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:patt-sol/9809010 · Physical Review Letters

Standing and Moving Gap Solitons in Resonantly Absorbing Gratings

Alexander E. Kozhekin, Gershon Kurizki, Boris A. Malomed

Published Oct 26, 1998• 79 citations
arXivHTMLPDF

Abstract

We present hitherto unknown forms of soliton dynamics in the forbidden frequency gap of a Bragg reflector, modified by periodic layers of near-resonant two-level systems (TLS). Remarkably, even extremely low TLS densities create an allowed band within the forbidden gap. This spectrum gives rise, for any Bragg reflectivity, to a vast family of stable gap solitons, both standing and moving, having a unique analytic form, an arbitrary pulse area, and inelastic collision properties. These findings suggest new possibilities of transmission control, noise filtering, or ``dynamical cavities'' (self-traps) for both weak and strong signal pulses.

DOI
10.1103/physrevlett.81.3647

Related papers

Dark and bright solitons in resonantly absorbing gratings

Tomáš Opatrný, Boris A. Malomed, Gershon Kurizki

We consider an optical medium consisting of a periodic refractive-index grating and a periodic set of thin layers of two-level systems resonantly interacting with the electromagnetic field. Recently, it has been shown that such a system gives rise to a vast variety of stable bright solitons. In this work, we demonstrate that the system has another very unusual property: stable bright solitons can coexist with stable continuous-wave (cw) states and stable dark solitons (DS's). Depending on the parameters' values, a DS frequency band coexists (without overlap) with one or two bright-soliton bands. Quiescent (standing) DS's are found in an analytical form, and moving ones are obtained numerically. Simulations show that a considerable part of the DS solutions are completely stable against arbitrary small perturbations. The fact that this system supports both stable bright and dark solitons for the same parameters values may find interesting applications in photonics.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics•Nov 1, 1999•44 citations

Effects of the near-dipole–dipole interaction on gap solitons in resonantly absorbing gratings

Jing Cheng, Jianying Zhou

Gap solitons can exist in a periodic refractive-index grating modified by periodic layers of near-resonant two-level systems. In this work, we include the effect of the density-dependent near-dipole-dipole (NDD) interaction in order to generalize this model. For certain values of the grating parameters, we find that the NDD interaction significantly modifies the frequency bands in which gap solitons can exist. The difference between the model with and without the NDD interaction is discussed. The stability of gap solitons is studied numerically.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics•Sep 18, 2002•12 citations

Moving and zero-velocity gap soliton in resonantly absorbing Bragg reflector of finite atomic widths

Shao Hui-Guo, Zhao Ji, Wu Jia-Wen +2 more

Selfinduced moving and zerovelocity(ZV) gap solitons were studied in a resonantly absorbing Bragg reflector of finite atomic width. Numerical results showed that the existence of moving gapsoliton is in general not affected by the finite atomic width but the existence of the ZV gapsoliton is highly affected by the widths of the atomic layers. Thus the trapping of the photonic energy occurs only in very thin atomic layers arranged with Bragg periodicity.

Acta Physica Sinica•Jan 1, 2005•4 citations

Coherent effects in Bragg reflectors: light localization and oscillating solitary waves near absorption resonances

Igor V. Mel’nikov, C. M. Bowden, Michael Scalora +1 more

Summary form only given. In recent years, there has been considerable interest in nonlinear and quantum optics of photonic bandgap structures. Some of this attention has centered on the properties of gap solitary waves, which are light pulses tuned at a Bragg frequency within a forbidden bandgap of the periodic structure. These solitary waves may occur in a periodically modulated medium with a Kerr-like nonlinearity, and in the resonance grating as a two-wave soliton of self-induced transparency. In the later case, the coupled-mode Maxwell-Bloch equations which describe the on-resonance coherent interaction of the intense field with a periodic structure of thin layers of two-level atoms in the ground state, lead to an integrable sine-Gordon equation. In our study, we concentrate on the nonintegrable case, that is, amplification in a resonant Bragg structure by means of a comprehensive analysis that includes and numerical modelling of Dicke superradiance and coherent amplification.

