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Related papers: Nonlinear self-collimated sound beams in sonic cry…

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We overview the properties of nonlinear guided waves and (bright and dark) spatial optical solitons in a periodic medium created by a sequence of linear and nonlinear layers. First, we consider a single layer with a cubic nonlinear response…

Pattern Formation and Solitons · Physics 2009-04-01 Andrey A. Sukhorukov , Yuri S. Kivshar

Nonlinear disordered media uniquely combine multiple scattering and second-harmonic generation. Here, we investigate the statistical properties of the nonlinear light generated within such media. We report super-Rayleigh statistics of the…

We demonstrate a variety of nonlinear phenomena at extremely low powers in cryogenic acoustic cavities fabricated from quartz material, which have not undergone any electrodiffusion processes. Nonlinear phenomena observed include lineshape…

Disordered Systems and Neural Networks · Physics 2013-09-23 M. Goryachev , Warrick G. Farr , Eugene N. Ivanov , Michael E. Tobar

Two-mode nonlinear interaction (second-harmonic and second-subharmonic generation) in a planar waveguide with a small periodic corrugation at the surface is studied. Scattering of the interacting fields on the corrugation leads to…

Quantum Physics · Physics 2009-11-13 Jan Perina , Ondrej Haderka , Concita Sibilia , Mario Bertolotti , Michael Scalora

A new dispersion equation is obtained for a non-equilibrium medium with an exponential relaxation model of a vibrationally excited gas. We have researched the dependencies of the pump source and the heat removal on the medium thermodynamic…

Fluid Dynamics · Physics 2018-05-10 S. S. Khrapov , A. V. Khoperskov

All solids, whether crystalline or disordered, support elastic wave propagation with a linear dispersion relation in the long-wavelength limit. These waves, corresponding to low-frequency phonons, feature a vibrational density of states…

Soft Condensed Matter · Physics 2026-05-07 Edan Lerner , Eran Bouchbinder

Dynamic phase-only beam shaping with a liquid crystal spatial light modulator is a powerful technique for tailoring the beam's intensity profile or wave front. While shaping and controlling the light field is a highly researched topic,…

Second-order optical nonlinear effects (second-harmonic and sum-frequency generation) are demonstrated in the telecommunication band by periodic poling of thin films of lithium niobate wafer-bonded on silicon substrates and rib-loaded with…

We consider the coupled propagation of an optical field and its second harmonic in a quadratic nonlinear medium governed by a coupled system of Schrodinger equations. We prove the existence of ring-profiled optical vortex solitons appearing…

Mathematical Physics · Physics 2025-06-23 Luciano Medina

We study the scattering of electromagnetic waves in anisotropic energetic materials. Nonlinear light-matter interactions in molecular crystals result in frequency-conversion and polarization changes. Applied electromagnetic fields of…

Computational Physics · Physics 2016-01-20 M. A. Wood , D. A. R. Dalvit , D. S. Moore

We study the dynamics of two-dimensional nonlinear ion-ion hybrid waves propagating perpendicular to an external magnetic field in plasmas with two ion species. We derive nonlinear equations for the envelope of electrostatic potential at…

Pattern Formation and Solitons · Physics 2024-04-15 Volodymyr M. Lashkin

We investigate the effect of phase modulation of laser beams on the coherent and incoherent non-linear signals arising from the interaction of femtosecond pulses with matter. We observe that two collinear beams, whose phases are modulated…

Optics · Physics 2015-05-29 Khadga Jung Karki , Loni Kringle , Andrew H. Marcus , Tõnu Pullerits

We develop a quantitative mathematical theory that offers new perspectives on nonlinear harmonic generation in plasmonic structures arising from symmetry breaking. Focusing on second harmonic generation--the most fundamental process and the…

Analysis of PDEs · Mathematics 2026-05-04 Hongyu Liu , Zhi-Qiang Miao , Jingfeng Yao , Chengxun Yuan , Guang-Hui Zheng

We propose and demonstrate theoretically a method to achieve and design optical nonlinear responses through a light-mediated spatial hybridization of different standard nonlinearities. The mechanism is based on the fact that optical…

Optics · Physics 2008-04-24 Alessandro Ciattoni , Eugenio Del Re , Carlo Rizza , Andrea Marini

We consider a model for a one-dimensional photonic crystal formed by a succession of Kerr-type equidistant spaceless interfaces immersed in a linear medium. We calculate the band structure and reflectance of this structure as a function of…

It is demonstrated that sonic crystals (periodic structures of sound scatterers) can be used to design acoustic barriers that attenuate efficiently broadband noise. Traffic noise is chosen here as an example in which our design procedure is…

Materials Science · Physics 2012-05-18 Victor Manuel García-Chocano , José Sánchez-Dehesa

A new class of solitary waves arises in the solution of nonlinear wave equations with constant impedance and no dispersive terms. They depend on a balance between nonlinearity and a dispersion-like effect due to spatial variation in the…

Pattern Formation and Solitons · Physics 2013-12-17 David I. Ketcheson , Manuel Quezada de Luna

This paper considers acoustic scattering by and propagation through line and plane arrays of air-bubbles in liquid media. The self-consistent method is used to derive the effective scattering function of a single bubble embedded in the…

Classical Physics · Physics 2007-05-23 Zhen Ye

We investigate the propagation of partially coherent beams in spatially nonlocal nonlinear media with a logarithmic type of nonlinearity. We derive analytical formulas for the evolution of the beam parameters and conditions for the…

Pattern Formation and Solitons · Physics 2009-11-10 Wieslaw Krolikowski , Ole Bang , John Wyller

Generation of electromagnetic radiation near the second harmonic of the plasma frequency during the injection of an electron beam into a rippled-density plasma channel is investigated using both analytical theory and particle-in-cell…

Plasma Physics · Physics 2019-05-01 V. V. Annenkov , E. A. Berendeev , E. P. Volchok , I. V. Timofeev