Adiabatic approximation and aperiodic dynamics of an elliptically polarized light wave in an isotropic gyrotropic nonlinear medium

被引：9
作者：
Makarov, V. A. [1 ]
Petnikova, V. M.
Shuvalov, V. V.
机构：
[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119991, Russia
来源：
LASER PHYSICS | 2014年 / 24卷 / 08期
基金：
俄罗斯基础研究基金会;
关键词：
cubic nonlinearity; spatial and frequency dispersion; linear and nonlinear gyrotropy; nonlinear Schrodinger equation; elliptical polarization; adiabatic approximation; bound states; aperiodic dynamics; SPATIAL-DISPERSION; PERIODIC-SOLUTIONS; CNOIDAL WAVES; EQUATIONS; COHERENT; SYSTEMS;
D O I：
10.1088/1054-660X/24/8/085405
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Adiabatic approximation is used to find an analytical solution to the nonintegrable propagation problem for a plane elliptically polarized light wave in an isotropic gyrotropic medium with local and nonlocal components of Kerr-type nonlinearity and second-order dispersion of group velocity. Aperiodic consistent dynamics of bound (attributable to the nonlinearity) states of two light field components with orthogonal circular polarizations is described. It is shown that this dynamics corresponds to generalization of consistent propagation of 'soliton-multisoliton complex' pairs to the cases with nonlinear interaction of periodic solutions-cnoidal waves.
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页数：8
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共 39 条
  • [21] Gradshtein I S., 2007, Tables of Integrals, Series, and Products, V7th edn
  • [22] Griffiths D. J., 1995, Introduction to quantum mechanics
  • [23] Grishanin B. A., 1987, Journal of Applied Spectroscopy, V47, P1278, DOI 10.1007/BF00660462
  • [24] Grishanin B. A., 1987, Journal of Applied Spectroscopy, V47, P1309, DOI 10.1007/BF00660468
  • [25] COMPUTER-SIMULATION STUDIES OF SOLIDS
    KLEIN, ML
    [J]. ANNUAL REVIEW OF PHYSICAL CHEMISTRY, 1985, 36 : 525 - 548
  • [26] Lakes R, 2009, VISCOELASTIC MATERIALS, P1, DOI 10.1017/CBO9780511626722
  • [27] Approximate solutions to a nonintegrable problem of propagation of elliptically polarised waves in an isotropic gyrotropic nonlinear medium, and periodic analogues of multisoliton complexes
    Makarov, V. A.
    Petnikova, V. M.
    Potravkin, N. N.
    Shuvalov, V. V.
    [J]. QUANTUM ELECTRONICS, 2014, 44 (02) : 130 - 134
  • [28] Particular periodic solutions to a nonintegrable system of Schrodinger nonlinear equations and their eigenvalues
    Makarov, V. A.
    Petnikova, V. M.
    Potravkin, N. N.
    Shuvalov, V. V.
    [J]. PHYSICS OF WAVE PHENOMENA, 2013, 21 (04) : 264 - 269
  • [29] Chirped elliptically polarized waves in an isotropic gyrotropic nonlinear medium: approximate solution to the propagation problem
    Makarov, V. A.
    Petnikova, V. M.
    Potravkin, N. N.
    Shuvalov, V. V.
    [J]. LASER PHYSICS LETTERS, 2013, 10 (07)
  • [30] Chirped elliptically polarised cnoidal waves and polarisation 'chaos' in an isotropic medium with spatial dispersion of cubic nonlinearity
    Makarov, V. A.
    Petnikova, V. M.
    Potravkin, N. N.
    Shuvalov, V. V.
    [J]. QUANTUM ELECTRONICS, 2012, 42 (12) : 1118 - 1122
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