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The propagation of a narrow-band signal radiated by a point source in a randomly layered absorbing medium is studied asymptotically in the weak-scattering limit. It is shown that in a disordered stratified medium that is homogeneous on…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. D. Freilikher , Yu. V. Tarasov

The study of the scattering of electromagnetic waves by a linear isotropic medium with planar symmetry can be reduced to that of their TE and TM modes. For situations where the medium consists of parallel homogeneous slabs, one may use the…

Quantum Physics · Physics 2025-03-25 Farhang Loran , Ali Mostafazadeh

In this work we study wave propagation in dissipative relativistic fluids described by a simplified set of the 2nd order viscous conformal hydrodynamic equations. Small amplitude waves are studied within the linearization approximation…

Nuclear Theory · Physics 2015-02-27 D. A. Fogaça , H. Marrochio , F. S. Navarra , J. Noronha

In this Letter, we provide experimental evidence of nonlinear wave propagation in a triangular lattice of repulsive magnets supported by an elastic foundation of thin pillars and we interpret all the individual features of the nonlinear…

Pattern Formation and Solitons · Physics 2021-03-22 Weijian Jiao , Stefano Gonella

We theoretically and numerically study the evolution of soliton-like waves supported by stimulated Brillouin scattering. First, the emergence and unusual behaviour of resonant solitary waves are investigated for both backward and forward…

Perfect lensing and cloaking based on complementary media are possible applications of negative refractive index materials. Metamaterials represent the natural candidates to realize such property by tailoring the effective dielectric…

Materials Science · Physics 2010-01-31 Claudio Amabile , Enrico Prati

We find a new set of exact solutions to Maxwell's equations in space--time varying materials, where the refractive index is constant, while the impedance exhibits effective motion, i.e. it is a function of $x-vt$. We find that waves…

Optics · Physics 2024-04-16 Mingjie Li , S. A. R. Horsley

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

In a one-dimensional periodic nonlinear $\chi^{(2)}$ medium, by choosing a proper material and geometrical parameters of the structure, it is possible to obtain two matching conditions for simultaneous generation of second and third…

Materials Science · Physics 2009-10-31 V. V. Konotop , V. Kuzmiak

We study the propagation of high-amplitude sound waves, in the form of pulse-like solitary waves, in an air-filled acoustic waveguide of periodically varying cross section. Our numerical simulations, solving the compressible Navier-Stokes…

Refraction of wave propagation in a corotating pulsar magnetospheric plasma is considered as a possible interpretation for observed asymmetric pulse profiles with multiple components. The pulsar radio emission produced inside the…

Astrophysics · Physics 2009-11-10 D. Fussell , Q. Luo

We present a model of soliton propagation in waveguides with quadratic nonlinearity. Criteria for solitons to exist in such waveguides are developed and two example nano-waveguide structures are simulated as proof of concept. Interactions…

Optics · Physics 2019-12-11 William R. Rowe , Dmitry V. Skryabin , Andrey V. Gorbach

In two space dimensions and one time dimension a wave changes its shape even in the absence of a dispersive medium. However, this anomalous dispersive behavior in empty two-dimensional space does not occur if the wave dynamics is described…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 Carl M. Bender , Francisco J. Rodriguez , Sarben Sarkar , Anatoly V. Zayats

We derive coupled propagation equations for ultrashort pulses in a degenerate three-wave mixing process in quadratic media, using approximations consistent with the slowly evolving wave approximation [T. Brabec and F. Krausz, Phys. Rev.…

Optics · Physics 2007-05-23 Jeffrey Moses , Frank W. Wise

In the present work we explore features of single and pairs of solitary waves in a fractional variant of the nonlinear Schr{\"o}dinger equation. Motivated by the recent experimental realization of arbitrary fractional exponents, upon…

Pattern Formation and Solitons · Physics 2026-02-20 Robert J. Decker , A. Demirkaya , T. J. Alexander , P. G. Kevrekidis

We discuss a time-harmonic inverse scattering problem for a nonlinear Helmholtz equation with compactly supported inhomogeneous scattering objects that are described by a nonlinear refractive index in unbounded free space. Assuming the…

Analysis of PDEs · Mathematics 2022-02-14 Roland Griesmaier , Marvin Knöller , Rainer Mandel

Resonant scattering of plane waves by a periodic slab under conditions close to those that support a guided mode is accompanied by sharp transmission anomalies. For two-dimensional structures, we establish sufficient conditions, involving…

Mathematical Physics · Physics 2011-11-01 Stephen P. Shipman , Hairui Tu

We introduce the simplest one-dimensional model of a dispersive optical medium with saturable dissipative nonlinearity and filtering (dispersive loss) which gives rise to stable solitary pulses (autosolitons). In the particular case when…

Pattern Formation and Solitons · Physics 2009-10-31 Boris Malomed , Andrei Vladimirov , Galina Khodova , Nikolay Rosanov

Theoretical and computational study of reflection and refraction of electromagnetic waves with $p$-polarized and normal incidence electric wave amplitude vector on anisotropic, inhomogeneous and linear medium has been done. The medium used…

Optics · Physics 2012-03-09 Andri S. Husein , Roniyus MS , Sri W. Suciyati

The refractive index of a dielectric medium comprising both passive and inverted components in its permittivity was determined using two methods: (i) in the time domain, a finite-difference algorithm to compute the frequency-domain…

Optics · Physics 2007-12-07 Joseph B. Geddes , Tom G. Mackay , Akhlesh Lakhtakia