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

Journal of the Optical Society of America B

Phase-controlled stable solitons in nonlinear fibers

K. V. Rajitha, Chinmayee Mishra, Tarak Nath Dey, Prasanta Kumar Panigrahi

Published Nov 30, 2018• 3 citations
Publisher

Abstract

Bright and grey coupled solitons with complex envelopes are obtained as exact solutions of the system describing doped optical nonlinear fibers. The solitons formed are found to be free of amplitude and phase instabilities during their evolution, leading to the realization of stable soliton propagation. The phase of the input solitons plays a crucial role in the formation of tanh–sech paired pulses. This soliton is not supported in a two-level atomic medium and is exclusive to the Λ system.

DOI
10.1364/josab.36.000001

Related papers

Coupled solitons in rare-earth doped two-mode fiber

Tarak Nath Dey, S. Dutta Gupta, G. S. Agarwal

We present first ever analytical solutions for shape-preserving pulses in a Kerr nonlinear two-mode fiber doped with 3-level ? atoms. The two modes are near-resonant with the two transitions of the atomic system. We show the existence of quasi-stable coupled bright-dark pairs if the group velocity dispersion has opposite signs at the two mode frequencies. We demonstrate the remarkable possibility allowed by the fiber dispersion for the existence of a new class of solutions for unequal coupling constants for the two modes. We present the conditions for existence and the analytical form of these solutions in presence of atomic detuning. We confirm numerically the analytical solutions for the spatio-temporal evolution of coupled solitary waves.

Optics Express•Oct 15, 2008•4 citations

Coherent soliton propagation through doped optical fibers: cloning, breakup, and soliton interactions

Solange Bessa Cavalcanti, E. J. S. Fonseca, Dilson P. Caetano +1 more

The simultaneous propagation of two optical pulses through a doped nonlinear dispersive medium modelled by a resonant three-level system was investigated numerically, within the framework of a pair of coupled extended nonlinear Schrödinger equations. These included the contribution of the dopant resonances whose dynamics is governed by Bloch equations. In this work, we review the interesting possibilities on the manipulation of fields such as cloning, breakup and soliton interactions, that the combination of coherent population trapping with nonlinear dispersive media offers.

Anais da Academia Brasileira de Ciências•Jun 1, 2001•0 citations

Coherent effects in the propagation of coupled bright solitons

Caroline C. D. Silva, D. P. Caetano

The coherent propagation of a pair of matched pulses in a doped two-mode nonlinear dispersive waveguide is investigated, where the dopant is modeled by a V-type three-level system. Relations involving the parameters of the pulses and the propagation medium that allow us to observe the formation of coupled bright solitons are derived. The analytical result is verified by numerically solving the propagation equations together with the evolution of the three-level system. The numerical results show a stable propagation of the pair of pulses corroborating the theoretical result.

Journal of the Optical Society of America B•Aug 19, 2016•1 citation

Nonlinear control of the propagation of optical pulses in doped optical fibers

A. V. Prokhorov, N. V. Korol’kova, Sergei M Arakelyan

Results of study of nonlinear processes occurring during the propagation of light pulses in optical fibers doped with atoms of rare-earth elements under conditions of atomic coherence and interference are presented. For a three-level Λ scheme of interaction, the linear (χ (1) ) and nonlinear (χ (3) ) susceptibilities of such a medium are calculated. It is shown that the coefficients of Kerr nonlinearity and nonlinear absorption can reach extremely large values and can be negative. The competition between linear and nonlinear processes in the Λ scheme allows one to obtain compensation regimes when the coefficients of dispersion or absorption of the optical fiber material vanish. The efficient control of the optical properties of such a system over wide limits proves to be possible owing to variations in the parameters of light pulses at the input of the medium. The necessary conditions for realizing regimes with “slow” light, as well as for self-compression of a probing pulse on ultimately small spatial scales in a doped optical fiber, were obtained.

Optics and Spectroscopy•Oct 1, 2005•2 citations

Hidden possibilities in controlling optical soliton in fiber guided doped resonant medium

Anjan Kundu

Fiber guided optical signal propagating in a Erbium doped nonlinear resonant medium is known to produce cleaner solitonic pulse, described by the self induced transparency (SIT) coupled to nonlinear Schrödinger equation. We discover two new possibilities hidden in its integrable structure, for amplification and control of the optical pulse. Using the variable soliton width permitted by the integrability of this model, the broadening pulse can be regulated by adjusting the initial population inversion of the dopant atoms. The effect can be enhanced by another innovative application of its constrained integrable hierarchy, proposing a system of multiple SIT media. These theoretical predictions are workable analytically in details, correcting a well known result.

