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An asymptotic theory is developed to generate equations that model the global behaviour of electromagnetic waves in periodic photonic structures when the wavelength is not necessarily long relative to the periodic cell dimensions;…

Mathematical Physics · Physics 2015-06-09 B. J. Maling , D. J. Colquitt , R. V. Craster

We consider the nonlinear propagation of light in an optical fiber waveguide as modeled by the anharmonic Maxwell-Lorentz equations (AMLE). The waveguide is assumed to have an index of refraction which varies periodically along its length.…

Pattern Formation and Solitons · Physics 2009-10-31 Roy H. Goodman , Michael I. Weinstein , Philip J. Holmes

We investigate the nonlinear propagation of light in graded-index multimode fiber, utilizing it as an optical computing unit, and quantify how it employs waveguide modes to process information. Using a time-dependent spatiotemporal…

Optics · Physics 2025-12-12 Firdevs Yüce , Bora Çarpınlıoğlu , Uğur Teğin

The propagation of light-pulse with negative group-velocity in a nonlinear medium is studied theoretically. We show that the necessary conditions for these effects to be observable are realized in a three-level $\Lambda$-system interacting…

Classical Physics · Physics 2009-11-07 R. G. Ghulghazaryan , Yu. P. Malakyan

Precise modelling of the (off-axis) point spread function (PSF) to identify geometrical and polarization aberrations is important for many optical systems. In order to characterise the PSF of the system in all Stokes parameters, an…

Optics · Physics 2018-11-27 Steven P. Bos , Sebastiaan Y. Haffert , Christoph U. Keller

Radio waves propagating from distant pulsars in the interstellar medium (ISM), are refracted by electron density inhomogeneities, so that the intensity of observed pulses fluctuates with time. The theory relating the observed pulse…

Astrophysics · Physics 2009-11-10 Stanislav Boldyrev , Carl R. Gwinn

A micro-hydrodynamics model based on elastic collisions of light point solvent particles with a heavy solute particle is investigated in the setting where the light particles have velocity distribution corresponding to a background flow.…

Fluid Dynamics · Physics 2023-11-21 Radek Erban , Robert A. Van Gorder

This review article provides a concise summary of one- and two-dimensional models for the propagation of linear and nonlinear waves in fractional media. The basic models, which originate from fractional quantum mechanics and more…

Pattern Formation and Solitons · Physics 2024-01-10 Boris A. Malomed

The propagation of light through bianisotropic materials is studied in the geometrical optics approximation. For that purpose, we use the quartic general dispersion equation specified by the Tamm-Rubilar tensor, which is cubic in the…

Optics · Physics 2016-03-02 Alberto Favaro

We present an analytical approach to the theory of nonlinear propagation of femtosecond optical pulses with broad-band spectrum in gases. The vector character of the nonlinear third-order polarization is investigated in details, taking into…

Optics · Physics 2015-03-18 Lubomir M. Kovachev

Interfering liquid surface waves are generated by electrically driven vertical oscillations of two or more equispaced pins immersed in a liquid (water). The corresponding intensity distribution, resulting from diffraction of monochromatic…

Optics · Physics 2009-11-10 Tarun Kr. Barik , Anushree Roy , Sayan Kar

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

We provide a theoretical explanation of the results on the intensity distributions and correlation functions obtained from a random beam speckle field in nonlinear bulk waveguides reported in the recent publication Y. Bromberg et.al., Nat.…

Optics · Physics 2012-05-28 Stanislav Derevyanko , Eran Small

Searches for dispersive effects in the propagation of light at cosmological distances have been touted as sensitive probes of Lorentz invariance violation (LIV) and of theories of quantum gravity. Frequency-dependent time lags between…

High Energy Physics - Phenomenology · Physics 2013-09-18 David C. Latimer

Miniaturized optical resonators with spatial dimensions of the order of the wavelength of the trapped light offer prospects for a variety of new applications like quantum processing or construction of meta-materials. Light propagation in…

Computational Physics · Physics 2009-05-28 L. Zschiedrich , S. Burger , B. Kettner , F. Schmidt

Nonlinear optical phenomena are typically local. Here we predict the possibility of highly nonlocal optical nonlinearities for light propagating in atomic media trapped near a nano-waveguide, where long-range interactions between the atoms…

Quantum Physics · Physics 2016-07-08 Ephraim Shahmoon , Pjotrs Grisins , Hans Peter Stimming , Igor Mazets , Gershon Kurizki

The trajectory of light rays propagating through a nonuniformly moving anisotropic medium is determined by considering the Fresnel drag experienced by the wave at each point along the ray. By showing that symmetries in the velocity field…

Plasma Physics · Physics 2025-12-02 Julien Langlois , Renaud Gueroult

Transformation equations for physical quantities that characterize plane electromagnetic wave propagation in transparent optical media are presented. The Doppler effect, and measurements performed by an observer moving with the wave are…

General Physics · Physics 2008-12-04 B. Rothenstein , A. De Sabata

Nonlinear effects in pulse propagation through a medium consisting of four-level double-$\Lambda$-type systems are studied theoretically. We apply three continous-wave driving fields and a pulsed probe field such that they form a closed…

Quantum Physics · Physics 2009-11-13 Robert Fleischhaker , Jörg Evers

We derive model equations for optical pulse propagation in a medium described by a two-level Hamiltonian, without the use of the slowly varying envelope approximation. Assuming that the resonance frequency of the two-level atoms is either…

Pattern Formation and Solitons · Physics 2007-05-23 Herve Leblond , Francois Sanchez