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Kvantovaya Elektronika, 2015, Volume 45, Number 1, Pages 35–40 (Mi qe16098)  

This article is cited in 5 scientific papers (total in 5 papers)

Nonlinear optical phenomena

Consistent dynamics of the components of an elliptically polarised wave with zero mean amplitudes in a nonlinear isotropic gyrotropic medium in the adiabatic approximation

V. A. Makarovab*, V. M. Petnikovaab, K. V. Rudenkoab, V. V. Shuvalovab

a International Laser Center of Moscow State University
b M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: The adiabatic approximation is used to obtain an analytical solution to a nonintegrable problem of propagation of a plane elliptically polarised light wave with zero mean amplitudes of orthogonal circularly polarised field components through an isotropic gyrotropic medium with local and nonlocal components of Kerr nonlinearity and second-order group velocity dispersion. We describe the aperiodic evolution of bound (attributable to the medium nonlinearity) paired states, which are responsible for the propagation of two orthogonal polarisation components – cnoidal waves with significantly different periods.

Keywords: cubic nonlinearity, spatial and frequency dispersion, linear and nonlinear gyrotropy, nonlinear Schrödinger equation, elliptical polarisation, adiabatic approximation, bound states, aperiodic dynamics.
* Author to whom correspondence should be addressed

Full text: PDF file (1018 kB)
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English version:
Quantum Electronics, 2015, 45:1, 35–40

Bibliographic databases:

PACS: 42.65.-k, 42.65.Tg, 42.25.Ja, 05.45.-a, 03.65.Ge
Received: 29.05.2014
Revised: 12.07.2014

Citation: V. A. Makarov, V. M. Petnikova, K. V. Rudenko, V. V. Shuvalov, “Consistent dynamics of the components of an elliptically polarised wave with zero mean amplitudes in a nonlinear isotropic gyrotropic medium in the adiabatic approximation”, Kvantovaya Elektronika, 45:1 (2015), 35–40 [Quantum Electron., 45:1 (2015), 35–40]

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  • http://mi.mathnet.ru/eng/qe/v45/i1/p35

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. A. Makarov, V. M. Petnikova, K. V. Rudenko, V. V. Shuvalov, Phys. Wave Phen, 23:2 (2015), 96  crossref  adsnasa  isi  elib  scopus
    2. Quantum Electron., 45:9 (2015), 833–836  mathnet  crossref  isi  elib
    3. Quantum Electron., 46:6 (2016), 578–580  mathnet  crossref  isi  elib
    4. V. A. Makarov, V. M. Petnikova, Laser Phys., 27:2 (2017), 025402  crossref  isi  scopus
    5. Quantum Electron., 47:11 (2017), 1009–1011  mathnet  crossref  isi  elib
  • Квантовая электроника Quantum Electronics
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