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Structural features of the self-action dynamics of ultrashort electromagnetic pulses

  • Atoms, Molecules, Optics
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Abstract

Self-focusing dynamics of electromagnetic pulses of arbitrary duration is analyzed numerically and analytically. The wave-field evolution is considered by the wave equation in the reflectionless approximation under quite general assumptions about the dispersion of the medium. Methods for qualitative investigation of the self-focusing dynamics of quasimonochromatic radiation are generalized to the case of wave packets with the length of a few oscillation periods. In particular, sufficient conditions for collapse and many other integral relations are obtained by the momentum method. A self-similar-type transformation is used to show that new structural features are primarily associated with the nonlinear dispersion of the medium (with the dependence of the group velocity of a wave packet on its amplitude). Numerical analysis confirms that the self-focusing of radiation is preceded by an increase in the steepness of the longitudinal profile.

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, ul. Ul’yanova 46, Nizhni Novgorod, 603950, Russia

    A. A. Balakin, A. G. Litvak, V. A. Mironov & S. A. Skobelev

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  1. A. A. Balakin
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  2. A. G. Litvak
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  3. V. A. Mironov
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  4. S. A. Skobelev
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Original Russian Text © A.A. Balakin, A.G. Litvak, V.A. Mironov, S.A. Skobelev, 2007, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 131, No. 3, pp. 408–424.

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Balakin, A.A., Litvak, A.G., Mironov, V.A. et al. Structural features of the self-action dynamics of ultrashort electromagnetic pulses. J. Exp. Theor. Phys. 104, 363–378 (2007). https://doi.org/10.1134/S106377610703003X

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  • DOI: https://doi.org/10.1134/S106377610703003X

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