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We present an efficient method for the design of anomalous reflectors for acoustic waves. The approach is based on the fact that the anomalous reflector is actually a diffraction grating in which the amplitude of all the modes is negligible…

Applied Physics · Physics 2018-08-15 Daniel Torrent

We study whispering gallery modes in triple microdisks of equilateral and isosceles triangular configurations. The characteristic properties of resonant modes in three microdisks on vertices of an equilateral triangle are explained by…

Optics · Physics 2020-09-10 Jung-Wan Ryu , Sunghwan Rim

We study time-harmonic scattering by a periodic array of penetrable, high-contrast obstacles with small period, confined to a bounded Lipschitz domain. The strong contrast between the obstacles and the background induces subwavelength…

Analysis of PDEs · Mathematics 2025-10-15 Yuxin Du , Xin Fu , Wenjia Jing

The hybrid plasmonic waveguide consists of a high-permittivity dielectric nanofiber embedded in a low-permittivity dielectric near a metal surface. This architecture is considered as one of the most perspective candidates for long-range…

Optics · Physics 2015-06-12 S. A. Belan , S. S. Vergeles , P. E. Vorobev

The paper suggests to treat the infrared reflectivity spectra of single crystal perovskite relaxors as fine-grained ferroelectric ceramics: locally frozen polarization makes the dielectric function strongly anisotropic in the phonon…

Materials Science · Physics 2009-11-11 J. Hlinka , T. Ostapchuk , D. Noujni , S. Kamba , J. Petzelt

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

A theoretical investigation is made of the dispersion characteristics of plasmons in a two-dimensional periodic system of semiconductor (dielectric) cylinders embedded in a dielectric (semiconductor) background. We consider both square and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Manvir S. Kushwaha

This paper presents the design of a dual band rectangular Dielectric Resonator Antenna (DRA) coupled to narrow slot aperture that is fed by microstrip line. The fundamental TE111 mode and higher-order TE113 mode are excited with their…

Other Computer Science · Computer Science 2013-06-07 H. Raggad , M. Latrach , A. Gharsallah , T. Razban

Diffraction of a high-frequency large-number whispering gallery mode is studied, which runs along a concave curve turning to a straight line. At the point of straitening, the curvature of the boundary suffers a jump. The parabolic equation…

Mathematical Physics · Physics 2026-03-10 E. A. Zlobina

As is well known, the sound-speed profile has significant effects on underwater acoustic sound propagation. These effects can be quantified by normal-mode models, for example. The basic case is a laterally homogeneous medium, for which the…

Atmospheric and Oceanic Physics · Physics 2016-04-11 Sven Ivansson

Whispering gallery resonators offer a versatile platform for manipulating the photonic transmission. Here, we study such a system, including periodically distributed pointlike impurities along the resonator with ring geometry. Based on an…

Mesoscale and Nanoscale Physics · Physics 2024-11-15 M. A. Figueroa , Vladimir Juricic , P. A. Orellana

The paper presents a theoretical study of the eigenmodes of a misaligned ring multi-mirror laser cavity one or several arms of which are filled with an inhomogeneous medium. We start with posing the general problem of calculation of the…

The semicylindrical microresonator with relatively simple excitation with a plane wave is studied. The resonator is formed on the base of the dielectric/metal/dielectric structure, where the wave energy penetrates into resonator through a…

This work presents a theory of the frequency-resolved light emission of active two-dimensional dielectric microresonators, which are characterized by a highly non-paraxial mode structure and frequently feature a position-dependent…

Optics · Physics 2009-06-16 Henning Schomerus

The length spectra of flat three-dimensional dielectric resonators of circular shape were determined from a microwave experiment. They were compared to a semiclassical trace formula obtained within a two-dimensional model based on the…

Optics · Physics 2012-02-03 S. Bittner , E. Bogomolny , B. Dietz , M. Miski-Oglu , A. Richter

We investigate the band-gap structure of the frequency spectrum for elastic waves in a high-contrast, two-component periodic elastic medium. We consider two-dimensional phononic crystals consisting of a background medium which is perforated…

Analysis of PDEs · Mathematics 2007-05-23 H. Ammari , H. Kang , H. Lee

Material losses in metals are a central bottleneck in plasmonics for many applications. Here we propose and theoretically demonstrate that metal losses can be successfully mitigated with dielectric particles on metallic films, giving rise…

We consider Wood anomalies in diffraction spectrum from two-dimensional dielectric periodic grid embedded in a surrounding media. The grid is of subwavelength thickness, and diffraction of wave having S-polarization is investigated in the…

Optics · Physics 2019-05-14 Ekaterina Efremova , Sergey Perminov , Sergey S. Vergeles

Complex scattering potentials can admit scattering states that behave exactly like a zero-width resonance. Their energy is what mathematicians call a spectral singularity. This phenomenon admits optical realizations in the form of lasing at…

Quantum Physics · Physics 2014-05-20 Ali Mostafazadeh , Mustafa Sarisaman

Low-dimensional ordered arrays of optical elements can possess bound modes having an extremely high quality factor. Typically, these arrays consist of metal elements which have significantly high light absorption thus restricting…

Optics · Physics 2009-11-11 Alexander L. Burin