Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:0705.2833 · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Optical solitons in an anisotropic medium with arbitrary dipole moments

N. V. Ustinov

Published Jun 15, 2007• 4 citations
arXivHTMLPDF

Abstract

We find the Lax pair for a system of reduced Maxwell-Bloch equations that describes the propagation of two-component extremely short electromagnetic pulses through the medium containing two-level quantum particles with arbitrary dipole moments.
DOI
10.1117/12.751404

Related papers

Optical Solitons in an Anisotropic Medium with Arbitrary Dipole Moments

N. V. Ustinov

We find the Lax pair for a system of reduced Maxwell–Bloch equations that describes the propagation of twocomponent extremely short electromagnetic pulses through the medium containing two-level quantum particles with arbitrary dipole moments.

•Nov 21, 2012•5 citations

Comment on 'Evolution of the unidirectional electromagnetic pulses in an anisotropic two-level medium'

N. V. Ustinov

Recently, Zabolotskii [Phys. Rev. E 77, 036603 (2008)] presented the Lax pair for a version of the reduced Maxwell--Bloch equations. This version was derived under considering the unidirectional propagation of a two-component electromagnetic pulse through an anisotropic two-level medium. We demonstrate that his derivation contains essential omission, which led to the wrong version of the reduced Maxwell--Bloch equations. We also point out that the Lax pair for correct version of these equations had been known in the most general anisotropic case.

arXiv:0808.3963•Aug 28, 2008•0 citations

Optical solitary waves in three-level media: effects of different dipole moments

A. S. Rosenthal, Talal Ghannam

The exact electric polarization operator of the Maxwell-Bloch equations for a three-level Λ-type system is derived without assuming equality of the transition dipole moments. Numerical solution of the resulting solitary wave equations yields a richer spectrum than found earlier for identical dipole moments [Hioe and Grobe, Phys. Rev. Lett.73, 2559 (1994)]. The two components of the new solitary waves each have a zero-pulse area and take the form of modulated oscillations.

Journal of the Optical Society of America B•Mar 31, 2008•3 citations

Modulation of supercontinuum generation and formation of an attosecond pulse from a generalized two-level medium

Ke Zhao, Ji‐Cai Liu, Chuan‐Kui Wang +1 more

The propagation of ultrashort pulses in a generalized two- level system, consisting of permanent dipole moments, is simulated by solving the full Maxwell - Bloch equations. Special attention has be ...

Journal of Physics B Atomic Molecular and Optical Physics•Mar 26, 2007•2 citations

Two-level atoms and solitons

С. В. Сазонов

Integrable equations that produce a wide range of various solitons arising from interactions between two-level atoms with optical pulses are briefly reviewed.

Bulletin of the Russian Academy of Sciences Physics•Dec 1, 2013•0 citations

Amplification of extremely short pulses in optical media

Alexander A. Zabolotskii

The dynamics of pulses with durations comparable to the inverse transition frequency that propagate in an optical medium is studied in terms of two integrable systems of Maxwell-Bloch equations. The first model describes the field interaction with a nondegenerate medium with a permanent dipole moment and permanent external pumping. A general formula is derived for the N -soliton solution. Particular solutions are used as examples to investigate the effect of permanent dipole moment and pumping on the soliton dynamics. The second model describes the interaction between two-component electric-field pulses and a two-level degenerate medium with permanent upper-level pumping. For different initial magnetic-sublevel populations, soliton solutions are used as examples to show that pumping causes a change in polarization dynamics. A two-soliton solution is used to analyze the interaction of solitons in a two-level medium with external pumping.

Journal of Experimental and Theoretical Physics•May 1, 2002•8 citations
Recently, Zabolotskii [Phys. Rev. E 77, 036603 (2008)] presented the Lax pair for a version of the reduced Maxwell--Bloch equations. This version was derived under considering the unidirectional propagation of a two-component electromagnetic pulse through an anisotropic two-level medium. We demonstrate that his derivation contains essential omission, which led to the wrong version of the reduced Maxwell--Bloch equations. We also point out that the Lax pair for correct version of these equations had been known in the most general anisotropic case.
The dynamics of pulses with durations comparable to the inverse transition frequency that propagate in an optical medium is studied in terms of two integrable systems of Maxwell-Bloch equations. The first model describes the field interaction with a nondegenerate medium with a permanent dipole moment and permanent external pumping. A general formula is derived for the N -soliton solution. Particular solutions are used as examples to investigate the effect of permanent dipole moment and pumping on the soliton dynamics. The second model describes the interaction between two-component electric-field pulses and a two-level degenerate medium with permanent upper-level pumping. For different initial magnetic-sublevel populations, soliton solutions are used as examples to show that pumping causes a change in polarization dynamics. A two-soliton solution is used to analyze the interaction of solitons in a two-level medium with external pumping.