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In this paper, we present a mathematical study of wave scattering by a hard elastic obstacle embedded in a soft elastic body in three dimensions. Our contributions are threefold. First, we characterize subwavelength resonances using the…

Analysis of PDEs · Mathematics 2025-01-14 Bochao Chen , Yixian Gao , Peijun Li , Yuanchun Ren

A scalable mapping system for superconducting RF cavities is presented. Currently, it combines local temperature measurement with 3D magnetic field mapping along the outer surface of the resonator. This allows for the observation of dynamic…

Instrumentation and Detectors · Physics 2018-05-23 B. Schmitz , J. Köszegi , K. Alomari , O. Kugeler , J. Knobloch

A theoretical investigation is made of acoustic wave propagation in a periodically stubbed waveguide. In general the waveguide segments and stubs are made of different materials. The acoustic wave in such a system has two independent…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 X. F. Wang , M. S. Kushwaha , P. Vasilopoulos

Surface deformations of optical cavities and plasmonic nanoparticles are inevitable in nanophotonics. The random morphology changes of different realizations modify the associated resonance frequencies and quality factors, which may be…

We obtained an unprecedentedly large number of s-wave neutron widths through R-matrix analysis of neutron cross-section measurements on enriched Pt samples. Careful analysis of these data rejects the validity of the Porter-Thomas…

Nuclear Experiment · Physics 2014-11-21 P. E. Koehler , F. Bečvář , M. Krtička , J. A. Harvey , K. H. Guber

Abstract We study the temperature dependence of the absorption of microwaves by random-anisotropy magnets. It is governed by strong metastability due to the broad distribution of energy barriers separating different spin configurations. At…

Materials Science · Physics 2025-02-14 D. A. Garanin , E. M. Chudnovsky

We consider an application of a general theory for cavities with point-like perturbations for a rectangular shape. Hereby we concentrate on experimental wave patterns obtained for nearly degenerate states. The nodal lines in these patterns…

Chaotic Dynamics · Physics 2015-05-20 T. Tudorovskiy , U. Kuhl , H-J. Stoeckmann

Applications of cavity optomechanics span from gravitational wave detection to the study of quantum motion states in mesoscopic mechanical systems. The engineering of resonators supporting strongly interacting mechanical and optical modes…

We present a multimode laser-linewidth theory for arbitrary cavity structures and geometries that contains nearly all previously known effects and also finds new nonlinear and multimode corrections, e.g. a bad-cavity correction to the Henry…

We show that for a general system of N s-wave point scatterers, there are always N eigenmodes. These eigenmodes or eigenchannels play the same role as spherical harmonics for a spherically symmetric target--they give a phase shift only. In…

Atomic Physics · Physics 2007-05-23 Sheng Li , Eric J. Heller

Silicon photonic ring resonator thermometers have been shown to provide temperature measurements with a 10 mK accuracy. In this work we identify and quantify the intrinsic on-chip impairments that may limit further improvement in…

We propose a new approach to detailed balance violation in electrical circuits by relying on the scattering matrix formalism commonly used in microwave electronics. This allows to include retardation effects which are paramount at high…

Mesoscale and Nanoscale Physics · Physics 2024-03-27 Alexandre Dumont , Pierre Février , Christian Lupien , Bertrand Reulet

The linear response conductance coefficients are calculated in the scattering approach at finite frequency, damping and magnetic field for a microstructure in which the reservoirs are modeled as quantum wire leads of infinite length but…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Jens U. Noeckel , Klaus Richter

Subwavelength resonance is a vital acoustic phenomenon in contrasting media. The narrow bandgap width of single-layer resonator has prompted the exploration of multi-layer metamaterials as an effective alternative, which consist of…

Mathematical Physics · Physics 2024-11-15 Youjun Deng , Lingzheng Kong , Hongjie Li , Hongyu Liu , Liyan Zhu

In the standard cosmological model, the temperature anisotropy of the cosmic microwave background is interpreted as variation in the gravitational potential at the point of emission, due to the emitter being embedded in a region ${\cal C}$…

Astrophysics · Physics 2007-05-23 Richard Lieu

The regularities of narrow-band resonance in a two-layer circular waveguide due to the radiation of the bunch, moving along its axis are investigated. Its connection with the synchronous component of a two-layer TM01 mode of the waveguide…

Accelerator Physics · Physics 2013-02-04 M. Ivanyan , V. Tsakanov , A. Grigoryan , A. Tsakanian

We present a model for how frequency fluctuations comparable to the total cavity linewidth may arise in tunable and nonlinear microwave cavities, and how these fluctuations affect the measurement of scattering matrix elements. Applying this…

Mesoscale and Nanoscale Physics · Physics 2020-11-13 B. L. Brock , M. P. Blencowe , A. J. Rimberg

We solve the wave equation with periodically time-modulated material parameters in a one-dimensional high-contrast resonator structure in the subwavelength regime exactly, for which we compute the subwavelength quasifrequencies numerically…

Analysis of PDEs · Mathematics 2024-01-04 Habib Ammari , Jinghao Cao , Erik Orvehed Hiltunen , Liora Rueff

The cavity perturbation technique is an extremely powerful method for measuring the electrodynamic response of a material in the millimeter- and sub-millimeter spectral range (10 GHz to 1 THz), particularly in the case of…

Other Condensed Matter · Physics 2007-05-23 Susumu Takahashi , Stephen Hill

The Ward identities of the $W_{\infty}$ symmetry in 2D string theory in the tachyon background are studied in the continuum approach. Comparing the solutions with the matrix model results, it is verified that 2D string amplitudes are…

High Energy Physics - Theory · Physics 2007-05-23 Ken-ji Hamada