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The propagation of waves in complex media can be harnessed either by taming the incident wave-field impinging on the medium or by forcing waves along desired paths through its careful design. These two alternative strategies have given rise…

Materials Science · Physics 2019-02-15 Benoît Gérardin , Jérôme Laurent , François Legrand , Claire Prada , Alexandre Aubry

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

We address light propagation in segmented waveguide arrays where the refractive index is longitudinally modulated with an out-of-phase modulation in adjacent waveguides, so that the coupling strength varies along propagation direction. Thus…

Optics · Physics 2015-05-28 Yaroslav V. Kartashov , Victor A. Vysloukh

We study the second-harmonic generation in left-handed metamaterials with a quadratic nonlinear response. We demonstrate a novel type of the exact phase matching between the backward propagating wave of the fundamental frequency and the…

Optics · Physics 2009-11-11 Ilya V. Shadrivov , Alexander A. Zharov , Yuri S. Kivshar

In materials that do not allow birefringent phase-matching or periodic poling we propose to use waveguides to exploit the tensor structure of the second order nonlinearity for quasi-phase matching of nonlinear interactions. In particular,…

Optics · Physics 2010-08-13 Rolf T. Horn , Gregor Weihs

We present a discrete model of resonant scattering of waves by an open periodic waveguide. The model elucidates a phenomenon common in electromagnetics, in which the interaction of plane waves with embedded guided modes of the waveguide…

Mathematical Physics · Physics 2011-01-04 Natalia Ptitsyna , Stephen P. Shipman

Waveguides of subwavelength dimensions with asymmetric geometries, such as rib waveguides, can display nonlinear polarization effects in which the nonlinear phase difference dominates the linear contribution, provided the birefringence is…

Optics · Physics 2015-06-04 Wen Qi Zhang , M. A. Lohe , Tanya M. Monro , V. Shahraam Afshar

We study a Helmholtz-type spectral problem related to the propagation of electromagnetic waves in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a two-dimensional periodic medium. The defect is…

Mathematical Physics · Physics 2012-04-05 Malcolm Brown , Vu Hoang , Michael Plum , Ian Wood

We consider a wave propagating through a thin disordered slab inside a wire or waveguide of finite width. In the dense weak scattering limit, the statistics for the complex reflection and transmission coefficients (the coherent field) is…

Optics · Physics 2014-10-23 Miztli Yépez , Saenz Juan Jose

We study light-beam propagation in a nonlinear coupler with an asymmetric double-channel waveguide and derive various analytical forms of optical modes. The results show that the symmetry-preserving modes in a symmetric double-channel…

Optics · Physics 2015-06-01 Rujiang Li , Fei Lv , Lu Li , Zhiyong Xu

We present a new electromagnetic mode that forms at the interface between two planar surfaces laid side by side in free space, effectively guiding energy along an infinitesimal, one-dimensional line. It is shown that this mode occurs when…

Mesoscale and Nanoscale Physics · Physics 2017-09-12 Dia'aaldin J. Bisharat , Daniel F. Sievenpiper

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 report fabrication of optical waveguides embedded in oxidised porous silicon in a mask-less process. Patterned pore-filling was attained by means of inkjet printing, enabling lateral modification of the waveguide's index of refraction…

Applied Physics · Physics 2019-07-24 Alexander Kellarev , Shlomo Ruschin

We theoretically study Dyakonov surface waveguide modes that propagate along the planar strip interfacial waveguide between two uniaxial dielectrics. We demonstrate that due to the one-dimensional electromagnetic confinement, Dyakonov…

Optics · Physics 2020-09-28 D. A. Chermoshentsev , E. V. Anikin , S. A. Dyakov , N. A. Gippius

The extent to which non-reciprocal waves can be guided in arbitrary directions is an interesting question. We address one aspect of this problem by studying the propagation of acoustic spin waves in a narrow physical conduit made of a…

Materials Science · Physics 2025-05-13 Jean-Paul Adam , Nathalie Bardou , Aurélie Solignac , Joo-Von Kim , Thibaut Devolder

The contra-directional coupling between a left-handed monomode waveguide and a right-handed monomode waveguide is rigorously studied using a complex plane analysis. Light is shown to rotate in this lamellar structure forming a very exotic…

Optics · Physics 2009-11-13 Paul-Henri Tichit , Antoine Moreau , Gérard Granet

Subwavelength plasmonic waveguides show the unique ability of strongly localizing (down to the nanoscale) and guiding light. These structures are intrinsically two-way optical communication channels, providing two opposite light propagation…

Optics · Physics 2016-04-13 Yannick Lefier , Thierry Grosjean

We analyze the properties and stability of two-color discrete localized modes in arrays of channel waveguides where tunable quadratic nonlinearity is introduced as a nonlinear defect by periodic poling of a single waveguide in the array. We…

Pattern Formation and Solitons · Physics 2009-11-11 M. I. Molina , R. A. Vicencio , Y. S. Kivshar

The phenomenon of negative refraction generally requires negative refractive indices or phase discontinuities, which can be realized using metamaterials or metasurfaces. Recent theories have proposed a novel mechanism for negative…

In this paper we analyze a time-reversal experiment in a random underwater acoustic channel. In this kind of waveguide with semi-infinite cross section a propagating field can be decomposed over three kinds of modes: the propagating modes,…

Analysis of PDEs · Mathematics 2012-01-26 Christophe Gomez