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In a two-dimensional microwave chaotic cavity ohmic losses located at the contour of the cavity result in different broadenings of different modes. We provide an analytic description and establish the link between such an inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. V. Savin , O. Legrand , F. Mortessagne

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

In this letter, we demonstrate that a non-Hermitian Random Matrix description can account for both spectral and spatial statistics of resonance states in a weakly open chaotic wave system with continuously distributed losses. More…

Statistical Mechanics · Physics 2010-11-18 Charles Poli , Olivier Legrand , Fabrice Mortessagne

We present an experimental and numerical study of missing-level statistics of chaotic three-dimensional microwave cavities. The nearest-neighbor spacing distribution, the spectral rigidity, and the power spectrum of level fluctuations were…

Classical Physics · Physics 2018-10-29 Vitalii Yunko , Małgorzata Białous , Szymon Bauch , Michał Ławniczak , Leszek Sirko

We report non-invasive measurements of the complex field of elastic quasimodes of a silicon wafer with chaotic shape. The amplitude and phase spatial distribution of the flexural modes are directly obtained by Fourier transform of time…

Other Condensed Matter · Physics 2009-09-07 Olivier Xeridat , Charles Poli , Olivier Legrand , Fabrice Mortessagne , Patrick Sebbah

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 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

We consider the statistics of the impedance of a chaotic microwave cavity coupled to a single port. We remove the non-universal effects of the coupling from the experimental data using the radiation impedance obtained directly from the…

Chaotic Dynamics · Physics 2007-05-23 Sameer Hemmady , Xing Zheng , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

The mathematical equivalence of the time-independent Schrodinger equation and the Helmholtz equation is exploited to provide a novel means of studying universal conductance fluctuations in ballistic chaotic mesoscopic systems using a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Sameer Hemmady , James Hart , Xing Zheng , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

Wavefunctions in chaotic and disordered quantum billiards are studied experimentally using thin microwave cavities. The chaotic wavefunctions display universal density distributions and density auto-correlations in agreement with…

chao-dyn · Physics 2016-08-31 A. Kudrolli , V. Kidambi , S. Sridhar

We conjecture that chaotic resonance modes in scattering systems are a product of a conditionally invariant measure from classical dynamics and universal exponentially distributed fluctuations. The multifractal structure of the first factor…

Optics · Physics 2022-11-18 Roland Ketzmerick , Konstantin Clauß , Felix Fritzsch , Arnd Bäcker

Recently, it has been shown that the change of resonance widths in an open system under a perturbation of its interior is a sensitive indicator of the nonorthogonality of resonance states. We apply this measure to quantify parametric motion…

Quantum Physics · Physics 2013-12-19 D. V. Savin , J. -B. De Vaulx

Distributions of eigenmodes are widely concerned in both bounded and open systems. In the realm of chaos, counting resonances can characterize the underlying dynamics (regular vs. chaotic), and is often instrumental to identify…

An analytical solution of the Helmholtz equation for electromagnetic field distribution in a resonant cavity with elliptic cross-section is found. We compare the frequencies of the eigenmodes with numerical and experimental values for a…

Classical Physics · Physics 2019-11-22 Mihael S. Grbić

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

We present experimental and numerical studies of broad-area semiconductor lasers with chaotic ray dynamics. The emission intensity distributions at the cavity boundaries are measured and compared to ray tracing simulations and numerical…

Optics · Physics 2020-08-06 Stefan Bittner , Kyungduk Kim , Yongquan Zeng , Qi Jie Wang , Hui Cao

We consider an open (scattering) quantum system under the action of a perturbation of its closed counterpart. It is demonstrated that the resulting shift of resonance widths is a sensitive indicator of the non-orthogonality of resonance…

Mesoscale and Nanoscale Physics · Physics 2012-05-04 Y. V. Fyodorov , D. V. Savin

We investigate the statistical properties of wavefunctions in an open chaotic cavity. When the number of channels in the openings of the billiard is increased by varying the frequency, wavefunctions cross over from real to complex. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Y. -H. Kim , U. Kuhl , H. -J. Stöckmann , P. W. Brouwer

It is shown that, even when the eigenmodes of an optical cavity are wave-chaotic, the frequency splitting due to the rotation of the cavity occurs and the frequency difference is proportional to the angular velocity although the splitting…

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

The influence of a small perturbation on a cavity mode plays an important role in fields like optical sensing, cavity quantum electrodynamics and cavity optomechanics. Typically, the resulting cavity frequency shift directly relates to the…

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