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We present the results of experimental and numerical study of the distribution of the reflection coefficient P(R) and the distributions of the imaginary P(v) and the real P(u) parts of the Wigner's reaction K matrix for irregular fully…

Chaotic Dynamics · Physics 2009-03-19 Michal Lawniczak , Oleh Hul , Szymon Bauch , Petr Seba , Leszek Sirko

We report on experimental studies of the distribution of the reflection coefficients, and the imaginary and real parts of Wigner's reaction (K) matrix employing open microwave networks with symplectic symmetry and varying size of…

We present the results of experimental and theoretical study of irregular, tetrahedral microwave networks consisting of coaxial cables (annular waveguides) connected by T-joints. The spectra of the networks were measured in the frequency…

Chaotic Dynamics · Physics 2009-11-10 Oleh Hul , Szymon Bauch , Prot Pakonski , Nazar Savytskyy , Karol Zyczkowski , Leszek Sirko

Using the Random Matrix Theory approach we derive explicit distributions of the real and imaginary parts for off-diagonal entries of the Wigner reaction matrix $\mathbf{K}$ for wave chaotic scattering in systems with and without…

Statistical Mechanics · Physics 2020-06-24 Sirio Belga Fedeli , Yan V Fyodorov

We present an extensive experimental study of the distributions of the real and imaginary parts of the off-diagonal elements of the scattering matrix $\hat S$ and the Wigner's reaction $\hat K$-matrix for open microwave networks with broken…

Quantum Physics · Physics 2020-12-30 Michał Ławniczak , Bart van Tiggelen , Leszek Sirko

The influence of absorption on the spectra of microwave graphs has been studied experimentally. The microwave networks were made up of coaxial cables and T junctions. First, absorption was introduced by attaching a 50 Ohm load to an…

Chaotic Dynamics · Physics 2014-04-01 M. Allgaier , S. Gehler , S. Barkhofen , H. -J. Stöckmann , U. Kuhl

In an absorptive system the Wigner reaction $K-$matrix (directly related to the impedance matrix in acoustic or electromagnetic wave scattering) is non-selfadjoint, hence its eigenvalues are complex. The most interesting regime arises when…

Disordered Systems and Neural Networks · Physics 2023-08-11 Yan V. Fyodorov

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

We report on experimental studies of the distribution of the off-diagonal elements of the scattering matrix of open microwave networks with symplectic symmetry and a chaotic wave dynamics. These consist of two geometrically identical…

Quantum Physics · Physics 2026-01-21 Jiongning Che , Nils Gluth , Simon Köhnes , Thomas Guhr , Barbara Dietz

We investigate properties of the transmission amplitude of quantum graphs and microwave networks composed of regular polygons such as triangles and squares. We show that for the graphs composed of regular polygons with the edges of the…

Quantum Physics · Physics 2024-02-21 Afshin Akhshani , Małgorzata Białous , Leszek Sirko

The delay experienced by a probe due to interactions with a scattering media is highly related to the internal dynamics inside that media. This property is well captured by the Wigner delay time and the resonance widths. By the use of the…

Disordered Systems and Neural Networks · Physics 2025-04-25 K. B. Hidalgo-Castro , L. A. Razo-López , A. M. Martínez-Argüello , J. A. Méndez-Bermúdez

We report on high-precision measurements that were performed with superconducting waveguide networks with the geometry of a tetrahedral and a honeycomb graph. They consist of junctions of valency three that connect straight rectangular…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Barbara Dietz , Tobias Klaus , Marco Masi , Maksym Miski-Oglu , Achim Richter , Tatjana Skipa , Marcus Wunderle

We study the propagation of high-frequency electromagnetic waves in randomly heterogeneous bianisotropic media with dissipative properties. For that purpose we consider randomly fluctuating optical responses of such media with correlation…

Mathematical Physics · Physics 2024-03-12 Jean-Luc Akian , Éric Savin

We exploit millimeter wave technology to measure the reflection and transmission response of random dielectric media. Our samples are easily constructed from random stacks of identical, sub-wavelength quartz and Teflon wafers. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 John A. Scales , L. D. Carr , D. B. McIntosh , Valentin Freilikher , Yu. P. Bliokh

Theoretical study of arrays of graphene ribbons is currently of high interest due to its potential application in beam splitters, absorbers, and polarizers. In this paper, an analytical method is presented for diffraction analysis of…

Optics · Physics 2020-11-03 Mahdi Rahmanzadeh , Amin Khavasi , Behzad Rejaei

So far, numerous learned models have been pressed to use in microwave imaging problems. These models however, are oblivious to the imaging geometry. It has always been hard to bake the physical setup of the imaging array into the structure…

Machine Learning · Computer Science 2021-08-12 A. Al-Saffar , L. Guo , A. Abbosh

Can one hear the shape of a graph? This is a modification of the famous question of Mark Kac "Can one hear the shape of a drum?" which can be asked in the case of scattering systems such as quantum graphs and microwave networks. It…

Optics · Physics 2014-05-07 Michal Lawniczak , Adam Sawicki , Szymon Bauch , Marek Kus , Leszek Sirko

The famous question of Mark Kac "Can one hear the shape of a drum?" addressing the unique connection between the shape of a planar region and the spectrum of the corresponding Laplace operator can be legitimately extended to scattering…

Quantum Physics · Physics 2012-07-27 Oleh Hul , Michał Ławniczak , Szymon Bauch , Adam Sawicki , Marek Kuś , Leszek Sirko

We consider an inverse scattering problem to identify the locations or shapes of unknown anomalies from scattering parameter data collected by a small number of dipole antennas. Most of researches does not considered the influence of dipole…

Numerical Analysis · Mathematics 2018-09-18 Won-Kwang Park

We theoretically study the optical absorption property of twisted bilayer graphenes with various stacking geometries, and demonstrate that the spectroscopic characteristics serve as a fingerprint to identify the rotation angle between two…

Mesoscale and Nanoscale Physics · Physics 2013-05-21 Pilkyung Moon , Mikito Koshino
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