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The problem of finding the optimal current distribution supported by small radiators yielding the minimum quality (Q) factor is a fundamental problem in electromagnetism. Q factor bounds constrain the maximum operational bandwidth of…

Resonant modes determine the response of electromagnetic devices, including dielectric and plasmonic resonators. Relying on the degrees of freedom that metamaterials provide, this contribution shows how to design, at will, the resonant…

Areal density of disorder-induced resonators with a high quality factor, $Q\gg 1$, in a film with fluctuating refraction index is calculated theoretically. We demonstrate that for a given $kl>1$, where $k$ is the light wave vector, and $l$…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. M. Apalkov , M. E. Raikh , B. Shapiro

Resonance spectra of two-dimensional dielectric microwave resonators of circular and square shapes have been measured. The deduced length spectra of periodic orbits were analyzed and a trace formula for dielectric resonators recently…

Chaotic Dynamics · Physics 2010-06-25 S. Bittner , E. Bogomolny , B. Dietz , M. Miski-Oglu , P. Oria Iriarte , A. Richter , F. Schäfer

Two approaches (micro- and macro- investigations) are used to determine the dimension dependences of the optical parameters of the nanometer-scale layers of materials. It is shown that both an index of refraction and coefficient of…

Materials Science · Physics 2016-10-13 T. A. Kudykina , A. I. Pervak

The electrical and optical properties of ordered passive arrays, constituted of inductive and capacitive components, are usually deduced from Kirchhoff's rules. Under the assumption of periodic boundary conditions, comparable results may be…

Other Condensed Matter · Physics 2009-11-11 Steffen Schäfer , Laurent Raymond , Gilbert Albinet

The effect of spatial correlations on the Purcell effect in a bidimensional dispersion of resonant nanoparticles is analyzed. We perform extensive calculations on the fluorescence decay rate of a point emitter embedded in a system of…

The ability to control the laser modes within a subwavelength resonator is of key relevance in modern optoelectronics. This work deals with the theoretical research on optical properties of a PT--symmetric nano--scaled dimer formed by two…

Optics · Physics 2021-04-07 Mauro Cuevas , Mojtaba Karimi , Carlos J Zapata-Ropdriguez

This paper investigates the dependence on Poisson's ratio of local plate resonances in low attenuating materials. In our experiments, these resonances are generated by a pulse laser source and detected with a heterodyne interferometer…

Classical Physics · Physics 2014-08-05 Jérôme Laurent , Daniel Royer , Claire Prada

Dielectric relaxation in disordered dielectric mixtures are presented by emphasizing the interfacial polarization. The obtained results coincide with and cause confusion with those of the low frequency dispersion behavior. The considered…

Disordered Systems and Neural Networks · Physics 2007-05-23 Enis Tuncer

We develop a formalism for the calculation of the macroscopic dielectric response of composite systems made of particles of one material embedded periodically within a matrix of another material, each of which is characterized by a well…

We discuss a random matrix model of systems with an approximate symmetry and present the spectral fluctuation statistics and eigenvector characteristics for the model. An acoustic resonator like, e.g., an aluminium plate may have an…

Condensed Matter · Physics 2007-05-23 A. Andersen , C. Ellegaard , A. D. Jackson , K. Schaadt

We describe and demonstrate a method by which the nonlinear piezoelectric properties of a piezoelectric material may be measured by detecting the force that it applies on a suspended micromechanical resonator at one of its mechanical…

Applied Physics · Physics 2018-05-25 Joseph A. Boales , Shyamsunder Erramilli , Pritiraj Mohanty

We explain the Lorentz resonances in plasmonic crystals that consist of 2D nano dielectric inclusions as the interaction between resonant material properties and geometric resonances of electrostatic nature. One example of such plasmonic…

Optics · Physics 2021-12-22 Wei Li , Robert Lipton , Matthias Maier

The swift excitation of the transparent dielectrics by intense short laser pulse produces ultra-fast re-structuring of the electronic landscape generating a wealth of material states continuously changing in space and in time in accord with…

Optics · Physics 2018-04-04 E. G. Gamaly , A. V. Rode

Results of research of resonant phenomena in planar periodic structures consisted of dielectric elements are presented. A problem of plane wave diffraction by a structure which a periodic cell is composed of two dielectric bars with…

Optics · Physics 2012-10-17 Vyacheslav Khardikov , Ekaterina Iarko , Sergey Prosvirnin

We propose a theoretical approach to some of the nanorod-based metamaterial implementations that does not depend on macroscopic electrodynamics. The approach is motivated by the fact that in actual experiments the incident electromagnetic…

Optics · Physics 2023-12-08 Andrei Galiautdinov

We consider a family of random matrix ensembles (RME) invariant under similarity transformations and described by the probability density $P({\bf H})= \exp[-{\rm Tr}V({\bf H})]$. Dyson's mean field theory (MFT) of the corresponding plasma…

Condensed Matter · Physics 2009-10-28 C. M. Canali

We will report on the electromagnetic response due to induced dipolar currents in metamaterials of 2-dimensional array of metallic elements. Used as frequency selectors, the metamaterial transmittance presents a single resonance in the…

Optics · Physics 2009-08-04 C. Rizza , E. Palange , P. Carelli , M. Ortolani , O. Limaj , A. Nucara , S. Lupi

Focusing and resonance properties of two-dimensional small-size hemielliptic lenses made of different materials are studied numerically in order to estimate the influence of internal reflections on the radiation characteristics of…

Optics · Physics 2010-01-12 A. V. Boriskin , R. Sauleau , A. I. Nosich