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The resonant optical modes of a high permittivity dielectric prism with an equilateral triangular cross section are discussed. Eigenmode solutions of the scalar Helmholtz equation with Dirichlet boundary conditions, appropriate to a…

Optics · Physics 2007-05-23 G. M. Wysin

Circular microresonators (microdisks) are micron sized dielectric disks embedded in a material of lower refractive index. They possess modes with complex eigenvalues (resonances) which are solutions of analytically given transcendental…

Optics · Physics 2010-03-09 C. P. Dettmann , G. V. Morozov , M. Sieber , H. Waalkens

A new approximation scheme, designed to solve the covariant Maxwell equations inside a rotating hollow slender conducting cavity (modelling a ring-laser), is constructed. It is shown that for well-defined conditions there exist TE and TM…

General Relativity and Quantum Cosmology · Physics 2007-05-23 David A. Burton , Adam Noble , Robin W. Tucker , David L. Wiltshire

The resemblance between electrons and optical waves has strongly driven the advancement of mesoscopic physics. However, electron waves have yet to be understood in open cavity structures which have provided contemporary optics with rich…

Electromagnetic bound states in the radiation continuum are studied for periodic double arrays of subwavelength dielectric cylinders in TM polarization. They are similar to localized waveguide mode solutions of Maxwell's equations for metal…

Mathematical Physics · Physics 2010-10-05 Friends R. Ndangali , Sergei V. Shabanov

The electromagnetic modes and the resonances of homogeneous, finite size, two-dimensional bodies are examined in the frequency domain by a rigorous full wave approach based on an integro-differential formulation of the electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Carlo Forestiere , Giovanni Gravina , Giovanni Miano , Mariano Pascale , Roberto Tricarico

We study time dependence of various measures of entanglement (covariance entanglement coefficient, purity entanglement coefficient, normalized distance coefficient, entropic coefficients) between resonantly coupled modes of the…

Quantum Physics · Physics 2010-06-29 M. A. Andreata , A. V. Dodonov , V. V. Dodonov

Through left- or right-handed twisting, we investigate the impact of mirror-asymmetry (chirality) of the conducting boundary conditions of an equilaterial triangular cross-section electromagnetic resonator. We observe the generation of…

Classical Physics · Physics 2026-01-21 E. C. I. Paterson , J. Bourhill , M. E. Tobar , M. Goryachev

Outer resonances are studied as one type of quasinormal modes in two-dimensional dielectric cavities with refractive index $n>1$. The outer resonances can be verified as the resonances which survive only outside the cavity in the small…

Optics · Physics 2015-03-13 Jinhang Cho , Inbo Kim , Sunghwan Rim , Geo-Su Yim , Chil-Min Kim

It was usually assumed that the resonator based on a waveguide has the eigen oscillations that are formed by interference of two waves which propagate in different directions and have equal amplitudes. These patterns are usually called…

Optics · Physics 2007-05-23 Mikola I. Ayzatsky

As was shown by N. Engheta, electromagnetic fields in two adjacent slabs bounded by two metal walls can satisfy the boundary conditions even if the distance between the two walls is much smaller than the wavelength. This is possible if one…

Condensed Matter · Physics 2007-05-23 S. A. Tretyakov , S. I. Maslovski , I. S. Nefedov , M. K. Kärkkäinen

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…

A method is presented to investigate diffraction of an electromagnetic plane wave by an infinitely thin infinitely conducting circular cylinder with longitudinal slots. It is based on the use of the combined boundary conditions method that…

Optics · Physics 2007-05-23 B. Guizal , D. Felbacq

Consider the transverse magnetic polarization of the electromagnetic scattering of a plane wave by a perfectly conducting plane surface, which contains a two-dimensional subwavelength rectangular cavity. The enhancement is investigated…

Analysis of PDEs · Mathematics 2017-11-21 Yixian Gao , Peijun Li , Xiaokai Yuan

We develop a model for the coupling of quasi-normal modes in open photonic systems consisting of two resonators. By expressing the modes of the coupled system as a linear combination of the modes of the individual particles, we obtain a…

Optics · Physics 2016-11-03 Benjamin Vial , Yang Hao

The paper presents a detailed study of azimuthally propagating electromagnetic waves in cylindrical metallic cavities with circular cross section. Dispersion characteristics of these waves are determined from Maxwell's equations. Solutions…

Optics · Physics 2025-05-09 Mustafa Bakr , Smain Amari

The propagation of electromagnetic waves trapped within dielectric and magnetic layers is considered. The description within the three-dimensional theory is compared with the simplified analysis in two dimensions. Two distinct media…

Classical Physics · Physics 2018-05-23 Tomasz Radozycki , Piotr Bargiela

The theoretical description and experimental verification of resonant phenomena in electromagnetic fields generated in the near zone of all-dielectric rectangular thin sub wavelength frames, subjected to an incident microwave, is…

Applied Physics · Physics 2024-10-08 Aleksandr Shvartsburg , Sergey Artekha

We present an analysis of electromagnetic oscillations in a spherical conducting cavity filled concentrically with either dielectric or vacuum layers. The fields are given analytically, and the resonant frequency is determined numerically.…

Accelerator Physics · Physics 2013-03-04 Władysław Żakowicz , Andrzej A. Skorupski , Eryk Infeld

The confinement properties of the open structure formed crossing a circular waveguide perpendicular to a parallel-plate waveguide are discussed, highlighting the fundamental differences with respect to the common high-frequency resonators.…

Instrumentation and Detectors · Physics 2007-05-23 G. Annino , M. Cassettari , M. Martinelli
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