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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

Symmetry reduced three-disk and five-disk systems are studied in a microwave setup. Using harmonic inversion the distribution of the imaginary parts of the resonances is determined. With increasing opening of the systems, a spectral gap is…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 S. Barkhofen , T. Weich , A. Potzuweit , H. -J. Stoeckmann , U. Kuhl , M. Zworski

We experimentally study the various manifestations of ohmic losses in a two-dimensional microwave chaotic cavity and exhibit two different contributions to the resonance widths. We show that the parts of these widths, which vary from mode…

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

We connect quantum compact graphs with infinite leads, and turn them into scattering systems. We derive an exact expression for the scattering matrix, and explain how it is related to the spectrum of the corresponding closed graph. The…

Chaotic Dynamics · Physics 2007-05-23 Tsampikos Kottos , Holger Schanz

Propagation losses in micro-ring resonator waveguides can be determined from the shape of individual resonances in their transmission spectrum. The losses are typically extracted by fitting these resonances to an idealized model that is…

Optics · Physics 2017-05-02 Orad Reshef , Michael G. Moebius , Eric Mazur

Recent measurements of resonance widths for low-energy neutron scattering off heavy nuclei show large deviations from the standard Porter-Thomas distribution. We propose a new resonance width distribution based on the random matrix theory…

Nuclear Theory · Physics 2012-10-09 Gavriil Shchedrin , Vladimir Zelevinsky

The scattering matrix was measured for microwave cavities with two antennas. It was analyzed in the regime of overlapping resonances. The theoretical description in terms of a statistical scattering matrix and the rescaled Breit-Wigner…

Chaotic Dynamics · Physics 2009-11-07 R. Schaefer , T. Gorin , T. H. Seligman , H. -J. Stoeckmann

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

This paper addresses the inverse problem of qualitatively recovering a clamped cavity in a thin elastic plate using far-field measurements. We present a strengthened analysis of the linear sampling method by carefully examining the range of…

Analysis of PDEs · Mathematics 2025-09-04 Isaac Harris , Peijun Li , General Ozochiawaeze

Microcavity inhomogeneous line widths are calculated numerically using a microscopic two dimensional model of the polariton interaction with quantum well disorder. The calculations show show that in most structures the line widths are…

Condensed Matter · Physics 2016-08-31 D. M. Whittaker

Axion haloscope detectors require high-$Q$ cavities with tunable TM$_{010}$ modes whose resonant electric field occupies as much of the full volume of the cavity as possible. An analytical study of the effects of longitudinal symmetry…

Instrumentation and Detectors · Physics 2019-11-12 I. Stern , G. Carosi , N. S. Sullivan , D. B. Tanner

Thick biological tissues give rise to not only the scattering of incoming light waves, but also aberrations of the remaining unscattered waves. Due to the inability of existing optical imaging methodologies to overcome both of these…

This paper aims at providing a small-volume expansion framework for the scattering resonances of an open cavity perturbed by small particles. The induced shift of the scattering frequencies by the small particles is derived without…

Mathematical Physics · Physics 2018-10-26 Habib Ammari , Alexander Dabrowski , Brian Fitzpatrick , Pierre Millien

Superconducting resonators are now found in a broad range of applications that require high-fidelity measurement of low-energy signals. A common feature across almost all of these applications is the need for increased numbers of resonators…

Superconductivity · Physics 2022-04-01 J. Li , P. S. Barry , Z. Pan , C. Albert , T. Cecil , C. L. Chang , K. Dibert , M. Lisovenko , V. Yefremenko

The existence of phase resonances in obliquely illuminated, perfectly conducting compound gratings is investigated. The diffraction problem of a p-polarized plane wave impinging on the structure is solved using the modal approach. The…

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 demonstrate in microwave measurements the broadband enhancement of transmission through an opaque barrier due to mirror symmetry. This enhancement relies on constructive interference between mirror scattering paths resulting from strong…

Disordered Systems and Neural Networks · Physics 2021-11-16 Matthieu Davy , Clément Ferise , Elie Chéron , Simon Félix , Vincent Pagneux

The diffraction problem of a plane wave impinging on a grating formed by nested cavities is solved by means of the modal method, for $s$ and $p$ polarization modes. The cavities are formed by perfectly conducting sheets that describe…

Optics · Physics 2009-11-10 Angela N. Fantino , Susana I. Grosz , Diana C. Skigin

We present a solution method which combines the method of matched asymptotics with the method of multipole expansions to determine the band structure of cylindrical Helmholtz resonators arrays in two dimensions. The resonator geometry is…

Fluid Dynamics · Physics 2022-02-22 M. J. A. Smith , I. D. Abrahams

We propose a model for scattering in a flat resonator with a thin antenna. The results are applied to rectangular microwave cavities. We compute the resonance spacing distribution and show that it agrees well with experimental data provided…

Quantum Physics · Physics 2009-10-30 P. Exner , P. Šeba
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