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Related papers: Negative refraction in nonlinear wave systems

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We outline a general theory for the analysis of flow-distributed standing and travelling wave patterns in one-dimensional, open plug-flows of oscillatory chemical media. We treat both the amplitude and phase dynamics of small and…

Pattern Formation and Solitons · Physics 2009-11-10 Patrick N. McGraw , Michael Menzinger

We are interested in reaction-diffusion systems, with a conservation law, exhibiting a Hopf bifurcation at the spatial wave number $k = 0$. With the help of a multiple scaling perturbation ansatz a Ginzburg-Landau equation coupled to a…

Analysis of PDEs · Mathematics 2024-01-24 Nicole Gauss , Anna Logioti , Guido Schneider , Dominik Zimmermann

Circumventing the reciprocity invariance has posed an interesting challenge in the design of modern devices for wave engineering. In passive devices, operating the device in the nonlinear response regime is a common means for realizing…

Applied Physics · Physics 2025-10-07 Andrus Giraldo , Behrooz Yousefzadeh

Nonlinear optical effects provide a natural way of light manipulation and interaction, and form the foundation of applied photonics -- from high-speed signal processing and telecommunication, to ultra-high bandwidth interconnects and…

Optics · Physics 2017-05-30 Andrei Rogov , Evgenii Narimanov

Nonlinear damping, the change in damping rate with the amplitude of oscillations plays an important role in many electrical, mechanical and even biological oscillators. In novel technologies such as carbon nanotubes, graphene membranes or…

The atmospheres of (exo) planets and moons, as well as reflection nebulae, contain in general independently scattering particles in random orientation and are often supposed to be plane-parallel. Relations are presented for the…

Astrophysics · Physics 2008-09-23 J. W. Hovenier D. M. Stam

Backwards-wave (BW) materials that have simultaneously negative real parts of their electric permittivity and magnetic permeability can support waves where phase and power propagation occur in opposite directions. These materials were…

Materials Science · Physics 2007-05-23 Michael W. Feise , John B. Schneider , Peter J. Bevelacqua

We develop fluctuational electrodynamics for media with nonlinear optical response in and out of thermal equilibrium. Starting from the stochastic nonlinear Helmholtz equation and using the fluctuation dissipation theorem, we obtain…

Quantum Physics · Physics 2018-01-17 Heino Soo , Matthias Krüger

Most prior works studying tidal interactions in tight star/planet or star/star binary systems have employed linear theory of a viscous fluid in a uniformly-rotating two-dimensional spherical shell. However, compact systems may have…

Solar and Stellar Astrophysics · Physics 2023-10-11 Aurélie Astoul , Adrian J. Barker

The refraction of space-time (ST) wave packets at planar interfaces between non-dispersive, homogeneous, isotropic dielectrics exhibit fascinating phenomena, even at normal incidence. Examples of such refractive phenomena include…

An uncommon double-ray scenario of light resonant scattering by a periodic metasurface is proposed to provide strong non-specular reflection. The metasurface is constracted as an array of silicon nanodisks placed on thin silica-on-metal…

We present an analysis of modulational instability of diffractionless waves in a face-centered square lattice of waveguides featuring non-Kerr nonlinearity, which are constituted by a combination of positive and negative refractive indices.…

Pattern Formation and Solitons · Physics 2020-12-09 A. K. Shafeeque Ali , Andrei I. Maimistov , K. Porsezian , A. Govindarajan , M. Lakshmanan

Nonlinearity induced nonreciprocity is studied in a system comprising two resonators coupled to a one-dimensional waveguide when the linear system does not exhibit nonreciprocity. The analysis is based on the Hamiltonian of the coupled…

Optics · Physics 2024-09-11 Qingtian Miao , G. S. Agarwal

When propagating through periodically structured media, i. e. photonic crystals, optical waves will be modulated with the periodicity. As a result, the dispersion of waves will no longer behave as in a free space, and so called frequency…

Materials Science · Physics 2009-11-10 Chao-Hsien Kuo , Zhen Ye

There are three widely-used conditions for characterizing negative refraction in isotropic dielectric-magnetic materials. Here we demonstrate that whilst all the different conditions are equivalent for purely passive media, they are…

Optics · Physics 2014-09-12 P. Kinsler , M. W. McCall

We show that the combined action of diffraction and convection (walk-off) in wave mixing processes leads to a nonlinear-symmetry-breaking in the generated traveling waves. The dynamics near to threshold is reduced to a Ginzburg-Landau…

Pattern Formation and Solitons · Physics 2009-11-11 Roberta Zambrini , Maxi San Miguel , Celine Durniak , Majid Taki

Optical solitons or soliton-like states shed light to blue-shifted frequencies through a resonant emission process. We predict a mechanism by which a second propagating mode is generated. This mode, called negative resonant radiation…

We study the propagation of electromagnetic waves in the limit of geometrical optics for a class of nearly transparent nonlinear uniaxial metamaterials for which their permittivity tensors present a negative principal component. Their…

Optics · Physics 2012-09-28 Vitorio A. De Lorenci , Jonas P. Pereira

The phenomenon of pattern formation in nonlinear optical resonators is commonly related to an off-resonance excitation mechanism, where patterns occur due to mismatch between the excitation and resonance frequency. In this paper we show…

Pattern Formation and Solitons · Physics 2009-10-31 Kestutis Staliunas , Victor J. Sanchez-Morcillo

We consider the electromagnetic waves propagating in the system of coupled waveguides. One of the system components is a standard waveguide fabricated from nonlinear medium having positive refraction and another component is a waveguide…

Pattern Formation and Solitons · Physics 2015-05-13 Elena V. Kazantseva , Andrei I. Maimistov , Sergei S. Ozhenko
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