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

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

doi:10.1117/12.428323

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

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

Institute for Low Temp. Physics/Eng

Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding

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 language	English
Title of host publication	Eighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals
Editors	Gertruda V.Klimusheva, Andrey G.Iljin
Publisher	SPIE
Pages	259-266
Number of pages	8
Volume	4418
DOIs	https://doi.org/10.1117/12.428323
Publication status	Published - 30 May 2001
Event	Eighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals - Crimea, Alushta, Ukraine Duration: 2 Oct 2000 → 6 Oct 2000 https://www.spiedigitallibrary.org/conference-proceedings-of-spie/4418.toc

Publication series

Name	The International Society for Optical Engineering
Publisher	SPIE
ISSN (Print)	0277-786X

Conference

Conference	Eighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals
Country/Territory	Ukraine
City	Alushta
Period	2/10/00 → 6/10/00
Internet address	https://www.spiedigitallibrary.org/conference-proceedings-of-spie/4418.toc

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

Access to Document

10.1117/12.428323

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 or section in a book/report/conference proceeding › Chapter in a published conference proceeding

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

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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.",

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Y1 - 2001/5/30

N2 - 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.

AB - 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.

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

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