Generation of self-induced-transparency gap solitons by modulational instability in uniformly doped fiber Bragg gratings

Journal Article · Sat May 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.053802· OSTI ID:21408891

Kalithasan, B; Porsezian, K ^[1]; Senthilnathan, K ^[2]; Tchofo Dinda, P ^[3]

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1. Department of Physics, Pondicherry University, Pondicherry, 605 014 Pondicherry (India)
2. Department of Physics, National Institute of Technology, Rourkela, 769 008 Orissa (India)
3. Institut Carnot de Bourgogne, UMR 5209 CNRS-Universite de Bourgogne, Avenue A. Savary, Boite Postale 47 870, F-21078 Dijon Cedex (France)

We consider the continuous-wave (cw) propagation through a fiber Bragg grating that is uniformly doped with two-level resonant atoms. Wave propagation is governed by a system of nonlinear coupled-mode Maxwell-Bloch (NLCM-MB) equations. We identify modulational instability (MI) conditions required for the generation of ultrashort pulses in both anomalous and normal dispersion regimes. From a detailed linear stability analysis, we find that the atomic detuning frequency has a strong influence on the MI. That is, the atomic detuning frequency induces nonconventional MI sidebands at the photonic band gap (PBG) edges and near the PBG edges. Especially in the normal dispersion regime, MI occurs without any threshold condition, which is in contrast with that of conventional fiber Bragg gratings. We also perform a numerical analysis to solve the NLCM-MB equations. The numerical results of the prediction of both the optimum modulation wave number and the optimum gain agree well with that of the linear stability analysis. Another main result of the present work is the prediction of the existence of both bright and dark self-induced transparency gap solitons at the PBG edges.

• OSTI ID: 21408891
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DOPED MATERIALS
FIBERS
FORECASTING
GRATINGS
INSTABILITY
MATERIALS
MATHEMATICS
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
OPACITY
OPTICAL PROPERTIES
PHYSICAL PROPERTIES
QUASI PARTICLES
SOLITONS
STABILITY
WAVE PROPAGATION