Quantum Electronics and Laser Science Conference•Jan 20, 2003•0 citations

Gap soliton dynamics in a nonuniform resonant structure

Igor V. Mel’nikov, James Stewart Aitchison, Boris I. Mantsyzov

A model for the propagation of coherent pulses along a one-dimensional, resonantly absorbing Bragg grating that includes localized inhomogeneous population inversion at its center is presented. The long-range coupling between the optical field and resonant atoms allows for controllable trapping of a gap soliton by the local inversion, thus opening new opportunities for control of signal transmission and localization of light.

Optics Letters•Feb 1, 2004•11 citations

Storage of ultrashort optical pulses in a resonantly absorbing Bragg reflector

Wei Xiao, Jie Zhou, John P. Prineas

A practical method of slowing and stopping an incident ultrashort light pulse with a resonantly absorbing Bragg reflector is demonstrated numerically. It is shown that an incident laser pulse with suitable pulse area evolves from a given pulse waveform into a stable, spatially-localized oscillating or standing gap soliton. We show that multiple gap solitons can be simultaneously spatially localized, resulting in efficient optical energy conversion and storage in the resonantly absorbing Bragg structure as atomically coherent states.

Optics Express•Dec 1, 2003•37 citations
We present hitherto unknown forms of soliton dynamics in the forbidden frequency gap of a Bragg reflector, modified by periodic layers of near-resonant two-level systems (TLS). Remarkably, even extremely low TLS densities create an allowed band within the forbidden gap. This spectrum gives rise, for any Bragg reflectivity, to a vast family of stable gap solitons, both standing and moving, having a unique analytic form, an arbitrary pulse area, and inelastic collision properties. These findings suggest new possibilities of transmission control, noise filtering, or ``dynamical cavities'' (self-traps) for both weak and strong signal pulses.
We consider an optical medium consisting of a periodic refractive-index grating and a periodic set of thin layers of two-level systems resonantly interacting with the electromagnetic field. Recently, it has been shown that such a system gives rise to a vast variety of stable bright solitons. In this work, we demonstrate that the system has another very unusual property: stable bright solitons can coexist with stable continuous-wave (cw) states and stable dark solitons (DS's). Depending on the parameters' values, a DS frequency band coexists (without overlap) with one or two bright-soliton bands. Quiescent (standing) DS's are found in an analytical form, and moving ones are obtained numerically. Simulations show that a considerable part of the DS solutions are completely stable against arbitrary small perturbations. The fact that this system supports both stable bright and dark solitons for the same parameters values may find interesting applications in photonics.
Gap solitons can exist in a periodic refractive-index grating modified by periodic layers of near-resonant two-level systems. In this work, we include the effect of the density-dependent near-dipole-dipole (NDD) interaction in order to generalize this model. For certain values of the grating parameters, we find that the NDD interaction significantly modifies the frequency bands in which gap solitons can exist. The difference between the model with and without the NDD interaction is discussed. The stability of gap solitons is studied numerically.
Summary form only given. In recent years, there has been considerable interest in nonlinear and quantum optics of photonic bandgap structures. Some of this attention has centered on the properties of gap solitary waves, which are light pulses tuned at a Bragg frequency within a forbidden bandgap of the periodic structure. These solitary waves may occur in a periodically modulated medium with a Kerr-like nonlinearity, and in the resonance grating as a two-wave soliton of self-induced transparency. In the later case, the coupled-mode Maxwell-Bloch equations which describe the on-resonance coherent interaction of the intense field with a periodic structure of thin layers of two-level atoms in the ground state, lead to an integrable sine-Gordon equation. In our study, we concentrate on the nonintegrable case, that is, amplification in a resonant Bragg structure by means of a comprehensive analysis that includes and numerical modelling of Dicke superradiance and coherent amplification.
A practical method of slowing and stopping an incident ultrashort light pulse with a resonantly absorbing Bragg reflector is demonstrated numerically. It is shown that an incident laser pulse with suitable pulse area evolves from a given pulse waveform into a stable, spatially-localized oscillating or standing gap soliton. We show that multiple gap solitons can be simultaneously spatially localized, resulting in efficient optical energy conversion and storage in the resonantly absorbing Bragg structure as atomically coherent states.