Kutta method which improves considerably the accuracy in solving self-effect problems as compared with the conventional phase screen method. The self-effect and reflection of a light beam from the collapse region where the beam diameter decreases to the light wavelength λis investigated numerically. Calculations confirmed the main conclusions of the approximate solution of this problem which we obtained earlier in [1].

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Authors and Affiliations

  1. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Moscow

    V. V. Vorob'ev

Authors
  1. V. V. Vorob'ev
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 39, No. 8, pp. 1014–1025, August, 1996.

The author is grateful to A. Consortini, J. C. Dainty, S. M. Flatte, R. F. Sharma, A. S. Gurvich, V. P. Kandidov, and V. I. Talanov for their help in this work and V. I. Tatarsky for the discussion and presentation of the results of this investigation at the Symposium on Progress in Electromagnetics Research (PIERS-95) in Seattle, USA.

This work was supported in part by the International Foundation for Fundamental Research and by the Government of the Russian Federation (Project codes MR1000 and MR1300).

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Vorob'ev, V.V. Reflection of a focused light beam in a kerr medium II. Numerical solution of the wave equation. Radiophys Quantum Electron 39, 675–682 (1996). https://doi.org/10.1007/BF02120988

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  • DOI: https://doi.org/10.1007/BF02120988

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