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Numerical experiment on self-focusing of electromagnetic waves in a nonlinear medium

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

Results are presented of a numerical experiment on the propagation of broad axially symmetric wave beams in a weakly nonlinear medium. Cases of cubical nonlinearity and nonlinearity with saturation are examined.

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  1. V. N. Gol'dberg, V. I. Talanov, and R. E. Erm, “Self-focusing of axially symmetric electromagnetic beams,” Izvestiya VUZ., Radiofizika, vol. 10, no. 5, pp. 674–685, 1967.

    Google Scholar 

  2. R. V. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Letter, vol. 13, no. 15, pp. 479–482, 1964.

    Google Scholar 

  3. A. L. Dyshno, V. N. Lugovoi, and A. M. Prokhorov, “Self-focusing of intense light beams,” ZhETF, vol. 6, no. 5, 1967.

  4. E. S. Birger and N. B. Lyalikova, “On finding solutions with a given condition at infinity for certain systems of ordinary differential equations,” Zh. vychislit. matem. i matem. fiz., vol. 5, no. 6, 1965.

  5. R. D. Richtmyer, Difference Methods for Initial-Value Problems [Russian translation], Izd-vo inostr. lit., Moscow, 1960.

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, Vol. 10, No. 6, pp. 20–22, November–December, 1969.

The authors wish to thank V. I. Karpman for valuable discussions and his interest in this study.

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Sobolev, V.V., Synakh, V.S. Numerical experiment on self-focusing of electromagnetic waves in a nonlinear medium. J Appl Mech Tech Phys 10, 858–860 (1969). https://doi.org/10.1007/BF00907918

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  • DOI: https://doi.org/10.1007/BF00907918

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