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Non-linear effects in hadronic interactions are treated by means of enhanced pomeron diagrams, assuming that pomeron-pomeron coupling is dominated by soft partonic processes. It is shown that the approach allows to resolve a seeming…

High Energy Physics - Phenomenology · Physics 2011-07-19 S. Ostapchenko

Higher-order nonlinear Schr\"odinger(HNLS) equation which can be used to describe the propagation of short light pulses in the optical fibers, is studied in this paper. Using the phase plane analysis, HNLS equation is reduced into the…

Chaotic Dynamics · Physics 2018-11-27 Zhenyu Tang , Hui-Ling Zhen

High-harmonic spectroscopy driven by circularly-polarized laser pulses and their counter-rotating second harmonic is a new branch of attosecond science which currently lacks quantitative interpretations. We extend this technique to the…

Atomic Physics · Physics 2019-09-04 Denitsa Baykusheva , Simon Brennecke , Manfred Lein , Hans Jakob Wörner

It is shown that exterior complex scaling provides for complete absorption of outgoing flux in numerical solutions of the time-dependent Schr\"odinger equation with strong infrared fields. This is demonstrated by computing high harmonic…

Computational Physics · Physics 2014-05-19 Armin Scrinzi

The propagation of laser beams through madia with cubic nonlinear polarization is part of a wide range of practical applications. The processes that are involved are at the limit of extreme (cuasi-singular) concentration of intensity and…

Plasma Physics · Physics 2016-07-19 F. Spineanu , M. Vlad

The extended nonlinear Schr\"{o}dinger (ENLS) equation with third-order term and fourth-order term which describes the wave propagation in the optical fibers is more accurate than the NLS equation. A study of high-order soliton matrix is…

Exactly Solvable and Integrable Systems · Physics 2020-10-20 Huijuan Zhou , Yong Chen

We introduce spatiotemporal optical dark X solitary waves of the (2+1)D {hyperbolic} nonlinear Schr\"odinger equation (NLSE), that rules wave propagation in a self-focusing and normally dispersive medium. These analytical solutions are…

Pattern Formation and Solitons · Physics 2016-09-01 F. Baronio , S. Wabnitz , S. Chen , M. Onorato , S. Trillo , Y. Kodama

Polarization of light signifies transversal, anisotropic and asymmetrical statistical property of electromagnetic radiation about direction of propagation. Traditionally, optical-polarization is characterized by Stokes theory susceptible to…

Optics · Physics 2015-06-15 Ravi S. Singh , Hari Prakash

We investigate dissociative single and double ionization of HeH+ induced by intense femtosecond laser pulses. By employing a semi-classical model with nuclear trajectories moving on field-dressed surfaces and ionization events treated as…

Atomic Physics · Physics 2018-10-24 Lun Yue , Philipp Wustelt , A. Max Sayler , Gerhard G. Paulus , Stefanie Gräfe

A nonlinear quantum-optical process is considered: emission of photon pairs by the reflecting end of a fiber excited by a standing laser wave. Radiation occurs due to periodic changes in the optical length of the fiber over time. This…

Quantum Physics · Physics 2019-07-11 V. Hizhnyakov

In this research, numerical analysis of nonlinear pulse propagation is carried out. This is done mainly by solving the nonlinear Schrodinger equation using the split step algorithm. In a nonlinear media, dispersive effects exist…

Optics · Physics 2025-04-24 Yogesh Deo , Meenu Shrestha , Om Nath Acharya

The advent of nonlinear X-ray processes like sum-frequency generation and four-wave mixing raises the possibility of non-linear X-ray imaging, combining the high-resolution and elemental specificity of X-ray imaging with the state…

Optics · Physics 2025-12-18 Arnab Sarkar , Allan S. Johnson

We develop a high accuracy power series method for solving partial differential equations with emphasis on the nonlinear Schr\"odinger equations. The accuracy and computing speed can be systematically and arbitrarily increased to orders of…

Numerical Analysis · Mathematics 2021-08-31 L. Al Sakkaf , U. Al Khawaja

We study on dynamics of high-order rogue wave in two-component coupled nonlinear Schr\"{o}dinger equations. Based on the generalized Darboux transformation and formal series method, we obtain the high-order rogue wave solution without the…

Pattern Formation and Solitons · Physics 2016-05-31 Li-Chen Zhao , Boling Guo , Liming Ling

Nonlinear Heisenberg-Langevin equations are solved analytically by operator Fourier-expansion for the laser in the LED regime. Fluctuations of populations of lasing levels are taken into account as perturbations. Spectra of operator…

Optics · Physics 2022-05-20 Igor E. Protsenko , Alexander V. Uskov

We formulate the problem of a two-level system in a linearly polarized laser field in terms of a nonlinear Riccati-type differential equation and solve the equation analytically in time intervals much shorter than half the optical period.…

Quantum Physics · Physics 2007-05-23 R. Parzynski , M. Sobczak , A. Plucinska

We consider polaritons formed by hybridizing particle-hole excitations of an insulating phase with a cavity photon at sub-gap frequencies, where absorption is suppressed. The strength of the hybridization is driven by the Van Hove…

Quantum Gases · Physics 2025-09-22 Igor Gianardi , Michele Pini , Francesco Piazza

Coupled nonlinear Schrodinger systems describe some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photorefractive media in optics and Bose-Einstein condensates. In this paper, we study the existence of…

Analysis of PDEs · Mathematics 2007-05-23 Alessio Pomponio

There are a variety of nonlinear optical effects including higher harmonic generations, photovoltaic effects, and nonlinear Kerr rotations. They are realized by the strong light irradiation to materials that results in nonlinear…

Mesoscale and Nanoscale Physics · Physics 2016-05-26 Takahiro Morimoto , Naoto Nagaosa

We study ab initio computations of the interaction of Lithium with a strong laser field. Numerical solutions of the time-dependent fully-correlated three-particle Schroedinger equation restricted to the one-dimensional soft-core…

Atomic Physics · Physics 2009-11-10 Camilo Ruiz , Luis Plaja , Luis Roso
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