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Related papers: Raman solitons in transient SRS

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The study of the scattering of electromagnetic waves by a linear isotropic medium with planar symmetry can be reduced to that of their TE and TM modes. For situations where the medium consists of parallel homogeneous slabs, one may use the…

Quantum Physics · Physics 2025-03-25 Farhang Loran , Ali Mostafazadeh

We study the scattering of solitons in the nonlinear Schroedinger equation on local inhomogeneities which may give rise to resonant transmission and reflection. In both cases, we derive resonance conditions for the soliton's velocity. The…

Soft Condensed Matter · Physics 2009-11-10 A. E. Miroshnichenko , S. Flach , B. Malomed

We use the inverse scattering transform and a diffusion approximation limit theorem to study the stability of soliton components of the solution of the nonlinear Schr\"{o}dinger and Korteweg-de Vries equations under random perturbations of…

Analysis of PDEs · Mathematics 2014-03-21 Ennio Fedrizzi

Nonlocal integrable partial differential equations possessing a spatial or temporal reflection have constituted an active research area for the past decade. Recently, more general classes of these nonlocal equations have been proposed,…

Exactly Solvable and Integrable Systems · Physics 2024-07-26 Mark J. Ablowitz , Ziad H. Musslimani , Nicholas J. Ossi

We analyze the transverse instabilities of spatial bright solitons in nonlocal nonlinear media, both analytically and numerically. We demonstrate that the nonlocal nonlinear response leads to a dramatic suppression of the transverse…

Optics · Physics 2009-11-13 YuanYao Lin , Ray-Kuang Lee , Yuri S. Kivshar

The reverse space-time (RST) Sine-Gordon, Sinh-Gordon and nonlinear Schr\"odinger equations were recently introduced and shown to be integrable infinite-dimensional dynamical systems. The inverse scattering transform (IST) for rapidly…

Mathematical Physics · Physics 2017-03-08 Mark J. Ablowitz , Bao-Feng Feng , Xu-Dan Luo , Ziad H. Musslimani

Raman spectroscopy uses light scattering to extract information on low-energy excitations of solids. The Raman process is described by diagrams which are fourth order in the light-matter interaction, and in particular the resonant…

Strongly Correlated Electrons · Physics 2024-01-30 Philipp Werner , Martin Eckstein , Naoto Tsuji

In this Letter, we introduce a new inline model for stimulated Raman scattering (SRS), which runs on our radiation hydrodynamics code TROLL. The modeling follows from a simplified version of a rigorous theory for SRS, which we describe, and…

Plasma Physics · Physics 2023-06-27 D. Bénisti , O. Morice , C. Rouseaux , A. Debayle , P. E. Masson-Laborde , P. Loiseau

We study the inelastic light scattering response in two- (2D) and three-dimensional (3D) Kitaev spin-liquid models with \ms band structures in the symmetry classes BDI and D leading to protected gapless surface modes. We present a detailed…

Strongly Correlated Electrons · Physics 2016-10-04 Brent Perreault , Johannes Knolle , Natalia B. Perkins , F. J. Burnell

We investigate existence and linear stability of coupled vortex solitons supported by cascaded four-wave mixing in a Raman active medium excited away from the resonance. We present a detailed analysis for the two- and three-component vortex…

Optics · Physics 2009-11-13 A. V. Gorbach , D. V. Skryabin , C. N. Harvey

Dynamics of solitons is considered in the framework of the extended nonlinear Schrodinger equation (NLSE), which is derived from a system of Zakharov's type for the interaction between high- and low-frequency (HF and LF) waves, in which the…

Pattern Formation and Solitons · Physics 2014-01-14 E. M. Gromov , B. A. Malomed

The influence of sinusoidal density modulation on the stimulated Raman scattering (SRS) reflectivity in inhomogeneous plasmas is studied by three-wave coupling equations, fully kinetic Vlasov simulations and particle in cell (PIC)…

Plasma Physics · Physics 2021-04-07 Y. Chen , C. Y. Zheng , Z. J. Liu , L. H. Cao , Q. S. Feng , Y. G. Chen , Z. M. Huang , C. Z. Xiao

A consistent semiquantitative theoretical analysis of electronic Raman scattering from many-electron quantum dots under resonance excitation conditions has been performed. The theory is based on random-phase-approximation-like wave…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Alain Delgado , Augusto Gonzalez , D. J. Lockwood

We investigate theoretically and numerically quantum reflection of dark solitons propagating through an external reflectionless potential barrier or in the presence of a position-dependent dispersion. We confirm that quantum reflection…

Pattern Formation and Solitons · Physics 2022-01-11 L. Al Sakkaf , T. Uthayakumar , U. Al Khawaja

Resonant Raman excitation by ultrafast vacuum ultraviolet laser pulses is a powerful means to study electron dynamics in molecules, but experiments must contend with linear background ionization: frequencies high enough to reach resonant…

Chemical Physics · Physics 2015-06-23 S. Miyabe , P. Bucksbaum

Raman spectroscopy is a widely used, powerful, and nondestructive tool for studying the vibrational properties of bulk and low-dimensional materials. Raman spectra can be simulated using first-principles methods, but due to the high…

Materials Science · Physics 2019-03-06 Arsalan Hashemi , Arkady V. Krasheninnikov , Martti Puska , Hannu-Pekka Komsa

We present a rigorous theory of a unified and simple inverse scattering transform (IST) for both focusing and defocusing real nonlocal (reverse-space-time) modified Korteweg-de Vries (mKdV) equations with non-zero boundary conditions…

Exactly Solvable and Integrable Systems · Physics 2020-12-08 Guoqiang Zhang , Zhenya Yan

We have developed an analytical model based on the perturbation theory in order to study the optical propagation of two successive intense solitons in hollow-core photonic crystal fibers filled with Raman-active gases. Based on the time…

We demonstrate that the dark soliton trains in optical fibers with a zero of the group velocity dispersion can generate broad spectral distribution (continuum) associated with the resonant dispersive radiation emitted by solitons. This…

Optics · Physics 2015-05-14 C. Milian , D. V. Skryabin , A. Ferrando

We present a three-dimensional theory of stimulated Raman scattering (SRS) or superradiance. In particular we address how the spatial and temporal properties of the generated SRS beam, or Stokes beam, of radiation depends on the spatial…

Quantum Physics · Physics 2015-05-13 Martin W. Sorensen Anders S. Sorensen