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The statistics of scattering of waves inside single ray-chaotic enclosures have been successfully described by the Random Coupling Model (RCM). We expand the RCM to systems consisting of multiple complex ray-chaotic enclosures with variable…

The Random Coupling Model (RCM) is a statistical approach for studying the scattering properties of linear wave chaotic systems in the semi-classical regime. Its success has been experimentally verified in various over-moded wave settings,…

Classical Physics · Physics 2019-03-11 Min Zhou , Edward Ott , Thomas M. Antonsen, , Steven M. Anlage

The Random Coupling Model (RCM) has been successfully applied to predicting the statistics of currents and voltages at ports in complex electromagnetic (EM) enclosures operating in the short wavelength limit. Recent studies have extended…

In this review, a model (the Random Coupling Model) that gives a statistical description of the coupling of radiation into and out of large enclosures through localized and/or distributed channels is presented. The Random Coupling Model…

Chaotic Dynamics · Physics 2013-03-27 Gabriele Gradoni , Jen-Hao Yeh , Bo Xiao , Thomas M. Antonsen , Steven M. Anlage , Edward Ott

Concepts from the field of wave chaos have been shown to successfully predict the statistical properties of linear electromagnetic fields in electrically large enclosures. The Random Coupling Model (RCM) describes these properties by…

Chaotic Dynamics · Physics 2017-10-16 Min Zhou , Edward Ott , Thomas M. Antonsen , Steven M. Anlage

Electromagnetic (EM) wave scattering in electrically large, irregularly shaped, environments is a common phenomenon. The deterministic, or first principles, study of this process is usually computationally expensive and the results exhibit…

Adaptation and Self-Organizing Systems · Physics 2023-06-21 Shukai Ma , Thomas M. Antonsen , Steven M. Anlage

Random matrix theory (RMT) successfully predicts universal statistical properties of complicated wave scattering systems in the semiclassical limit, while the random coupling model offers a complete statistical model with a simple additive…

Combining tunable metasurfaces with chaotic cavities opens new avenues for finely tailored dynamic control of microwaves with programmable coding metacavities (PCMs). There is currently a strong interest in utilizing PCMs to overcome the…

Applied Physics · Physics 2020-04-28 Philipp del Hougne , Matthieu Davy , Ulrich Kuhl

Scattering of electromagnetic waves in billiard-like systems has become a standard experimental tool of studying properties associated with Quantum Chaos. Random Matrix Theory (RMT) describing statistics of eigenfrequencies and associated…

Disordered Systems and Neural Networks · Physics 2021-05-11 Yan V Fyodorov

Wave chaotic systems underpin a wide range of research activities, from fundamental studies of quantum chaos via electromagnetic compatibility up to more recently emerging applications like microwave imaging for security screening, antenna…

Applied Physics · Physics 2020-07-01 Jean-Baptiste Gros , Philipp del Hougne , Geoffroy Lerosey

We discuss a model for studying the statistical properties of the impedance ($Z$) and scattering ($S$) matrices of open electromagnetic cavities with several transmission lines or waveguides connected to the cavity. In this paper, we mainly…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Xing Zheng , Thomas M. Antonsen , Edward Ott

We consider the efficiency of multiplexing spatially encoded information across random configurations of a metasurface-programmable chaotic cavity in the microwave domain. The distribution of the effective rank of the channel matrix is…

Applied Physics · Physics 2020-08-05 Philipp del Hougne , Dmitry V. Savin , Olivier Legrand , Ulrich Kuhl

Physical reservoir computing (RC) is a machine learning algorithm that employs the dynamics of a physical system to forecast highly nonlinear and chaotic phenomena. In this paper, we introduce a quantum RC system that employs the dynamics…

Neural and Evolutionary Computing · Computer Science 2024-03-05 A. H. Abbas , Ivan S. Maksymov

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

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

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

Linear electromagnetic wave scattering systems can be characterized by an impedance matrix that relates the voltages and currents at the ports of the system. When the system size becomes greater than the wavelength of the fields involved,…

Chaotic Dynamics · Physics 2026-01-29 Nadav Shaibe , Jared Erb , Thomas M. Antonsen , Steven M. Anlage

We develop the theory of a special type of scattering state in which a set of asymptotic channels are chosen as inputs and the complementary set as outputs, and there is zero reflection back into the input channels. In general an infinite…

Optics · Physics 2020-12-09 William R. Sweeney , Chia Wei Hsu , A. Douglas Stone

A sensor was developed to quantitatively measure perturbations which change the volume of a wave chaotic cavity while leaving its shape intact. The sensors work in the time domain by using either scattering fidelity of the transmitted…

We propose a model to describe the statistical properties of wave scattering through a classically chaotic cavity in the presence of surface absorption. Experimentally, surface absorption could be realized by attaching an "absorbing patch"…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Martinez-Mares , P. A. Mello

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
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