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We describe a unified classical approach for analyzing the scattering coefficients of superconducting microwave resonators with a variety of geometries. To fill the gap between experiment and theory, we also consider the influences of small…

The potential capabilities of resonators based on two dimensional arrays of re-entrant posts is demonstrated. Such posts may be regarded as magnetically-coupled lumped element microwave harmonic oscillators, arranged in a 2D lattices…

Quantum Physics · Physics 2015-11-25 Maxim Goryachev , Michael E. Tobar

We theoretically study the interaction between dual cavity modes in a planar photonic microcavity structure in the optical communication wavelength range. The merging and splitting of cavity mode is analyzed with realistic microcavity…

Optics · Physics 2014-12-01 Elizabeth Noble , Rajesh V. Nair , B. N. Jagatap

This paper presents a detailed analysis of uncertainty matrices (i.e. measurement covariance matrices) associated with multiple complex-valued microwave scattering S-parameter measurements. The analysis is based on forming combinations of…

Instrumentation and Detectors · Physics 2018-09-20 Nick M. Ridler , Martin J. Salter

The need of mathematically formulate relations between composite materials' properties and its resonance response is growing. This is due the fast technological advancement in micro-material manufacturing, present in chips for instance. In…

Mathematical Physics · Physics 2022-05-03 Taoufik Meklachi

We derive a simple formula for the width of a multi-channel resonance state. To this end, we use a deformed square-well potential and solve the coupled-channels equations. We obtain the $S$-matrix in the Breit-Wigner form, from which…

Nuclear Theory · Physics 2019-12-06 K. Hagino , H. Sagawa , S. Kanaya , A. Odahara

We theoretically study the width of the s-wave confinement-induced resonance (CIR) in quasi-one-dimensional atomic gases under tunable transversely anisotropic confinement. We find that the width of the CIR can be tuned by varying the…

Quantum Gases · Physics 2017-11-27 Fang Qin , Jian-Song Pan , Su Wang , Guang-Can Guo

We demonstrate how heating of an environment can invert the line shape of a driven cavity. We consider a superconducting coplanar cavity coupled to multiple artificial atoms. The measured cavity transmission is characterized by Fano-type…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Juha Leppäkangas , Jan David Brehm , Ping Yang , Lingzhen Guo , Michael Marthaler , Alexey V. Ustinov , Martin Weides

The distortion from massive MIMO (multiple-input--multiple-output) base stations with nonlinear amplifiers is studied and its radiation pattern is derived. The distortion is analyzed both in-band and out-of-band. By using an orthogonal…

Information Theory · Computer Science 2018-05-04 Christopher Mollén , Ulf Gustavsson , Thomas Eriksson , Erik G. Larsson

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 consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 1 + 1 dimensions due to crossing symmetry and unitarity. In this way we establish rigorous bounds on the cubic couplings of a given theory with…

High Energy Physics - Theory · Physics 2018-01-17 Miguel F. Paulos , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

In this work, using the scattering matrix method, we have investigated the transmission coefficients and the thermal conductivity in a double-bend waveguide structure. The transmission coefficients show strong resonances due to the…

Mesoscale and Nanoscale Physics · Physics 2007-10-05 Yi Ming , Zhexian Wang , Zejun Ding

We evaluate the exact dipole coupling strength between a single emitter and the radiation field within an optical cavity, taking into account the effects of multilayer dielectric mirrors. Our model allows one to freely vary the resonance…

Quantum Physics · Physics 2021-04-21 Astghik Saharyan , Juan-Rafael Álvarez , Thomas H. Doherty , Axel Kuhn , Stéphane Guerin

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

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 concept of fidelity decay is discussed from the point of view of the scattering matrix, and the scattering fidelity is introduced as the parametric cross-correlation of a given S-matrix element, taken in the time domain, normalized by…

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

A theoretical study of free space coupling to high-Q whispering gallery modes both in circular and deformed microcavities are presented. In the case of a circular cavity, both analytical solutions and asymptotic formulas are derived. The…

Recently discovered modulations of Shubnikov-de Haas oscillations in microwave-irradiated two-dimensional electron systems are shown to arise from electron heating induced by the radiation. The electron temperature, obtained by balancing…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 X. L. Lei , S. Y. Liu

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 present an experimental demonstration of sound absorption tailorability, using acoustic metamaterials made of resonant cavities that does not rely on any dissipative material. As confirmed by numerical calculation, we particularly show…

Applied Physics · Physics 2018-11-14 Aliyasin Elayouch , Mahmoud Addouche , Abdelkrim Khelif