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Related papers: Transport through waveguides with surface disorder

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The reflection and transmission amplitudes of waves in disordered multimode waveguides are studied by means of numerical simulations based on the invariant embedding equations. In particular, we analyze the influence of surface-type…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. A. Sanchez-Gil , V. Freilikher , A. A. Maradudin , I. Yurkevich

We quantify the presence of direct processes in the S-matrix of chaotic microwave cavities with absorption in the one-channel case. To this end the full distribution P_S(S) of the S-matrix, i.e. S=\sqrt{R}e^{i\theta}, is studied in cavities…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 U. Kuhl , M. Martinez-Mares , R. A. Mendez-Sanchez , H. -J. Stoeckmann

The problem of chaotic scattering in presence of direct processes or prompt responses is mapped via a transformation to the case of scattering in absence of such processes for non-unitary scattering matrices, \tilde S. In the absence of…

Mesoscale and Nanoscale Physics · Physics 2008-04-17 V. A. Gopar , M. Martinez-Mares , R. A. Mendez-Sanchez

Exact calculations of transmission and reflection coefficients in surface randomly corrugated optical waveguides are presented. As the length of the corrugated part of the waveguide increases, there is a strong preference to forward…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Garcia-Martin , J. A. Torres , J. J. Saenz , M. Nieto-Vesperinas

We discuss the connection between the random matrix approach to disordered wires and the Calogero-Sutherland models. We show that different choices of random matrix ensembles correspond to different classes of CS models. In particular, the…

Condensed Matter · Physics 2009-10-28 M. Caselle

By the use of the effective non-Hermitian Hamiltonian approach to scattering we study the distribution of the scattering matrix (S-matrix) poles in one-dimensional (1D) models with various types of diagonal disorder. We consider the case of…

Disordered Systems and Neural Networks · Physics 2018-10-16 I. F. Herrera-González , J. A. Méndez-Bermúdez , F. M. Izrailev

We calculate the distribution of the conductance P(g) for a quasi-one-dimensional system in the metal to insulator crossover regime, based on a recent analytical method valid for all strengths of disorder. We show the evolution of P(g) as a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Victor A. Gopar , K. A. Muttalib , P. Wölfle

We present a field-theoretic framework to characterize the distribution of transmission eigenvalues for coherent wave propagation through disordered media. The central outcome is a transport equation for a matrix-valued radiance, analogous…

Mathematical Physics · Physics 2025-07-21 David Gaspard , Arthur Goetschy

We study quantum transport properties of finite periodic quasi-one-dimensional waveguides whose classical dynamics is diffusive. The system we consider is a scattering configuration, composed of a finite periodic chain of $L$ identical…

Statistical Mechanics · Physics 2012-01-18 Jaime Zuñiga Vukusich

We investigate the effect of surface disorder on the chiral surface states of a three-dimensional quantum Hall system. Utilizing a transfer-matrix method, we find that the localization length of the surface state along the magnetic field…

Mesoscale and Nanoscale Physics · Physics 2021-02-09 Chao Zheng , Kun Yang , Xin Wan

We study the transport properties of disordered two-dimensional electron systems with a perfectly conducting channel. We introduce an asymmetric Chalker-Coddington network model and numerically investigate the point-contact conductance. We…

Mesoscale and Nanoscale Physics · Physics 2009-07-27 Koji Kobayashi , Tomi Ohtsuki , Keith Slevin

We develop a systematic perturbative method to obtain analytic solution of the Generalized Dorokhov-Mello-Pereyra-Kumar (DMPK) equation in the strongly disordered regime which describes the evolution of the joint probability distribution of…

Disordered Systems and Neural Networks · Physics 2010-07-09 Andrew Douglas Khandker Muttalib

We analyze and develop numerical methods for time-harmonic wave scattering in metallic waveguide structures of infinite extent. We show that radiation boundary conditions formulated via projectors onto outgoing modes determine the…

Numerical Analysis · Mathematics 2025-09-26 Tristan Goodwill , Shidong Jiang , Manas Rachh , Kosuke Sugita

General dynamical transport of classical particles in disordered quasi-1D samples is viewed in the framework of scattering approach. Simple equation for the transfer-matrix is obtained within this unified picture. In the case of diffusive…

Condensed Matter · Physics 2008-02-03 Eugene Kogan

Effects of correlated disorder on wave localization have attracted considerable interest. Motivated by the importance of studies of quantum transport in rough nanowires, here we examine how colored surface roughness impacts the conductance…

Disordered Systems and Neural Networks · Physics 2015-05-14 Gursoy B. Akguc , Jiangbin Gong

Wave propagation in complex media is a universal problem spanning optics, acoustics, mechanics, and condensed matter physics. While disorder usually causes strong scattering, recent theory predicts that a special class of correlated…

Soft Condensed Matter · Physics 2026-02-10 Angélique Campaniello , Rémi Carminati , Marcel Filoche , Emmanuel Fort

The scattering approach to quantum transport through a disordered quasi-one-dimensional conductor in the insulating regime is discussed in terms of its transfer matrix $\bbox{T}$. A model of $N$ one-dimensional wires which are coupled by…

Condensed Matter · Physics 2009-10-28 Dirk Endesfelder

We model the 2-probe conductance of a quantum point contact (QPC), in linear response. If the QPC is highly non-adiabatic or near to scatterers in the open reservoir regions, then the usual distinction between leads and reservoirs breaks…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. H. Barnett , M. Blaauboer , A. Mody , E. J. Heller

We study analytically and numerically field/intensity correlations in wave transport through volume-disordered waveguide. The obtained channel and spacial correlations deviate from those found in framework of Dorokhov-Mello-Pereyra-Kumar…

Mesoscale and Nanoscale Physics · Physics 2007-06-12 Alexey Yamilov

Wave propagation through waveguides, quantum wires or films with a modest amount of disorder is in the semi-ballistic regime when in the transversal direction(s) almost no scattering occurs, while in the long direction(s) there is so much…

Condensed Matter · Physics 2009-10-28 A. Mosk , Th. M. Nieuwenhuizen , C. Barnes