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The resonance modes and the related effects to the transmission of elastic waves in a two dimensional phononic crystal formed by periodic arrangements of a two blocks unit cell in one direction are studied. The unit cell consists of two…

Materials Science · Physics 2009-11-13 Yongwei Gu , Xudong Luo , Hongru Ma

This paper presents a study of the forced acoustical response of an open cavity from the perspective of modal expansion. Based on the coupled mode theory, it is shown that the sound pressure distribution of an open cavity excited by a point…

Classical Physics · Physics 2016-07-19 Yuhui Tong , Yiwei Kou , Jie Pan

Radiation loss and resonant frequency shift due to sidewall surface roughness of circular and square high-contrast microcavities are estimated and compared by using a boundary integral equations method. An effect of various harmonic…

We develop a coordinate invariant formalism which describes the mechanical and electromagnetic interaction of gravitational waves (GWs) with a wide class of resonant detectors. We solve the GW-modified equations of electrodynamics and…

General Relativity and Quantum Cosmology · Physics 2026-03-02 Jordan Gué , Tom Krokotsch , Gudrid Moortgat-Pick

We experimentally study the widths of resonances in a two-dimensional microwave cavity at room temperature. By developing a model for the coupling antennas, we are able to discriminate their contribution from those of ohmic losses to the…

Other Condensed Matter · Physics 2007-05-23 Jerome Barthelemy , Olivier Legrand , Fabrice Mortessagne

We investigate an acoustical analog of circuit quantum electrodynamics that facilitates compact high-Q (${>}20,000$) microwave-frequency cavities with dense spectra. We fabricate and characterize a device that comprises a flux tunable…

Quantum Physics · Physics 2018-06-06 Bradley A. Moores , Lucas R. Sletten , Jeremie J. Viennot , K. W. Lehnert

The nonlocal order parameter equation for nonlinear optical resonator is approximated in the limit of high Fresnel number by the Swift- Hohenberg equation. The exact soliton and periodic solutions of the Swift- Hohenberg equation for…

Pattern Formation and Solitons · Physics 2007-05-23 A. Yu. Okulov

In this paper, we investigate wave scattering by a pair of closely spaced inclusions embedded in a homogeneous medium, characterized by a high contrast physical parameters. The system is modeled by the two-dimensional Helmholtz equation. We…

Analysis of PDEs · Mathematics 2025-11-21 Hongjie Dong , Hongjie Li , Longjuan Xu

Analysis of the properties of resonant modes in a reentrant cavity structure comprising of a post and a ring was undertaken and verified experimentally. In particular we show the existence of higher order reentrant cavity modes in such a…

Instrumentation and Detectors · Physics 2014-03-12 Y. Fan , Z. Zhang , N. C. Carvalho , J-M. Le Floch , Q. Shan , M. E. Tobar

An analysis is developed linking the form of the sound field from a circular source to the radial structure of the source, without recourse to far-field or other approximations. It is found that the information radiated into the field is…

Mathematical Physics · Physics 2015-05-20 Michael Carley

The paper is devoted to optimization of resonances in a 1-D open optical cavity. The cavity's structure is represented by its dielectric permittivity function e(s). It is assumed that e(s) takes values in the range 1 <= e_1 <= e(s) <= e_2.…

Optimization and Control · Mathematics 2013-02-22 I. M. Karabash

We present measurements of the spatial intensity distribution of localized modes in a two-dimensional open microwave cavity randomly filled with cylindrical dielectric scatterers. We show that each of these modes displays a range of…

Other Condensed Matter · Physics 2007-10-17 David Laurent , Olivier Legrand , Patrick Sebbah , Christian Vanneste , Fabrice Mortessagne

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…

It is shown that for a specific choice of a particular solution of the relativistic wave equation, it falls into the Helmholtz equation and the Klein -Gordon equation. In this case, the squares of the rest masses of the particle with the…

General Physics · Physics 2014-01-27 Vladimir Salomatov

The distributions of the reflection coefficients $P(R)$ for chaotic microwave cavities with time-reversal symmetry are investigated in different absorption and antenna coupling regimes. In all investigated regimes the agreement between the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. A. Mendez-Sanchez , U. Kuhl , M. Barth , C. H. Lewenkopf , H. J. Stoeckmann

We study theoretically and numerically the effect of rotation on resonant frequencies of microcavities in a rotating frame of reference. Cavity rotation causes the shifts of the resonant frequencies proportional to the rotation rate if it…

Optics · Physics 2009-11-13 Satoshi Sunada , Takahisa Harayama

From the measurement of a reflection spectrum of an open microwave cavity the poles of the scattering matrix in the complex plane have been determined. The resonances have been extracted by means of the harmonic inversion method. By this it…

Other Condensed Matter · Physics 2010-06-07 U. Kuhl , R. Hoehmann , J. Main , H. -J. Stoeckmann

We present a quantization procedure for the electromagnetic field in a circular cylindrical cavity with perfectly conducting walls, which is based on the decomposition of the field. A new decomposition procedure is proposed; all vector mode…

Quantum Physics · Physics 2007-05-23 K. Kakazu , Y. S. Kim

In this paper a mathematical model is given for the scattering of an incident wave from a surface covered with microscopic small Helmholtz resonators, which are cavities with small openings. More precisely, the surface is built upon a…

Numerical Analysis · Mathematics 2020-02-03 Habib Ammari , Kthim Imeri

We develop a theoretical method for solving Maxwell's equations to obtain the frequency spectra of inhomogeneous and asymmetric cavity resonators using a couple of effective Debye-type potentials. The structure we study specifically is the…

Computational Physics · Physics 2018-02-05 Z. E. Eremenko , Yu. V. Tarasov , I. N. Volovichev