AIP Advances•Jun 1, 2011•3 citations

Hidden possibilities in controlling optical soliton in fiber guided doped resonant medium

Anjan Kundu

Fiber guided optical signal propagating in a Erbium doped nonlinear resonant medium is known to produce cleaner solitonic pulse, described by the self induced transparency (SIT) coupled to nonlinear Schroedinger equation. We discover two new possibilities hidden in its integrable structure, for amplification and control of the optical pulse. Using the variable soliton width permitted by the integrability of this model, the broadening pulse can be regulated by adjusting the initial population inversion of the opant atoms. The effect can be enhanced by another innovative application of its constrained integrable hierarchy, proposing a system of multiple SIT media. These theoretical predictions are workable analytically in details, correcting the limitation of a well known result.

arXiv:1009.2641•Sep 14, 2010•0 citations
Bright and grey coupled solitons with complex envelopes are obtained as exact solutions of the system describing doped optical nonlinear fibers. The solitons formed are found to be free of amplitude and phase instabilities during their evolution, leading to the realization of stable soliton propagation. The phase of the input solitons plays a crucial role in the formation of tanh–sech paired pulses. This soliton is not supported in a two-level atomic medium and is exclusive to the Λ system.
We present first ever analytical solutions for shape-preserving pulses in a Kerr nonlinear two-mode fiber doped with 3-level ? atoms. The two modes are near-resonant with the two transitions of the atomic system. We show the existence of quasi-stable coupled bright-dark pairs if the group velocity dispersion has opposite signs at the two mode frequencies. We demonstrate the remarkable possibility allowed by the fiber dispersion for the existence of a new class of solutions for unequal coupling constants for the two modes. We present the conditions for existence and the analytical form of these solutions in presence of atomic detuning. We confirm numerically the analytical solutions for the spatio-temporal evolution of coupled solitary waves.
The simultaneous propagation of two optical pulses through a doped nonlinear dispersive medium modelled by a resonant three-level system was investigated numerically, within the framework of a pair of coupled extended nonlinear Schrödinger equations. These included the contribution of the dopant resonances whose dynamics is governed by Bloch equations. In this work, we review the interesting possibilities on the manipulation of fields such as cloning, breakup and soliton interactions, that the combination of coherent population trapping with nonlinear dispersive media offers.
The coherent propagation of a pair of matched pulses in a doped two-mode nonlinear dispersive waveguide is investigated, where the dopant is modeled by a V-type three-level system. Relations involving the parameters of the pulses and the propagation medium that allow us to observe the formation of coupled bright solitons are derived. The analytical result is verified by numerically solving the propagation equations together with the evolution of the three-level system. The numerical results show a stable propagation of the pair of pulses corroborating the theoretical result.
Results of study of nonlinear processes occurring during the propagation of light pulses in optical fibers doped with atoms of rare-earth elements under conditions of atomic coherence and interference are presented. For a three-level Λ scheme of interaction, the linear (χ (1) ) and nonlinear (χ (3) ) susceptibilities of such a medium are calculated. It is shown that the coefficients of Kerr nonlinearity and nonlinear absorption can reach extremely large values and can be negative. The competition between linear and nonlinear processes in the Λ scheme allows one to obtain compensation regimes when the coefficients of dispersion or absorption of the optical fiber material vanish. The efficient control of the optical properties of such a system over wide limits proves to be possible owing to variations in the parameters of light pulses at the input of the medium. The necessary conditions for realizing regimes with “slow” light, as well as for self-compression of a probing pulse on ultimately small spatial scales in a doped optical fiber, were obtained.
Fiber guided optical signal propagating in a Erbium doped nonlinear resonant medium is known to produce cleaner solitonic pulse, described by the self induced transparency (SIT) coupled to nonlinear Schrödinger equation. We discover two new possibilities hidden in its integrable structure, for amplification and control of the optical pulse. Using the variable soliton width permitted by the integrability of this model, the broadening pulse can be regulated by adjusting the initial population inversion of the dopant atoms. The effect can be enhanced by another innovative application of its constrained integrable hierarchy, proposing a system of multiple SIT media. These theoretical predictions are workable analytically in details, correcting a well known result.
Fiber guided optical signal propagating in a Erbium doped nonlinear resonant medium is known to produce cleaner solitonic pulse, described by the self induced transparency (SIT) coupled to nonlinear Schroedinger equation. We discover two new possibilities hidden in its integrable structure, for amplification and control of the optical pulse. Using the variable soliton width permitted by the integrability of this model, the broadening pulse can be regulated by adjusting the initial population inversion of the opant atoms. The effect can be enhanced by another innovative application of its constrained integrable hierarchy, proposing a system of multiple SIT media. These theoretical predictions are workable analytically in details, correcting the limitation of a well known result.