Fundamental modes of a trapped probe photon in optical fibers conveying periodic pulse trains

Journal Article · Fri Jan 15 04:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.013821· OSTI ID:21388816

Dikande, Alain M ^[1]

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1. Laboratory of Research on Advanced Materials and Nonlinear Sciences (LaRAMaNS), Department of Physics, Faculty of Science, University of Buea, P.O. Box 63, Buea (Cameroon)

Wave modes induced by cross-phase reshaping of a probe photon in the guiding structure of a periodic train of temporal pulses are investigated theoretically with emphasis on exact solutions to the wave equation for the probe. The study has direct connection with recent advances on the issue of light control by light, the focus being on the trapping of a low-power probe by a temporal sequence of periodically matched high-power pulses of a dispersion-managed optical fiber. The problem is formulated in terms of the nonlinear optical fiber equation with averaged dispersion, coupled to a linear equation for the probe including a cross-phase modulation term. Shape-preserving modes which are robust against the dispersion are shown to be induced in the probe, they form a family of mutually orthogonal solitons the characteristic features of which are determined by the competition between the self-phase and cross-phase effects. Considering a specific context of this competition, the theory predicts two degenerate modes representing a train of bright signals and one mode which describes a train of dark signals. When the walk-off between the pump and probe is taken into consideration, these modes have finite-momentum envelopes and none of them is totally transparent vis-a-vis the optical pump soliton.

• OSTI ID: 21388816
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSONS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
EQUATIONS
EXACT SOLUTIONS
FIBERS
MASSLESS PARTICLES
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
OPTICAL FIBERS
PARTIAL DIFFERENTIAL EQUATIONS
PERIODICITY
PHOTONS
PROBES
PULSES
QUASI PARTICLES
RADIATIONS
SIGNALS
SOLITONS
TRAPPING
VARIATIONS
VISIBLE RADIATION
WAVE EQUATIONS