Incoherent Solitons in Instantaneous Response Nonlinear Media

Picozzi, Antonio; Haelterman, Marc; Pitois, Stéphane; Millot, Guy

doi:10.1103/physrevlett.92.143906

Cited by 45 publications

(16 citation statements)

References 24 publications

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“…Here, the nonlinearity responds to the time averaged spatial envelope of the beam cross section, not to the localized instantaneous speckle regions in the beam. Very recently, incoherent solitons have also been observed in media with an instantaneous nonlinearity, or a nonlinear response time that is much shorter than the correlation time of the incoherent waves [11]. Here, domain-wall type incoherent solitons were formed from two copropagating incoherent light waves in an optical fiber system.…”

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confidence: 97%

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Random Generation of Coherent Solitary Waves from Incoherent Waves

Krivošı́k

Kalinikos

et al. 2006

Phys. Rev. Lett.

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confidence: 97%

“…For many years solitary waves generally have been taken as coherent entities. In recent years, however, there has been increased interest in the formation of incoherent solitary waves from incoherent waves [5][6][7][8][9][10][11][12]. The concept of incoherent solitary waves was suggested as early as in 1977 [5].…”

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confidence: 98%

Random Generation of Coherent Solitary Waves from Incoherent Waves

Krivošı́k

Kalinikos

et al. 2006

Phys. Rev. Lett.

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“…The dispersion relation providing the resonance with linear waves is k(ω)=βω 2 /2.T obestable(i.e.,nonradiating),theDSspectrumhas to be localized within a frequency window AEΔ: k(AEΔ)=q,w h e r eΔ ¼ ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi 2γP 0 =β p ( Figure 3). 2 Formation of these "domain walls" [24][25][26] due to phase effects in a dissipative system results in natural frequency cut-off, which is essential for inherent analogy between DS and a turbulent entity.…”

Section: Analogy Between Ds and Turbulencementioning

confidence: 99%

Self-Organization, Coherence and Turbulence in Laser Optics

Калашников¹,

Sorokin²

2018

Complexity in Biological and Physical Systems - Bifurcations, Solitons and Fractals

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In the last decades, rapid progress in modern nonlinear science was marked by the development of the concept of dissipative soliton (DS). This concept is highly useful in many different fields of science ranging from field theory, optics, and condensed matter physics to biology, medicine, and even sociology. This chapter aims to present a DS appearance from random fluctuations, development, and growth, the formation of the nontrivial internal structure of mature DS and its breakup, in other words, a full life cycle of DS as a self-organized object. Our extensive numerical simulations of the generalized cubicquintic nonlinear Ginzburg-Landau equation, which models, in particular, dynamics of mode-locked fiber lasers, demonstrate a close analogy between the properties of DS and the general properties of turbulent and chaotic systems. In particular, we show a disintegration of DS into a noncoherent (or partially coherent) multisoliton complex. Thus, a DS can be interpreted as a complex of nonlinearly coupled coherent "internal modes" that allows developing the kinetic and thermodynamic theory of the nonequilibrious dissipative phenomena. Also, we demonstrate an improvement of DS integrity and, as a result, its disintegration suppression due to noninstantaneous nonlinearity caused by the stimulated Raman scattering. This effect leads to an appearance of a new coherent structure, namely, a dissipative Raman soliton.

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“… <<t c ) were discovered [2][3][4]. First, "incoherent parametric solitons" in which some of the waves are incoherent were predicted in quadratic media [2] and demonstrated in the form of domain wall solitons [3]. Recently, spatially incoherent solitons in instantaneous and highly nonlocal nonlinear media were predicted [4].…”

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confidence: 99%

Incoherent solitons in fast and local nonlinear media

Cohen

Kapteyn

Murnane

et al. 2007

2007 Conference on Lasers and Electro-Optics (CLEO)

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We predict randomly fragmented coherent breathers and partially-coherent spatial solitons in instantaneous and local (e.g. Kerr) nonlinear media. 2007 Optical Society of America OCIS codes: (190.5530) Pulse propagation and solitons (190.3270) Kerr effect For many years, solitons were considered to be inherently coherent and ordered (not fragmented) entities. Hence, the observation of spatially-incoherent optical solitons in photorefractive crystals has opened up a new direction in soliton science [1]. Such spatially incoherent solitons -self-trapped entities whose structure varies randomly in time -form when diffraction is robustly balanced by nonlinear self-focusing. This balance results in the stationary propagation of the beam's envelope (i.e., its time averaged intensity). In their original concept, incoherent solitons were studied with a slow nonlinearity having a response time, τ, much longer than the characteristic beam fluctuation time t c (τ>>t c ). There, the nonlinearity time-averages over the stochastic multi-mode character of the instantaneous speckled field, and hence it only responses to the envelope of the beam. In fact, it was believed that a slow response is a prerequisite for the formation of incoherent solitons. Nonetheless, incoherent solitons supported by fast nonlinearities (i.e.  <

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Incoherent Solitons in Instantaneous Response Nonlinear Media

Cited by 45 publications

References 24 publications

Random Generation of Coherent Solitary Waves from Incoherent Waves

Random Generation of Coherent Solitary Waves from Incoherent Waves

Self-Organization, Coherence and Turbulence in Laser Optics

Incoherent solitons in fast and local nonlinear media

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