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

Abstract

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-à-vis the optical pump soliton.

5 pages, 1 figure

References in corpus (3)

• Quantum Phase Gate Operation Based on Nonlinear Optics: Full Quantum Analysis
• Weak-Light Ultraslow Vector Optical Solitons via Electromagnetically Induced Transparency
• Periodic energy switching of bright solitons in mixed coupled nonlinear Schr{ö}dinger equations with linear self and cross coupling terms

Cited by in corpus (8)

• Elliptic solitons in optical fiber media
• Induced soliton ejection from a continuous-wave source waveguided by an optical pulse-soliton train
• Continuous-wave stability and multi-pulse structures in a universal Complex Ginzburg-Landau model for passively mode-locked lasers with saturable absorber
• Laser dynamics in nonlinear transparent media with electron plasma generation: effects of electron-hole radiative recombinations
• Using dark solitons from a Bose-Einstein condensate necklace to imprint soliton states in the spectral memory of a free boson gas
• Soliton crystals in optical Kerr microresonators in the presence of thermo-optic effects
• Soliton-mode proliferation induced by cross-phase modulation of harmonic waves by a dark-soliton crystal in optical media
• Exciton-polariton solitons in a semiconductor microwire of finite size