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Nonlinear evolution equations of the fourth order and its partial cases are derived for describing nonlinear pressure waves in a mixture liquid and gas bubbles. Influence of viscosity and heat transfer is taken into account. Exact solutions…

Pattern Formation and Solitons · Physics 2011-12-23 Nikolay A. Kudryashov , Dmitry I. Sinelshchikov

For scalar semilinear wave equations, we analyze the interaction of two (distorted) plane waves at an interface between media of different nonlinear properties. We show that new waves are generated from the nonlinear interactions, which…

Analysis of PDEs · Mathematics 2017-11-15 Maarten de Hoop , Gunther Uhlmann , Yiran Wang

Contemporary observational and theoretical studies on the temporal nature of microscopic measurements renewed the discussion about the fundamental constants, leading to the possibility of light speed variation and superluminal pulse…

General Physics · Physics 2007-05-23 R Assumpcao

Nonclassicality filters provide a universal method to visualize the nonclassicality of arbitrary quantum states of light through negativities of a regularized Glauber-Sudarshan $P$ function, also denoted as nonclassicality quasiprobability.…

Quantum Physics · Physics 2014-10-06 B. Kühn , W. Vogel

The nonlinear optical response of materials to exciting light is enhanced by resonances between the incident laser frequencies and the energy levels of the excited material. Traditionally, in molecular nonlinear spectroscopy one tunes the…

Optics · Physics 2019-01-30 Yael Blechman , Euclides Almeida , Basudeb Sain , Yehiam Prior

A theoretical study is presented for the propagation of Dust Ion Acoustic Waves in an unmagnetized four-component plasma, consisting of Maxwellian negative ions, cold mobile positive ions, $\kappa$-distributed electrons and positively…

Plasma Physics · Physics 2021-02-03 Anjana Sinha , Biswajit Sahu

Optical pulses are routinely used to drive dynamical changes in the properties of solids. In quantum materials, many new phenomena have been discovered, including ultrafast transitions between electronic phases, switching of ferroic orders…

Strongly Correlated Electrons · Physics 2018-05-08 Michele Buzzi , Michael Först , Roman Mankowsky , Andrea Cavalleri

The three-wave resonant interaction equations are a non-dispersive system of partial differential equations with quadratic coupling describing the time evolution of the complex amplitudes of three resonant wave modes. Collisions of wave…

Mathematical Physics · Physics 2017-06-28 Robert J. Buckingham , Robert M. Jenkins , Peter D. Miller

A new model to study the dynamics of relativistic quantum plasmas using the quantum electrodynamical (QED) approach has been constructed to analyze the quantum effects, relativistic corrections, and electromagnetic interactions. Considering…

Plasma Physics · Physics 2025-04-17 Priya Mishra , Punit Kumar

We report time resolved studies and measurement of all the components of the third-order nonlinear optical susceptibility of CS2 at 515 nm using degenerate four wave mixing. The use of a pulse of width 450 fs, which is comparable to the…

Optics · Physics 2022-03-08 Prajal Chettri , Shailesh Srivastava

An influence of nonlinear interference processes at quantum transitions under strong resonance electromagnetic fields on absorption, amplification and refractive indices as well as on four-wave mixing processes is investigated. Doppler…

Quantum Physics · Physics 2015-06-26 A. K. Popov

Optical parametric process occurring in a photonic band-gap planar waveguide is studied from the point of view of nonclassical-light generation. Nonlinearly interacting optical fields are described by the generalized superposition of…

Quantum Physics · Physics 2009-11-10 Jan Perina , Concita Sibilia , Daniela Tricca , Mario Bertolotti

The interaction between a large number of laser filaments brought together using weak external focusing leads to the emergence of few filamentary structures reminiscent of standard filaments, but carrying a higher intensity. The resulting…

We develop a nonlinear theory of soliton-induced waveguides that describes a finite-amplitude probe beam guided by a spatial dark soliton in a saturable nonlinear medium. We suggest an effective way to control the interaction of these…

patt-sol · Physics 2009-10-31 Elena A. Ostrovskaya , Yuri S. Kivshar

A system of harmonic oscillators coupled via nonlinear interaction is a fundamental model in many branches of physics, from biophysics to electronics and condensed matter physics. In quantum optics, weak nonlinear interaction between light…

Quantum Physics · Physics 2017-10-24 Shiqian Ding , Gleb Maslennikov , Roland Hablutzel , Huanqian Loh , Dzmitry Matsukevich

Besides their stunning physical properties which are unmatched in a classical world, squeezed states of electromagnetic radiation bear advanced application potentials in quantum information systems and precision metrology, including…

Three-dimensional (3D) particle-in-cell (PIC) simulations are used to investigate the interaction of ultrahigh intensity lasers ($> 10^{20}$ W/cm$^{-2}$) with matter at overcritical densities. Intense laser pulses are shown to penetrate up…

Plasma Physics · Physics 2012-05-15 F. Fiuza , R. A. Fonseca , L. O. Silva , J. Tonge , J. May , W. B. Mori

Non-perturbative phenomena in four-wave mixing spectra of semiconductors are studied using the exact solution of a widely used phenomenological non-linear equation of motion of the exciton polarization. It is shown that Coulomb interaction,…

Mesoscale and Nanoscale Physics · Physics 2015-06-02 Mikhail Erementchouk , Michael N. Leuenberger , L. J. Sham

Nonlinear sources of quantum light are foundational to nearly all optical quantum technologies and are actively advancing toward real-world deployment. Achieving this goal requires fabrication capabilities to be scaled to industrial…

Quantum Physics · Physics 2025-12-30 Tim F. Weiss , Akram Youssry , Alberto Peruzzo

The Schwinger limit could be approached by focusing to its diffraction limit the light reflected by a plasma mirror irradiated by a multi-petawatt laser. We explore numerically the interaction between such intense light and matter. We find…

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