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We show that waveguides with a dielectric core and a lossy metamaterial cladding (metamaterial-dielectric guides) can support hybrid ordinary-surface modes previously only known for metal-dielectric waveguides. These hybrid modes are…

Optics · Physics 2015-03-19 B. R. Lavoie , P. M. Leung , B. C. Sanders

A periodically patterned free surface with inclined slits can convert an incident compressional wave into a reflected shear wave with nearly complete efficiency at very low frequency. The system is described by two-dimensional in-plane…

Applied Physics · Physics 2026-01-14 Kaifei Feng , Pai Peng

We present a method for efficient spin wave guiding within the magnonic nanostructures. Our technique is based on the anomalous refraction in the metamaterial flat slab. The gradual change of the material parameters (saturation…

Applied Physics · Physics 2020-05-20 S Mieszczak , O. Busel , P. Gruszecki , A. N. Kuchko , J. W. Kłos , M. Krawczyk

Here we develop a general theory of mode transformation (diffraction) at the flat transverse boundary between cold magnetized electron plasma and isotropic vacuum-like medium inside a circular waveguide. The obtained results can be also…

Plasma Physics · Physics 2021-05-03 Sergey N. Galyamin

The dispersion relation for the electrostatic waves below the electron plasma frequency in a dense quantum plasma is derived by using the magnetohydrodynamic model. It is shown that in the classical case the dispersion relation reduces to…

Plasma Physics · Physics 2013-05-20 H. Terças , J. T. Mendonça , P. K. Shukla

This paper introduces temporal Bragg gratings as a new class of broadband, reconfigurable parametric amplifiers. We present a comprehensive investigation of power amplification in temporal Bragg gratings, spatially periodic structures with…

Optics · Physics 2026-04-15 Sajjad Taravati

The effect of retaining the material dispersion terms in the nonlinear coupled mode equations (NLCME) that describe light propagation in fiber Bragg gratings is analyzed. It is found that dispersion is responsible for new instabilities of…

Pattern Formation and Solitons · Physics 2007-05-23 C. Martel

The dispersion curves of (elastic) waveguides frequently exhibit crossings and osculations (also known as veering, repulsion, or avoided crossing). Osculations are regions in the dispersion diagram where curves approach each other…

Classical Physics · Physics 2023-10-12 Hauke Gravenkamp , Bor Plestenjak , Daniel A. Kiefer

The diffraction pattern of a single non-periodic compact object, such as a molecule, is continuous and is proportional to the square modulus of the Fourier transform of that object. When arrayed in a crystal, the coherent sum of the…

We study the existence of polychromatic solutions of cubically nonlinear Maxwell equations in the whole space and with dispersive media, i.e., with a time delayed polarization. Due to the complex nature of the dielectric function, the…

Analysis of PDEs · Mathematics 2025-11-27 Tomas Dohnal , Maximilian Hanisch , Runan He

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 investigate the nontrivial characteristics of modulational instability (MI) in a system of Bragg gratings with saturable nonlinearity. We also introduce an equal amount of gain and loss into the existing system which gives rise to an…

Pattern Formation and Solitons · Physics 2023-05-24 K. Tamilselvan , A. Govindarajan , I. Inbavalli , T. Alagesan , M. Lakshmanan

We predict theoretically the nondiffractive propagation of sonic waves in periodic acoustic media (sonic crystals), by expansion into a set of plane waves (Bloch mode expansion), and by finite difference time domain calculations of finite…

We analyze spectrum of waveguide modes of an arbitrary uniaxial anisotropic metamaterial slab with non-local electromagnetic response whose permittivity tensor could be described within Drude approximation. Spatial dispersion was introduced…

Optics · Physics 2016-10-05 Kirill L. Koshelev , Andrey A. Bogdanov

We investigate the dynamics of modulational instability (MI) in $\cal PT$-symmetric fiber Bragg gratings with a phenomenon of intermodulation known as four-wave mixing (FWM). Although the impact of FWM has already been analyzed in the…

Inter-modal coupling in photonic bandgap optical channels in magnetic films is used to leverage the transverse-electric (TE) to transverse-magnetic (TM) mode conversion due to the Faraday Effect. The underlying mechanism is traced to the…

Optics · Physics 2007-05-23 Miguel Levy , Rong Li

Diffraction of elastic waves is considered for a system consisting of two parallel arrays of thin (subwavelength) cylinders that are arranged periodically. The embedding media supports waves with all polarizations, one longitudinal and two…

Classical Physics · Physics 2020-01-07 Omer Haq , Sergei Shabanov

We study analytically defect polariton states in Bragg multiple-quantum-well structures and defect induced changes in transmission and reflection spectra. Defect layers can differ from the host layers in three ways: exciton-light coupling…

Disordered Systems and Neural Networks · Physics 2009-11-07 Lev I. Deych , Alexey Yamilov , Alexander A. Lisyansky

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

This paper introduces the first attempt to employ a localized meshless method to analyze time-harmonic acoustic wave propagation on curved surfaces with periodic holes/inclusions. In particular, the generalized finite difference method is…

Numerical Analysis · Mathematics 2023-07-20 Wen Hu , Zhuojia Fu , Leevan Ling