6533b833fe1ef96bd129c39c
RESEARCH PRODUCT
Impact of self-steepening on incoherent dispersive spectral shocks and collapse-like spectral singularities
Stefano TrilloAntonio PicozziJosselin GarnierGang Xusubject
Shock wavespecklesIncoherent scatterDegree of coherencespeckles steepening shock waves01 natural sciencesNO010305 fluids & plasmasSingularity[ MATH.MATH-AP ] Mathematics [math]/Analysis of PDEs [math.AP][NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Quantum mechanicsNonlinear medium0103 physical sciences[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP][ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]010306 general physicsPhysicsstatistical opticsshock wavesAtomic and Molecular Physics and Optics[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]Nonlinear systemQuantum electrodynamicsGravitational singularitysteepening[ MATH.MATH-PR ] Mathematics [math]/Probability [math.PR]Coherence (physics)description
International audience; Incoherent dispersive shock waves and collapselike singularities have been recently predicted to occur in the spectral evolution of an incoherent optical wave that propagates in a noninstantaneous nonlinear medium. Here we extend this work by considering the generalized nonlinear Schrödinger equation. We show that self-steepening significantly affects these incoherent spectral singularities: (i) It leads to a delay in the development of incoherent dispersive shocks, and (ii) it arrests the incoherent collapse singularity. Furthermore, we show that the spectral collapselike behavior can be exploited to achieve a significant enhancement (by two orders of magnitudes) of the degree of coherence of the optical wave.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-07-22 |