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Motivated by the need to localise faults along electrical power lines, this paper adopts a frequency-domain approach to parameter estimation for an infinite-dimensional linear dynamical system with one spatial variable. Since the time of…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Daniel Selvaratnam , Amritam Das , Henrik Sandberg

We numerically investigate the electric potential distribution over a two-dimensional continuum percolation model between the electrodes. The model consists of overlapped conductive particles on the background with an infinitesimal…

Numerical Analysis · Computer Science 2015-05-28 Shigeki Matsutani , Yoshiyuki Shimosako , Yunhong Wang

Exact calculations of the transmittance of surface corrugated optical waveguides are presented. The elastic scattering of diffuse light or other electromagnetic waves from a rough surface induces a diffusive transport along the waveguide…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Garcia-Martin , J. A. Torres , J. J. Saenz , M. Nieto-Vesperinas

This paper presents an analytical approach of the propagation of an acoustic wave through a normally distributed disordered lattice made up of Helmholtz resonators connected to a cylindrical duct. This approach allows to determine…

Classical Physics · Physics 2009-02-06 Olivier Richoux , E. Morand , L. Simon

Diffraction of a surface wave on a rectangular wedge with impedance faces is studied using the Sommerfeld-Malyuzhinets technique. An analog of Landau's bypass rule in the theory of plasma waves is introduced for selection of a correct…

Optics · Physics 2014-03-25 Igor A. Kotelnikov , Vasily V. Gerasimov , Boris A. Knyazev

Low temperature quantum corrections to the density of states (DOS) and the conductivity are examined for a two-dimensional(2D) square crystal with substitutional impurities. By summing the leading logarithmic corrections to the DOS its…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. P. Nakhmedov , H. Feldmann , R. Oppermann , M. Kumru

In this paper, we focus on a new wave equation described wave propagation in the attenuation medium. In the first part of this paper, based on the time-domain space fractional wave equation, we formulate the frequency-domain equation named…

Analysis of PDEs · Mathematics 2021-02-23 Junxiong Jia , Shigang Yu , Jigen Peng , Jinghuai Gao

Considering the interband correlation, we present a generalized multiple-scattering approach of Green's function to investigate the effects of electron-impurity scattering on the density of states in silicene. The reduction of energy gaps…

Materials Science · Physics 2017-01-04 S. Y. Liu , Y. C. Zeng , X. L. Lei

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

Light transport in a metal with two-dimensional hole arrays is considered. Analytical expression for a transmission coefficient in periodic, isolated and disordered cases are derived, assuming the existence of waveguide modes transverse…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 Zh. S. Gevorkian , V. Gasparian , Emilio Cuevas

We study the effects of the spacial structure of localized losses in weakly-interacting fermionic quantum wires. We show that multiple dissipative impurities give rise to resonant effects visible in the transport properties and the…

Correlated, or extended, impurities play an important role in the transport properties of dirty metals. Here, we examine, in the framework of a tight-binding lattice, the transmission of a single electron through an array of correlated…

Other Condensed Matter · Physics 2009-11-11 Wonkee Kim , L. Covaci , F. Marsiglio

We present measurements of the spatial intensity distribution of localized modes in a two-dimensional open microwave cavity randomly filled with cylindrical dielectric scatterers. We show that each of these modes displays a range of…

Other Condensed Matter · Physics 2007-10-17 David Laurent , Olivier Legrand , Patrick Sebbah , Christian Vanneste , Fabrice Mortessagne

We consider a model of an Anderson impurity embedded in a $d_{x^2-y^2}$-wave superconducting state to describe the low-energy excitations of cuprate superconductors doped with a small amount of magnetic impurities. Due to the Dirac-like…

Strongly Correlated Electrons · Physics 2013-01-24 Guang-Ming Zhang , Hui Hu , Lu Yu

An analytical method for diffraction of a plane electromagnetic wave at periodically-modulated graphene sheet is presented. Both interface corrugation and periodical change in the optical conductivity are considered. Explicit expressions…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 T. M. Slipchenko , M. L. Nesterov , L. Martin-Moreno , A. Yu. Nikitin

We consider the superconducting state of $d+s$ symmetry with finite concentration of Anderson impurities in the limit $\Delta_s/\Delta_d \ll 1$. The model consists of a BCS-like term in the Hamiltonian and the Anderson impurity treated in…

Superconductivity · Physics 2010-12-20 L. S. Borkowski

In this paper, we discuss the transport phenomena of electromagnetic waves in a two-dimensional random system which is composed of arrays of electrical dipoles, following the model presented earlier by Erdogan, et al. (J. Opt. Soc. Am. B…

Soft Condensed Matter · Physics 2009-11-10 Ken Wang , Zhen Ye

We have performed the numerical modeling of Ge(111)-(2x1) surface electronic properties in vicinity of P donor impurity atom located near the surface. We have found a notable increase of surface $LDOS$ around surface dopant near the bottom…

Mesoscale and Nanoscale Physics · Physics 2013-02-08 S. V. Savinov , A. I. Oreshkin , S. I. Oreshkin

The paper presents new results on localisation and transmission of flexural waves in a structured plate containing a semi-infinite two-dimensional array of rigid pins. In particular, surface waves are identified and studied at the interface…

The absence of localization of impurity-induced low-energy quasiparticle states in a two-dimensional $d$-wave superconductor is argued for any amount of disorder in the limit of unitary scatterers. This surprising result follows from the…

Condensed Matter · Physics 2009-10-28 A. V. Balatsky , M. I. Salkola
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