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Random impedance networks are widely used as a model to describe plasmon resonances in disordered metal-dielectric and other two-component nanocomposites. In the present work, the spectral properties of resonances in random networks are…

Disordered Systems and Neural Networks · Physics 2018-11-06 Nikita Olekhno , Yaroslav Beltukov

On the basis of the transfer matrix technique an analytical method to investigate the stationary states, for an electron in one-dimensional periodic structures in an external electrical field, displaying the symmetry of the problem is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 N. L. Chuprikov

Exact expressions for all the steady-state fields (E, H, D, B) in uniaxial linear media composed of an arbitrary number of layers having arbitrary thicknesses subjected to normal incidence are derived. Generic boundary condition relations…

Materials Science · Physics 2007-05-23 Pieder Beeli

Kirchhoff's scalar diffraction theory is applied throughout photon and electron optics. It is based on the stationary electromagnetic or Schr\"odinger wave equation, and is useful in describing interference phenomena for both light and…

Quantum Physics · Physics 2013-03-06 Ruben Van Boxem , Bart Partoens , Jo Verbeeck

We consider light scattering off a two-dimensional (2D) dipolar array and show how it can be tailored by properly choosing the lattice constant of the order of the incident wavelength. In particular, we demonstrate that such arrays can…

Quantum Physics · Physics 2017-03-22 Ephraim Shahmoon , Dominik S. Wild , Mikhail D. Lukin , Susanne F. Yelin

Invariance in duality transformation, the self-dual property, has important applications in electromagnetic engineering. In the present paper, the problem of most general linear and local boundary conditions with self-dual property is…

Classical Physics · Physics 2020-03-09 Ismo V. Lindell , Ari Sihvola

A mathematical model describing the capture of nonlinear systems into the autoresonance by a combined parametric and external periodic slowly varying perturbation is considered. The autoresonance phenomenon is associated with solutions…

Dynamical Systems · Mathematics 2023-09-26 Oskar Sultanov

Complex periodic structures inherit spectral properties from the constituent parts of their unit cells, chiefly their spectral band gaps. Exploiting this intuitive principle, which is made precise in this work, means spectral features of…

Classical Analysis and ODEs · Mathematics 2024-01-15 Lucas Dunckley , Bryn Davies

We analyze the optical resonances of a dielectric sphere whose surface has been slightly deformed in an arbitrary way. Setting up a perturbation series up to second order, we derive both the frequency shifts and modified linewidths. Our…

Optics · Physics 2019-08-28 Andrea Aiello , Jack G. E. Harris , Florian Marquardt

The interaction of non-monochromatic radiation with two types of arrays comprising both plasmonic and dielectric nanoparticles has been studied in detail. We have shown that dielectric nanoparticle arrays provide a complete selective…

The diffraction of electromagnetic waves by screens (apertures in screens) with time-varying dimensions is studied. The generalized vector Kirchhoff's representation for this case is obtained. It is also shown that with accuracy up to the…

Optics · Physics 2015-04-09 V. G. Baryshevsky

Electromagnetic properties of periodic two-dimensional sub-wavelength structures consisting of closely-packed inclusions of materials with negative dielectric permittivity $\epsilon$ in a dielectric host with positive $\epsilon_h$ can be…

Materials Science · Physics 2009-11-10 Gennady Shvets , Yaroslav Urzhumov

Light propagation in all-dielectric rod-type metamaterials is studied theoretically. The electric and magnetic dipole moments of the rods are derived analytically in the long-wavelength limit. The effective permittivity and permeability of…

Optics · Physics 2009-11-13 K. Vynck , D. Felbacq , E. Centeno , A. I. Cabuz , D. Cassagne , B. Guizal

We describe applications of two-dimensional subwavelength quantum emitter arrays as efficient optical elements in the linear regime. For normally incident light, the cooperative optical response, stemming from emitter-emitter dipole…

Quantum Physics · Physics 2023-02-15 Nico S. Bassler , Michael Reitz , Kai P. Schmidt , Claudiu Genes

Quantum graphs and their experimental counterparts, microwave networks, are ideally suited to study the spectral statistics of chaotic systems. The graph spectrum is obtained from the zeros of a secular determinant derived from energy and…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Tobias Hofmann , Junjie Lu , Ulrich Kuhl , Hans-Jürgen Stöckmann

Small-size acoustic arrays exploit spatial diversity to achieve capabilities beyond those of single-element devices, with applications ranging from teleconferencing to immersive multimedia. A key requirement for broadband array processing…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Federico Miotello , Davide Albertini , Alberto Bernardini

It is now well established that the homogenization of a periodic array of parallel dielectric fibers with suitably scaled high permittivity can lead to a (possibly) negative frequency-dependent effective permeability. However this result…

Analysis of PDEs · Mathematics 2017-06-20 Guy Bouchitté , Christophe Bourel , Didier Felbacq

The open nonlinear electrodynamic system - nonlinear transverse non-homogeneous dielectric layer, is an example of inorganic system having the properties of self-organization, peculiar to biological systems. The necessary precondition of…

Computational Physics · Physics 2007-05-23 V. V. Yatsyk

A class of linear hyperbolic partial differential equations, sometimes called networks of waves, is considered. For this class of systems, necessary and sufficient conditions are formulated on the system matrices for the operator dynamics…

Functional Analysis · Mathematics 2024-05-20 Anthony Hastir , Birgit Jacob , Hans Zwart

We study composite assemblages of dielectrics and metamaterials with respectively positive and negative material parameters. In the continuum case, for a scalar equation, such media may exhibit so-called plasmonic resonances for certain…

Analysis of PDEs · Mathematics 2024-07-30 Kaïs Ammari , Eric Bonnetier , Alessandro Duca