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Related papers: Raman solitons in transient SRS

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Stimulated Raman scattering of a laser pump pulse seeded by a Stokes pulse generically leaves a two-level medium initially at rest in an excited state constituted of static solitons and radiation. The soliton birth manifests as sudden very…

solv-int · Physics 2016-09-08 J. Leon , A. V. Mikhailov

The equations of transient stimulated Raman scattering on the finite interval are solved by the spectral transform method on the semi-line. As the problem has a free end, the pump and Stokes output at finite distance can be constructed as…

solv-int · Physics 2008-02-03 J. Leon

Zakharov-Shabat--Ablowitz-Kaup-Newel-Segur representation for Stokes-anti-Stokes stimulated Raman scattering is proposed. Periodical waves, solitons and self-similarity solutions are derived. Transient and bright threshold solitons are…

patt-sol · Physics 2016-09-08 V. S. Gerdjikov , N. A. Kostov

Dynamics of solitons is considered in an extended nonlinear Schr\"odinger equation, including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term (scattering on damping low-frequency waves, third-order dispersion (TOD) and inhomogeneity…

Pattern Formation and Solitons · Physics 2016-03-01 A. V. Aseeva , L. G. Blyakhman , E. M. Gromov , V. V. Tyutin

As a highly sensitive vibrational imaging method, stimulated Raman scattering (SRS) microscopy is finding various applications, while its theoretical treatment seems still under development. Here we present a theoretical estimation of…

Optics · Physics 2024-03-11 Yasuyuki Ozeki

We demonstrate that the temporal reflection of a weak dispersive pulse on a soliton in media with a frequency-dependent nonlinearity leads to the generation of new solitons, whose number can be selected by tuning parameters of the…

Spontaneous Raman scattering (SpRS) is a weak non-linear effect, particularly relevant to classical-quantum coexistence transmission and sensing applications. In classical transmission, the relevant Raman effect is stimulated Raman…

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

Optics · Physics 2014-03-05 E. M. Gromov , B. A. Malomed

The dynamics of two-component solitons is studied, analytically and numerically, in the framework of a system of coupled extended nonlinear Schr\"odinger equations, which incorporate the cross-phase modulation,…

Pattern Formation and Solitons · Physics 2017-05-19 E. M. Gromov , B. A. Malomed , V. V. Tyutin

By using the inverse spectral transform, the SRS equations are solved and the explicit output data is given for arbitrary laser pump and Stokes seed profiles injected on a vacuum of optical phonons. For long duration laser pulses, this…

solv-int · Physics 2009-10-28 C. Claude , J. Leon

Raman scattering underlies a broad range of spectroscopic and light-generation techniques, yet its conventional description, based on the Raman gain spectrum, accurately describes only long-pulse, steady-state dynamics. We present a…

We study Raman scattering in active media placed in proximity of different types of metal nanostructures, at wavelengths that display either Fabry-Perot or plasmonic resonances, or a combination of both. We use a semi-classical approach to…

Optics · Physics 2015-06-05 M. Scalora , M. A. Vincenti , D. de Ceglia , M. Grande , J. W. Haus

Dynamics of solitons is considered in the framework of an extended nonlinear Schr\"odinger equation (NLSE), which is derived from a Zakharov-type model for wind-driven high-frequency (HF) surface waves in the ocean, coupled to damped…

Pattern Formation and Solitons · Physics 2015-12-04 Evgeny M. Gromov , Boris A. Malomed

Integrable PDEs on the line can be analyzed by the so-called Inverse Scattering Transform (IST) method. A particularly powerful aspect of the IST is its ability to predict the large $t$ behavior of the solution. Namely, starting with…

Exactly Solvable and Integrable Systems · Physics 2015-03-13 A. S. Fokas , J. Lenells

The inclusion of atomic inversion in Raman scattering can significantly alter field dynamics in plasmonic settings. Our calculations show that large local fields and femtosecond pulses combine to yield: (i) population inversion within hot…

Optics · Physics 2015-06-15 M. Scalora , M. A. Vincenti , D. de Ceglia , M. Grande , J. W. Haus

We analyse Raman-induced self-frequency shift in two-component solitons supported by both quadratic and cubic nonlinearities. Treating Raman terms as a perturbation, we derive expressions for soliton velocity and frequency shifts of the…

Optics · Physics 2020-08-26 William R. Rowe , Dmitry V. Skryabin , Andrey V. Gorbach

In this paper, the theory of inverse scattering transform (IST) is developed for the discrete PT-symmetric nonlocal nonlinear Schr\"{o}inger equation under large nonzero boundary conditions (NZBCs). By considering that the data at infinity…

Exactly Solvable and Integrable Systems · Physics 2026-04-01 Chuanxin Xu , Tao Xu

An accurate, closed-form expression evaluating the nonlinear interference (NLI) power in coherent optical transmission systems in the presence of inter-channel stimulated Raman scattering (ISRS) is derived. The analytical result enables a…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Daniel Semrau , Robert I. Killey , Polina Bayvel

The model underlying physics of guiding light in single-mode fibers -- the one-dimensional nonlinear Schr\"odinger equation (NLSE), reveals a remarkable balance of the fiber dispersion and nonlinearity, leading to the existence of optical…

Pattern Formation and Solitons · Physics 2024-09-25 Alexandre Mucci , Pierre Suret , François Copie , Stephane Randoux , Rustam Mullyadzhanov , Andrey Gelash

Stable two- and three-dimensional spatiotemporal solitons (STSs) in second-harmonic-generating media are found in the case of normal dispersion at the second harmonic (SH). This result, surprising from the theoretical viewpoint, opens a way…

Pattern Formation and Solitons · Physics 2009-11-10 I. N. Towers , B. A. Malomed , F. W. Wise
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