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The purpose of this paper is to investigate the scattering by a nonlinear crystal whose depth is about the wavelength of the impinging field. More precisely, an infinite nonlinear slab is illuminated by an incident field which is the sum of…

Optics · Physics 2010-11-22 Pierre Godard , Frederic Zolla , Andre Nicolet

Kerr-type nonlinearities form the basis for our physical understanding of nonlinear optical phenomena in condensed matter, such as self-focusing, solitary waves, and wave mixing. In strong fields, they are complemented by higher-order…

We have observed nonlinear transduction of the thermomechanical motion of a nanomechanical resonator when detected as laser transmission through a sideband unresolved optomechanical cavity. Nonlinear detection mechanisms are of considerable…

Mesoscale and Nanoscale Physics · Physics 2014-12-25 C. Doolin , B. D. Hauer , P. H. Kim , A. J. R. MacDonald , H. Ramp , J. P. Davis

A theory of weakly-nonlinear low-temperature relaxational absorption of acoustic and electromagnetic waves in dielectric and metallic glasses is developed. Basing upon the model of two-level tunneling systems we show that the nonlinear…

Disordered Systems and Neural Networks · Physics 2009-10-30 M. Kirkengen , Yu. M. Galperin

We investigate the phenomenology of nonlinear Compton scattering of polarised photons by unpolarised electrons in plane-wave backgrounds. The energy and angular spectra of polarised photons are calculated for linearly- and…

High Energy Physics - Phenomenology · Physics 2020-08-19 B. King , S. Tang

We study the no reflection condition for a planar boundary between vacuum and an isotropic chiral medium. In general chiral media, elliptically polarized waves incident at a particular angle satisfy the no reflection condition. When the…

Optics · Physics 2009-11-13 Y. Tamayama , T. Nakanishi , K. Sugiyama , M. Kitano

An alternative description of quantum scattering processes rests on inhomogeneous terms amended to the Schroedinger equation. We detail the structure of sources that give rise to multipole scattering waves of definite angular momentum, and…

Quantum Physics · Physics 2007-05-23 Christian Bracher , Tobias Kramer , Manfred Kleber

Starting from fundamental multiple scattering theory it is shown that negative refraction indices are feasible for matter waves passing a well-defined ensemble of scatterers. A simple approach to this topic is presented and explicit…

Quantum Physics · Physics 2016-03-07 Florian Pinsker

In this article we propose a generalization of the theory of diffusion approximation for random ODE to a nonlinear system of random Schr\"{o}dinger equations. This system arises in the study of pulse propagation in randomly birefringent…

Analysis of PDEs · Mathematics 2012-12-14 A. de Bouard , M. Gazeau

Nonlinear interactions of waves via instantaneous cross-phase modulation can be cast in the same way as ponderomotive wave-particle interactions in high-frequency electromagnetic field. The ponderomotive effect arises when rays of a probe…

Plasma Physics · Physics 2015-06-18 I. Y. Dodin , N. J. Fisch

The ultrafast optical Kerr effect (OKE) is widely used to investigate the structural dynamics and interactions of liquids, solutions and solids by observing their intrinsic nonlinear temporal responses through nearly-collinear four-wave…

Optics · Physics 2021-03-15 Lucas Huber , Sebastian Maehrlein , Feifan Wang , Yufeng Liu , Xiaoyang Zhu

A quantum scattering theory is developed for Fock states scattered by two-level systems in the free space. Compared to existing scattering theories that treat incident light semi-classically, the theory fully quantizes the incident light as…

Optics · Physics 2016-09-21 Jingfeng Liu , Ming Zhou , Zongfu Yu

We present a perturbative technique for modeling the scattering of light by a nonlinear material. This approach eliminates the need for an iterative algorithm to solve the fully coupled nonlinear problem. We demonstrate its effectiveness in…

Optics · Physics 2026-04-01 Jérémy Itier , Gilles Renversez , Frédéric Zolla

A version of scattering theory that was developed many years ago to treat nuclear scattering processes, has provided a powerful tool to study universality in scattering processes involving open quantum systems with underlying classically…

Chaotic Dynamics · Physics 2022-10-12 L. E. Reichl , G. Akguc

Sampling theory has benefited from a surge of research in recent years, due in part to the intense research in wavelet theory and the connections made between the two fields. In this survey we present several extensions of the Shannon…

Information Theory · Computer Science 2008-12-17 Y. C. Eldar , T. Michaeli

We use a microscopic quantum optical model to compute the spectrum of quantum vacuum emission from strong laser pulses propagating in nonlinear optical media. Similarities and differences with respect to the emission of analog white holes…

Optics · Physics 2014-07-22 Stefano Finazzi , Iacopo Carusotto

In this paper, an existence theory is established for ring-profiled optical vortex solitons. We consider such solitons in the context of an electromagnetic light wave propagating in a self-focusing nonlinear media and governed by a…

Mathematical Physics · Physics 2017-01-25 Luciano Medina

In this letter we describe a new and simple approach for modulating the electromagnetic wave propagating in a dielectric medium in the form of solitons by considering the torque developed between the induced dipoles in the medium and…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 V. Veerakumar , M. Daniel

In the control of classical mechanical systems, the feedback has been successfully applied to the production of the desired nonlinear dynamics. However, how much this can be done is still an open problem in quantum mechanical systems. This…

Quantum Physics · Physics 2012-07-24 Jing Zhang , Re-Bing Wu , Yu-xi Liu , Chun-Wen Li , Tzyh-Jong Tarn

We present an optical picture of linear-optics superradiance, based on a single scattering event embedded in a dispersive effective medium composed by the other atoms. This linear-dispersion theory is valid at low density and in the…

Atomic Physics · Physics 2021-02-05 P. Weiss , A. Cipris , R. Kaiser , I. M. Sokolov , W. Guerin
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