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In a communication scheme, there exist points at the transmitter and at the receiver where the wave is reduced to a finite set of functions of time which describe amplitudes and phases. For instance, the information is summarized in…

Data Analysis, Statistics and Probability · Physics 2014-11-20 Bernard Lacaze

We show in microwave experiments and random matrix calculations that in samples with a large number of channels the statistics of transmission for different incident channels relative to the average transmission is determined by a single…

Optics · Physics 2015-06-15 Matthieu Davy , Zhou Shi , Jing Wang , Azriel Z. Genack

We consider a diffusion process under a local weak H\"{o}rmander condition on the coefficients. We find Gaussian estimates for the density in short time and exponential lower and upper bounds for the probability that the diffusion remains…

Probability · Mathematics 2016-10-12 Paolo Pigato

For over 70 years it has been assumed that scalar wave propagation in (ensemble-averaged) random particulate materials can be characterised by a single effective wavenumber. Here, however, we show that there exist many effective…

Classical Physics · Physics 2019-08-13 Artur Lewis Gower , William J. Parnell , Ian David Abrahams

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…

Analytical study of the distribution of phase of the transmission coefficient through 1D disordered absorbing system is presented. The phase is shown to obey approximately Gaussian distribution. An explicit expression for the variance is…

Disordered Systems and Neural Networks · Physics 2009-10-28 V. Freilikher , M. Pustilnik

The fluctuating two-ray (FTR) fading model provides a much better fit than other fading models for small-scale fading measurements in millimeter wave communications. In this paper, using a mixture of gamma distributions, new exact…

Information Theory · Computer Science 2017-10-26 Jiayi Zhang , Wen Zeng , Xu Li , Qiang Sun , Kostas P. Peppas

We investigate the propagation of waves in one-dimensional systems with L\'evy-type disorder. We perform a complete analysis of non-relativistic and relativistic wave transmission submitted to potential barriers whose width, separation or…

Mesoscale and Nanoscale Physics · Physics 2022-11-15 Anderson L. R. Barbosa , Jonas R. F. Lima , Luiz Felipe C. Pereira

We study dynamical properties of bouncing particles inside of channels with sinusoidal walls. Taking as parameters the amplitude and the phases between the walls we study the transmitivity and its dependence on these parameters. We find an…

Chaotic Dynamics · Physics 2007-05-23 Ivan Herrera , Alberto Mendoza , Eduardo S. Tututi

The problem of diffraction of a waveguide mode by a thin Neumann screen is considered. The incident mode is assumed to have frequency close to the cut-off. The problem is reduced to a propagation problem on a branched surface and then is…

Analysis of PDEs · Mathematics 2015-12-24 Andrey V. Shanin , Andrey I. Korolkov

The statistical properties of the conductance of one dimensional disordered systems are studied at finite bias voltage V and temperature T, in an independent-electron picture. We calculate the complete distribution of the conductance P(G)…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Victor A. Gopar , Peter Woelfle

Atomic quantum point contacts accommodate a small number of conduction channels. Their number N and transmission coefficients {T_n} can be determined by analyzing the subgap structure due to multiple Andreev reflections in the…

Superconductivity · Physics 2009-10-31 E. Scheer , J. C. Cuevas , A. Levy Yeyati , A. Martin-Rodero , P. Joyez , M. H. Devoret , D. Esteve , C. Urbina

We study the propagation of radiation through a disordered waveguide with a complex dielectric constant $\epsilon$, and show that dual systems, which differ only in the sign of the imaginary part of $\epsilon$, have the same localization…

Condensed Matter · Physics 2008-02-03 J. C. J. Paasschens , T. Sh. Misirpashaev , C. W. J. Beenakker

We study transmission and reflection properties of a perfectly amplifying as well as absorbing medium analytically by using the tight binding equation. Different expressions for transmittance and reflectance are obtained for even and odd…

Condensed Matter · Physics 2009-10-31 P. K. Datta

We employ a silicon dielectric waveguide to confine and concentrate terahertz pulses, and observe that the absorption saturates under strong terahertz fields. By comparing the response between lightly-doped and intrinsic silicon waveguides,…

Materials Science · Physics 2015-03-20 Shanshan Li , Gagan Kumar , Thomas E. Murphy

We calculate the distribution of the conductance G in a one-dimensional disordered wire at finite temperature T and bias voltage V in a independent-electron picture and assuming full coherent transport. At high enough temperature and bias…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F. Foieri , M. J. Sanchez , L. Arrachea , V. A. Gopar

We consider a generalised Webster's equation for describing wave propagation in curved tubular structures such as variable diameter acoustic wave guides. Webster's equation in generalised form has been rigorously derived in a previous…

Analysis of PDEs · Mathematics 2014-05-29 Teemu Lukkari , Jarmo Malinen

The shape of experimentally observed R(T) transition of thin superconducting wires is analyzed. Broadening of the transition in quasi-1-dimensional superconducting channels is typically associated with phase slip mechanism provided by…

Superconductivity · Physics 2009-04-07 M. Zgirski , K. Yu. Arutyunov

Investigations into the propagation characteristics, specifically loss and wave velocity, of superconducting coplanar waveguides and microstrip lines were conducted at a 2 mm wavelength. This was achieved through the measurement of on-chip…

Instrumentation and Methods for Astrophysics · Physics 2024-03-20 Wenlei Shan , Sohei Ezaki

A random distribution of poroelastic spheres in a poroelastic medium obeying Biot's theory is considered. The scattering coefficients of the fast and the slow waves are computed in the low frequency limit using the sealed pore boundary…

Soft Condensed Matter · Physics 2025-01-22 Dossou Gnadjro , Amah Séna d'Almeida