Qualitative analysis of gap and near-gap solitons in nonlinear modulated optical system

A. S. Kovalev, O. V. Usatenko, A. V. Gorbach

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We investigate the problem of nonlinear waves propagation in modulated nonlinear systems. The nonlinear optical medium with periodically changed in space refractive index represents the example of such modulated system. It is shown, that the dynamical equations for this system are similar to those for other modulated systems, e.g. diatomic elastic chain, two-sublattice ferromagnet and easy-plane antyferromagnet. The general type of dynamical equations for modulated systems with third-order nonlinearity is studied. The main result of our work is the qualitative analysis of all kinds of the small amplitude soliton excitations with frequencies lying in the gap and near the gap of the linear waves spectrum. We also study the evolution of the system phase portrait and bifurcation picture of the soliton solutions under changes of the medium parameters and nonlinear excitation frequency.

Original languageEnglish
Title of host publicationEighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals
EditorsGertruda V.Klimusheva, Andrey G.Iljin
PublisherSPIE
Pages259-266
Number of pages8
Volume4418
DOIs
Publication statusPublished - 30 May 2001
EventEighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals - Crimea, Alushta, Ukraine
Duration: 2 Oct 20006 Oct 2000
https://www.spiedigitallibrary.org/conference-proceedings-of-spie/4418.toc

Publication series

NameThe International Society for Optical Engineering
PublisherSPIE
ISSN (Print)0277-786X

Conference

ConferenceEighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals
CountryUkraine
CityAlushta
Period2/10/006/10/00
Internet address

Keywords

  • Gap solitons
  • Modulated systems
  • Nonlinear dynamics
  • Optical media
  • Phase portrait
  • Soliton

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

Kovalev, A. S., Usatenko, O. V., & Gorbach, A. V. (2001). Qualitative analysis of gap and near-gap solitons in nonlinear modulated optical system. In G. V.Klimusheva, & A. G.Iljin (Eds.), Eighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals (Vol. 4418, pp. 259-266). (The International Society for Optical Engineering). SPIE. https://doi.org/10.1117/12.428323

Qualitative analysis of gap and near-gap solitons in nonlinear modulated optical system. / Kovalev, A. S.; Usatenko, O. V.; Gorbach, A. V.

Eighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals. ed. / Gertruda V.Klimusheva; Andrey G.Iljin. Vol. 4418 SPIE, 2001. p. 259-266 (The International Society for Optical Engineering).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kovalev, AS, Usatenko, OV & Gorbach, AV 2001, Qualitative analysis of gap and near-gap solitons in nonlinear modulated optical system. in G V.Klimusheva & A G.Iljin (eds), Eighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals. vol. 4418, The International Society for Optical Engineering, SPIE, pp. 259-266, Eighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals, Alushta, Ukraine, 2/10/00. https://doi.org/10.1117/12.428323
Kovalev AS, Usatenko OV, Gorbach AV. Qualitative analysis of gap and near-gap solitons in nonlinear modulated optical system. In V.Klimusheva G, G.Iljin A, editors, Eighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals. Vol. 4418. SPIE. 2001. p. 259-266. (The International Society for Optical Engineering). https://doi.org/10.1117/12.428323
Kovalev, A. S. ; Usatenko, O. V. ; Gorbach, A. V. / Qualitative analysis of gap and near-gap solitons in nonlinear modulated optical system. Eighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals. editor / Gertruda V.Klimusheva ; Andrey G.Iljin. Vol. 4418 SPIE, 2001. pp. 259-266 (The International Society for Optical Engineering).
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