Propagation of optical pulses at an absorption line in the presence of a weak nonlinearity

Abstract

We examine the propagation of short pulses of light in a resonantly absorbing, weakly nonlinear medium within the limits of a model described by the nonlinear Schrödinger equation. The possibility of transforming pulses of various forms into a soliton signal due to the effects of self-interaction is studied. On the basis of the study of spectra for the associated linear problem, we investigate the break-up of an initial pulse into solitons. We have obtained solutions for two particular cases of the initial pulse.

Original language	English
Pages (from-to)	106-109
Number of pages	4
Journal	Soviet Physics Journal
Volume	32
Issue number	2
DOIs	https://doi.org/10.1007/BF00898669
Publication status	Published - Feb 1989

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1007/BF00898669

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title = "Propagation of optical pulses at an absorption line in the presence of a weak nonlinearity",

abstract = "We examine the propagation of short pulses of light in a resonantly absorbing, weakly nonlinear medium within the limits of a model described by the nonlinear Schr{\"o}dinger equation. The possibility of transforming pulses of various forms into a soliton signal due to the effects of self-interaction is studied. On the basis of the study of spectra for the associated linear problem, we investigate the break-up of an initial pulse into solitons. We have obtained solutions for two particular cases of the initial pulse.",

author = "Lugin, {E. V.} and Shapovalov, {A. V.}",

year = "1989",

month = feb,

doi = "10.1007/BF00898669",

language = "English",

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N2 - We examine the propagation of short pulses of light in a resonantly absorbing, weakly nonlinear medium within the limits of a model described by the nonlinear Schrödinger equation. The possibility of transforming pulses of various forms into a soliton signal due to the effects of self-interaction is studied. On the basis of the study of spectra for the associated linear problem, we investigate the break-up of an initial pulse into solitons. We have obtained solutions for two particular cases of the initial pulse.

AB - We examine the propagation of short pulses of light in a resonantly absorbing, weakly nonlinear medium within the limits of a model described by the nonlinear Schrödinger equation. The possibility of transforming pulses of various forms into a soliton signal due to the effects of self-interaction is studied. On the basis of the study of spectra for the associated linear problem, we investigate the break-up of an initial pulse into solitons. We have obtained solutions for two particular cases of the initial pulse.

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