Resonant optical pulses on a continuous-wave background in two-level active media

Sitai Li, Gino Biondini, Gregor Kovačič, Ildar R Gabitov

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We present exact N-soliton optical pulses riding on a continuous-wave (c.w.) beam that propagate through and interact with a two-level active optical medium. Their representation is derived via an appropriate generalization of the inverse scattering transform for the corresponding Maxwell-Bloch equations. We describe the single-soliton solutions in detail and classify them into several distinct families. In addition to the analogues of traveling-wave soliton pulses that arise in the absence of a c.w. beam, we obtain breather-like structures, periodic pulse-trains and rogue-wave-type (i.e., rational) pulses, whose existence is directly due to the presence of the c.w. beam. These soliton solutions are the analogues for Maxwell-Bloch systems of the four classical solution types of the focusing nonlinear Schrödinger equation with non-zero background, although the physical behavior of the corresponding solutions is quite different.

Original languageEnglish (US)
Article number20001
JournalEPL
Volume121
Issue number2
DOIs
StatePublished - Jan 1 2018

Fingerprint

continuous radiation
solitary waves
pulses
analogs
inverse scattering
traveling waves
nonlinear equations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Resonant optical pulses on a continuous-wave background in two-level active media. / Li, Sitai; Biondini, Gino; Kovačič, Gregor; Gabitov, Ildar R.

In: EPL, Vol. 121, No. 2, 20001, 01.01.2018.

Research output: Contribution to journalArticle

Li, Sitai ; Biondini, Gino ; Kovačič, Gregor ; Gabitov, Ildar R. / Resonant optical pulses on a continuous-wave background in two-level active media. In: EPL. 2018 ; Vol. 121, No. 2.
@article{6e9de2078bf3433988f0f59ef7ef51ef,
title = "Resonant optical pulses on a continuous-wave background in two-level active media",
abstract = "We present exact N-soliton optical pulses riding on a continuous-wave (c.w.) beam that propagate through and interact with a two-level active optical medium. Their representation is derived via an appropriate generalization of the inverse scattering transform for the corresponding Maxwell-Bloch equations. We describe the single-soliton solutions in detail and classify them into several distinct families. In addition to the analogues of traveling-wave soliton pulses that arise in the absence of a c.w. beam, we obtain breather-like structures, periodic pulse-trains and rogue-wave-type (i.e., rational) pulses, whose existence is directly due to the presence of the c.w. beam. These soliton solutions are the analogues for Maxwell-Bloch systems of the four classical solution types of the focusing nonlinear Schr{\"o}dinger equation with non-zero background, although the physical behavior of the corresponding solutions is quite different.",
author = "Sitai Li and Gino Biondini and Gregor Kovačič and Gabitov, {Ildar R}",
year = "2018",
month = "1",
day = "1",
doi = "10.1209/0295-5075/121/20001",
language = "English (US)",
volume = "121",
journal = "Europhysics Letters",
issn = "0295-5075",
publisher = "IOP Publishing Ltd.",
number = "2",

}

TY - JOUR

T1 - Resonant optical pulses on a continuous-wave background in two-level active media

AU - Li, Sitai

AU - Biondini, Gino

AU - Kovačič, Gregor

AU - Gabitov, Ildar R

PY - 2018/1/1

Y1 - 2018/1/1

N2 - We present exact N-soliton optical pulses riding on a continuous-wave (c.w.) beam that propagate through and interact with a two-level active optical medium. Their representation is derived via an appropriate generalization of the inverse scattering transform for the corresponding Maxwell-Bloch equations. We describe the single-soliton solutions in detail and classify them into several distinct families. In addition to the analogues of traveling-wave soliton pulses that arise in the absence of a c.w. beam, we obtain breather-like structures, periodic pulse-trains and rogue-wave-type (i.e., rational) pulses, whose existence is directly due to the presence of the c.w. beam. These soliton solutions are the analogues for Maxwell-Bloch systems of the four classical solution types of the focusing nonlinear Schrödinger equation with non-zero background, although the physical behavior of the corresponding solutions is quite different.

AB - We present exact N-soliton optical pulses riding on a continuous-wave (c.w.) beam that propagate through and interact with a two-level active optical medium. Their representation is derived via an appropriate generalization of the inverse scattering transform for the corresponding Maxwell-Bloch equations. We describe the single-soliton solutions in detail and classify them into several distinct families. In addition to the analogues of traveling-wave soliton pulses that arise in the absence of a c.w. beam, we obtain breather-like structures, periodic pulse-trains and rogue-wave-type (i.e., rational) pulses, whose existence is directly due to the presence of the c.w. beam. These soliton solutions are the analogues for Maxwell-Bloch systems of the four classical solution types of the focusing nonlinear Schrödinger equation with non-zero background, although the physical behavior of the corresponding solutions is quite different.

UR - http://www.scopus.com/inward/record.url?scp=85045616087&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85045616087&partnerID=8YFLogxK

U2 - 10.1209/0295-5075/121/20001

DO - 10.1209/0295-5075/121/20001

M3 - Article

VL - 121

JO - Europhysics Letters

JF - Europhysics Letters

SN - 0295-5075

IS - 2

M1 - 20001

ER -