English
Related papers

Related papers: Correlation functions of scattering matrix element…

200 papers

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 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

Statistical fluctuations in the eigenvalues of the scattering, impedance and admittance matrices of 2-Port wave-chaotic systems are studied experimentally using a chaotic microwave cavity. These fluctuations are universal in that their…

Disordered Systems and Neural Networks · Physics 2009-09-15 Sameer Hemmady , Xing Zheng , James Hart , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

This paper presents an analytical model for the fading channel correlation in general scattering environments. In contrast to the existing correlation models, our new approach treats the scattering environment as non-separable and it is…

Mathematical Physics · Physics 2007-07-13 Tharaka A. Lamahewa , Rodney A. Kennedy , Thushara D. Abhayapala , Terence Betlehem

We use tetrahedral microwave networks consisting of coaxial cables and attenuators connected by T-joints to make an experimental study of Wigner's reaction K matrix for irregular graphs in the presence of absorption. From measurements of…

Chaotic Dynamics · Physics 2009-03-13 Oleh Hul , Oleg Tymoshchuk , Szymon Bauch , Peter M. Koch , Leszek Sirko

Scattering by (a) a single composite scatterer consisting of a concentric arrangement of an outer N-slit rigid cylinder and an inner cylinder which is either rigid or in the form of a thin elastic shell and (b) by a finite periodic array of…

Mathematical Physics · Physics 2011-03-11 Anton Krynkin , Olga Umnova , Alvin Y. B. Chong , Shahram Taherzadeh , Keith Attenborough

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

We theoretically and numerically prove that under an electromagnetic plane wave with linear polarization incident normally to cylindrical passive scatterers, a single energy diagram can integrate absorption, scattering, and extinction cross…

Optics · Physics 2020-12-04 Jeng Yi Lee

Assuming the validity of random matrices for describing the statistics of a closed chaotic quantum system, we study analytically some statistical properties of the S-matrix characterizing scattering in its open counterpart. In the first…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Yan. V. Fyodorov , H. -J. Sommers

This letter presents simple analytical expressions for the spatial and temporal correlation functions in channels with von Mises-Fisher (vMF) scattering. In contrast to previous results, the expressions presented here are exact and based…

Signal Processing · Electrical Eng. & Systems 2024-12-24 Kenan Turbic , Martin Kasparick , Slawomir Stanczak

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

The multichannel generalization of the theory of spectral, scattering and decay control is presented. New universal algorithms of construction of complex quantum systems with given properties are suggested. Particularly, transformations of…

Quantum Physics · Physics 2009-11-07 V. M. Chabanov , B. N. Zakhariev , I. V. Amirkhanov

We consider the statistics of time delay in a chaotic cavity having $M$ open channels, in the absence of time-reversal invariance. In the random matrix theory approach, we compute the average value of polynomial functions of the time delay…

Chaotic Dynamics · Physics 2015-07-21 Marcel Novaes

We present a model for how frequency fluctuations comparable to the total cavity linewidth may arise in tunable and nonlinear microwave cavities, and how these fluctuations affect the measurement of scattering matrix elements. Applying this…

Mesoscale and Nanoscale Physics · Physics 2020-11-13 B. L. Brock , M. P. Blencowe , A. J. Rimberg

Motivated by realistic scattering processes of composite systems, we study the dynamics of a two-particle bound system which is scattered at a mirror. The physics of the scattering process will be discussed in the cases when only one…

Quantum Physics · Physics 2017-01-04 Friedemann Queisser , William G. Unruh

The creation of artificial gauge fields in neutral ultracold atom systems has opened the possibility to study the effects of spin-orbit coupling terms in clean environments. This work considers the multi-channel scattering properties of two…

Atomic Physics · Physics 2018-09-12 Su-Ju Wang , Q. Guan , D. Blume

Reflection of particles from a disordered or chaotic medium is characterized by a scattering matrix that can be represented as a superposition of resonances. Each resonance corresponds to an eigenstate inside the medium and has a width…

Disordered Systems and Neural Networks · Physics 2025-12-23 M. S. Kurilov , P. M. Ostrovsky

High-resolution coherent x-ray diffraction experiment has been performed on the charge density wave (CDW) system K$_{0.3}$MoO$_3$. The $2k_F$ satellite reflection associated with the CDW has been measured with respect to external dc…

Strongly Correlated Electrons · Physics 2025-01-08 D. Le Bolloc'h , V. L. R. Jacques , N. Kirova , J. Dumas , S. Ravy , J. Marcus , F. Livet

Motivated by applications to acoustic imaging, the present work establishes a framework to analyze scattering for the one-dimensional wave, Helmholtz, Schr\"odinger and Riccati equations that allows for coefficients which are more singular…

Analysis of PDEs · Mathematics 2022-02-28 Peter C. Gibson

Superscattering, induced by degenerate resonances, breaks the fundamental single-channel limit of scattering cross section of subwavelength structures; in principle, an arbitrarily large total cross section can be achieved via…

Classical Physics · Physics 2018-12-17 Chao Qian , Xiao Lin , Yi Yang , Xiaoyan Xiong , Huaping Wang , Erping Li , Ido Kaminer , Baile Zhang , Hongsheng Chen