Photon soliton and fine structure due to nonlinear Compton scattering

Montes, Carlos

doi:10.1103/physreva.20.1081

Cited by 25 publications

(40 citation statements)

References 17 publications

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“…An analytical expression of SIS solution with velocity V 0 was obtained in [24] through a generalization of the particular solution originally derived in [35] in the limit n 0 ∕n m ≪ 1, where n m and n 0 , respectively, denote the soliton peak and the level of the background noise. Note that so far this SIS solution has not been compared with numerical simulations.…”

mentioning

confidence: 99%

Generalized description of spectral incoherent solitons

Garnier²,

Conforti³

et al. 2014

Opt. Lett.

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Spectral incoherent solitons (SIS) refer to an incoherent solitonic structure that only can be identified in the frequency domain and which is sustained by noninstantaneous Raman-like nonlinearities. We provide a generalized formulation of SIS by considering the generalized nonlinear Schrödinger equation. We show that nonlinear dispersive effects (e.g., self-steepening) dramatically affect the structure of SIS, in particular by significantly decelerating their spectral velocity in frequency space. The wave turbulence description of the problem reveals an underlying self-organization process: the soliton trajectory in frequency space is selected in such a way that it allows the system to self-organize into a stationary SIS state.

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confidence: 99%

Generalized description of spectral incoherent solitons

Garnier²,

Conforti³

et al. 2014

Opt. Lett.

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“…(4) Thus, neglecting the small 34 spontaneous emission term, i.e. well above threshold, the integrodif ferential ion-Compton equation governing the stimulated scattering of photons from wavenumber k 1 (and angular frequency cj'= 27TV ; ) to wave number k(cj=2nv) is given by 20,27,28 dt (i-cos Probability Wion is maximum for counterstreaming interaction (a = R), i.e. an incident photon beam has maximum probability to be backscattered.…”

Section: Nonlinear Ion-compton Equationsmentioning

confidence: 99%

“…well above threshold, the integrodifferential ion -Compton equation governing the stimulated scattering of photons from wavenumber k' (and angular frequency w'= 27-t V') to wave number --1((.0=271-v) is given by 20,27,28 aN ( v, S1 , x, t) …”

Section: Introductionmentioning

confidence: 99%

<title>Stimulated Ion-Compton Modulation Of A Laser Beam</title>

Montes¹,

Peyraud²

1981

SPIE Proceedings

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Interaction of strong pulse laser radiation with underdense plasma may show strong reflectivity sometimes modulated with time. Stimulated ion -Compton or Brillouin (in the strong ion damping limit) backscattering explains the red -shifted backscattered spectrum observed. We show that the general nonlinear and spectral dependent problem may also explain the saturation of the reflectivity at finite values by pump depletion, as well as time modulation. Space, time and frequency evolutions of the incident and backscattered radiation spectra are governed by nonlinear integrodifferential equations. Numerical computation for a finite homogeneous or inhomogeneous plasma slab are performed and compared to some analytical approaches.

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“…Indeed, the optical field exhibits a stationary statistics (i.e., the field exhibits random fluctuations that are statistically stationary in time), so that the soliton behavior only manifests in the spectral domain. A WT analysis of the system has revealed that the kinetic equation that describes spectral ISs has a structure analogous to that considered in plasma physics to study weak Langmuir turbulence [64][65][66][67][68]. For this reason, we will term this kinetic equation "weak Langmuir turbulence" equation.…”

Section: Introductionmentioning

confidence: 99%

Toward a wave turbulence formulation of statistical nonlinear optics

Garnier

Lisak²,

Picozzi³

2012

J. Opt. Soc. Am. B

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During this last decade, several remarkable phenomena inherent to the nonlinear propagation of incoherent optical waves have been reported in the literature. This article is aimed at providing a generalized wave turbulence kinetic formulation of random nonlinear waves governed by the nonlinear Schrödinger equation in the presence of a nonlocal or a noninstantaneous nonlinear response function. Depending on the amount of nonlocal (noninstantaneous) nonlinear interaction and the amount of inhomogeneous (nonstationary) statistics of the incoherent wave, different types of kinetic equations are obtained. In the spatial domain, when the incoherent wave exhibits fluctuations that are statistically homogeneous in space, the relevant kinetic equation is the wave turbulence (Hasselmann) kinetic equation. It describes, in particular, the process of optical wave thermalization to thermodynamic equilibrium, which slows down significantly as the interaction becomes highly nonlocal. When the incoherent wave is characterized by inhomogeneous statistical fluctuations, different forms of the Vlasov equation are derived, which depend on the amount of nonlocality in the system. This Vlasov approach describes, in particular, the processes of incoherent modulational instability and the formation of localized incoherent soliton structures. In the temporal domain, the noninstantaneous nonlinear response function is constrained by the causality condition. It turns out that the relevant kinetic equation has a form analogous to the weak Langmuir turbulence equation, which describes, in particular, the formation of nonlocalized spectral incoherent solitons. In the regime of a highly noninstantaneous nonlinear response and a stationary statistics of the incoherent wave, the weak Langmuir turbulence equation reduces to the Korteweg-de Vries equation. Conversely, in the regime of a highly noninstantaneous response in the presence of a nonstationary statistics, we derive a long-range Vlasov-like kinetic equation in the temporal domain, whose self-consistent potential is constrained by the causality condition. From a broader perspective, this work indicates that the wave turbulence theory may constitute the appropriate theoretical framework to formulate statistical nonlinear optics.

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Photon soliton and fine structure due to nonlinear Compton scattering

Cited by 25 publications

References 17 publications

Generalized description of spectral incoherent solitons

Generalized description of spectral incoherent solitons

<title>Stimulated Ion-Compton Modulation Of A Laser Beam</title>

Toward a wave turbulence formulation of statistical nonlinear optics

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