Induced soliton ejection from a continuous-wave source waveguided by an optical pulse-soliton train

摘要

It has been established for some time that high-power pump can trap a probebeam of lower intensity that is simultaneously propagating in a Kerr-typeoptical medium, inducing a focusing of the probe with the emergence of modesdisplaying solitonic properties. To understand the mechanism by which suchself-sustained modes are generated, and mainly the changes on probe spectruminduced by the cross-phase-modulation effect for an harmonic probe trapped by amultiplex of temporal pulses, a linear equation (for the probe) and a nonlinearSchr\"odinger equation (for the pump) both coupled by a cross-phase-modulationterm, are considered simultaneously. In general the set of coupled probe-pumpequations is not exactly tractable at any arbitrary value of the ratio of thecross-phase to the self-phase modulation strengths. However, for certain valuesof this ratio, the probe modulation wavector develops into $|n,l\textgreater${\it quantum states} involving $2n+1$ soliton-shaped eigenfunctions whichspectral properties can be characterized unambiguously. Solutions of the probeequation give evidence that the competition between the self-phase andcross-phase modulations leads to a broadband spectrum, with the possibility ofa quasi-continuum of soliton modes when the cross-phase-modulation coupling isstrong enough.