Parametric Solitons in Passive Structures with Feedback

Trillo, Stefano; Haelterman, Marc

doi:10.1007/978-3-540-44582-1_14

Cited by 32 publications

(39 citation statements)

References 94 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We consider a doubly resonant OPO 35,36 as a driven-dissipative system in a non-equilibrium steady state. The OPO driving is accomplished by the synchronous pulsed pump centered around the frequency 2ω 0 , while the resonant signal and the idler constitute the longitudinal modes of the resonator centered around the half-harmonic frequency (ω 0 ).…”

Section: Resultsmentioning

confidence: 99%

Spectral phase transitions in optical parametric oscillators

et al. 2021

View full text Add to dashboard Cite

Driven nonlinear resonators provide a fertile ground for phenomena related to phase transitions far from equilibrium, which can open opportunities unattainable in their linear counterparts. Here, we show that optical parametric oscillators (OPOs) can undergo second-order phase transitions in the spectral domain between degenerate and non-degenerate regimes. This abrupt change in the spectral response follows a square-root dependence around the critical point, exhibiting high sensitivity to parameter variation akin to systems around an exceptional point. We experimentally demonstrate such a phase transition in a quadratic OPO. We show that the divergent susceptibility of the critical point is accompanied by spontaneous symmetry breaking and distinct phase noise properties in the two regimes, indicating the importance of a beyond nonlinear bifurcation interpretation. We also predict the occurrence of first-order spectral phase transitions in coupled OPOs. Our results on non-equilibrium spectral behaviors can be utilized for enhanced sensing, advanced computing, and quantum information processing.

show abstract

Section: Resultsmentioning

confidence: 99%

Spectral phase transitions in optical parametric oscillators

et al. 2021

View full text Add to dashboard Cite

show abstract

“…In comparison to the scalar optical solitons, mutually self-trap vector optical solitons (temporal or spatial) have emerged due to the interplay between dispersive (temporal) or diffractive (spatial) effects and nonlinear effects [39,40]. For example, researchers have considered the Manakov system [34,[41][42][43][44][45][46][47][48]]…”

Section: Introductionmentioning

confidence: 99%

Vector solitons for the (2 + 1)‐dimensional coupled nonlinear Schrödinger system in the Kerr nonlinear optical fiber

Sun

Tian

et al. 2021

Z Angew Math Mech

View full text Add to dashboard Cite

Investigated in this paper is the (2 + 1)-dimensional coupled nonlinear Schrödinger system, which describes the propagation of the optical soliton through the Kerr nonlinear fiber in which each component diffracts in two transverse dimensions. By virtue of the Kadomtsev-Petviashvili hierarchy reduction, we obtain the bright, dark and mixed vector soliton solutions in terms of the Gramian. We investigate the vector solitons graphically: (1) Bright-dark one solitons with one of the components being gray or black are shown. Bouncing, beating, oscillating and breathing effects which appear during the interactions between the bright-dark two solitons are discussed, and those interactions are shape-preserving; (2) Degenerate and non-degenerate dark-dark one solitons are presented. Interaction of the dark-dark two solitons is discussed and the two solitons keep their amplitudes and velocities invariant except for some phase shifts during the interaction; (3) Bound-state and complexes of the bright-bright solitons are presented.

show abstract

“…The optical soliton propagation and their interaction properties in optical fibers have become an interesting research area because of their potential applications in the optical communication systems, such as controlling optical beam diffraction and designing all-optical devices for light routing, switching, and storage [1,2]. In a linear medium, a localized wave packet is completely unaffected when propagating through another [3].…”

Section: Introductionmentioning

confidence: 99%

Soliton interactions in a generalized inhomogeneous coupled Hirota–Maxwell–Bloch system

Xue

Tian

et al. 2011

Nonlinear Dyn

View full text Add to dashboard Cite

In this paper, via the Darboux transformation, with symbolic computation, the bright oneand two-soliton solutions for a generalized inhomogeneous coupled Hirota-Maxwell-Bloch system are obtained in an inhomogeneous nonlinear dispersive fiber doped with two-level resonant atoms. The study on the bright soliton collision shows that in this system, there exists the complete or partial energy exchange. Through the asymptotic analysis, some physical quantities are discussed. Energy transfer in the two-soliton collision might have potential applications in the study of pulse amplification. In addition, the conservation laws for the system are also constructed.

show abstract

Parametric Solitons in Passive Structures with Feedback

Cited by 32 publications

References 94 publications

Spectral phase transitions in optical parametric oscillators

Spectral phase transitions in optical parametric oscillators

Vector solitons for the (2 + 1)‐dimensional coupled nonlinear Schrödinger system in the Kerr nonlinear optical fiber

Soliton interactions in a generalized inhomogeneous coupled Hirota–Maxwell–Bloch system

Contact Info

Product

Resources

About