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

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.

Authors:
; ; ;  [1]
  1. Russian Academy of Sciences, Institute of Applied Physics (Russian Federation)
Publication Date:
OSTI Identifier:
21072519
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 104; Journal Issue: 3; Other Information: DOI: 10.1134/S106377610703003X; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; ELECTROMAGNETIC PULSES; FOCUSING; INTEGRALS; MATHEMATICAL EVOLUTION; NONLINEAR PROBLEMS; NUMERICAL ANALYSIS; OSCILLATIONS; TRANSFORMATIONS; WAVE EQUATIONS; WAVE PACKETS

Citation Formats

Balakin, A. A., E-mail: balakin@appl.sci-nnov.ru, Litvak, A. G., Mironov, V. A., and Skobelev, S. A. Structural features of the self-action dynamics of ultrashort electromagnetic pulses. United States: N. p., 2007. Web. doi:10.1134/S106377610703003X.
Balakin, A. A., E-mail: balakin@appl.sci-nnov.ru, Litvak, A. G., Mironov, V. A., & Skobelev, S. A. Structural features of the self-action dynamics of ultrashort electromagnetic pulses. United States. doi:10.1134/S106377610703003X.
Balakin, A. A., E-mail: balakin@appl.sci-nnov.ru, Litvak, A. G., Mironov, V. A., and Skobelev, S. A. Thu . "Structural features of the self-action dynamics of ultrashort electromagnetic pulses". United States. doi:10.1134/S106377610703003X.
@article{osti_21072519,
title = {Structural features of the self-action dynamics of ultrashort electromagnetic pulses},
author = {Balakin, A. A., E-mail: balakin@appl.sci-nnov.ru and Litvak, A. G. and Mironov, V. A. and Skobelev, S. A.},
abstractNote = {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.},
doi = {10.1134/S106377610703003X},
journal = {Journal of Experimental and Theoretical Physics},
number = 3,
volume = 104,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}