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Light-matter interactions inside turbid medium can be controlled by tailoring the spatial distribution of energy density throughout the system. Wavefront shaping allows selective coupling of incident light to different transmission…

Optics · Physics 2017-09-06 M. Koirala , R. Sarma , H. Cao , A. Yamilov

In this second chapter, we analyse transmission problems between a dielectric and a dispersive negative material. In the first part, we consider a transmission problem between two half-spaces, filled respectively by the vacuum and a Drude…

Mathematical Physics · Physics 2025-04-02 Maxence Cassier , Patrick Joly

For the stationary one-dimensional nonlinear Schr\"odinger equation (or Gross-Pitaevskii equation) nonlinear resonant transmission through a finite number of equidistant identical barriers is studied using a (semi-) analytical approach. In…

Quantum Physics · Physics 2010-05-06 K Rapedius , H J Korsch

We develop a diagrammatic theory for transport of waves in disordered media with weak nonlinearity. We first represent the solution of the nonlinear wave equation as a nonlinear Born series. From this, we construct nonlinear ladder and…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Thomas Wellens , Benoit Gremaud

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 formalism relating nonlocal current continuity to spatial symmetries of subparts in discrete Schr\"odinger systems. Breaking of such local symmetries hereby generates sources or sinks for the associated nonlocal currents. The…

Quantum Physics · Physics 2017-09-27 C. V. Morfonios , P. A. Kalozoumis , F. K. Diakonos , P. Schmelcher

The influence of a saturable nonlinearity on the modulation instability in oppositely directed coupler in the presence of high-order effects is investigated. By using the standard linear stability analysis, we obtain the instability gain…

Pattern Formation and Solitons · Physics 2017-05-26 Erivelton O. Alves , Wesley B. Cardoso , Ardiley T. Avelar

We consider the eigenvalue problem for one-dimensional linear Schr\"odinger lattices (tight-binding) with an embedded few-sites linear or nonlinear, Hamiltonian or non-conservative defect (an oligomer). Such a problem arises when…

Pattern Formation and Solitons · Physics 2015-06-12 J. D'Ambroise , P. G. Kevrekidis , S. Lepri

A novel method for correcting the effect of nonlinear distortion in orthogonal frequency division multiplexing signals is proposed. The method depends on adaptively selecting the distortion over a subset of the data carriers, and then using…

Information Theory · Computer Science 2015-07-01 Ebrahim B. Al-Safadi , Tareq Y. Al-Naffouri , Mudassir Masood , Anum Ali

Using the integral equations of the Noncrossing Approximation, the differential conductance is computed as a function of voltage for scattering from a two channel Kondo impurity in a point contact. The results compare well to experimental…

Condensed Matter · Physics 2009-10-22 Matthias H. Hettler , Johann Kroha , Selman Hershfield

This article presents the experimental characterization of nonreciprocal elastic wave transmission in a single-mode elastic waveguide. This asymmetric system is obtained by coupling a selection layer with a conversion layer: the selection…

Classical Physics · Physics 2015-12-09 Thibaut Devaux , Vincent Tournat , Olivier Richoux , Vincent Pagneux

In the present article, we simulate the propagation of binary signals in semi-infinite, mechanical chains of coupled oscillators harmonically driven at the end, by making use of the recently discovered process of nonlinear…

Computational Physics · Physics 2011-12-06 J. E. Macías-Díaz , A. Puri

The transmission eigenvalues corresponding to the half-line Schr\"odinger equation with the general selfadjoint boundary condition is analyzed when the potential is real valued, integrable, and compactly supported. It is shown that a…

Spectral Theory · Mathematics 2016-10-06 Tuncay Aktosun , Vassilis G. Papanicolaou

Linear receivers are an attractive low-complexity alternative to optimal processing for multi-antenna MIMO communications. In this paper we characterize the information-theoretic performance of MIMO linear receivers in two different…

Information Theory · Computer Science 2016-11-18 K. Raj Kumar , G. Caire , A. L. Moustakas

We explore an asymmetric two-fermion Hubbard dimer to test the accuracy of the adiabatic approximation of time-dependent density functional theory in modelling time-resolved charge transfer. We show that the model shares essential features…

Chemical Physics · Physics 2014-05-13 Johanna I. Fuks , Neepa T. Maitra

Asymmetric line shapes can occur in the transmission function describing electron transport in the vicinity of a minimum caused by quantum interference effects. Such asymmetry can be used to increase the thermoelectric efficiency of…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Robert Stadler , Troels Markussen

In this work, we study the performance of random isometric precoders over quasi-static and correlated fading channels. We derive deterministic approximations of the mutual information and the signal-to-interference-plus-noise ratio (SINR)…

Information Theory · Computer Science 2016-11-18 Romain Couillet , Jakob Hoydis , Merouane Debbah

The accuracy of different transfer matrix approaches, widely used to solve the stationary effective mass Schr\"{o}dinger equation for arbitrary one-dimensional potentials, is investigated analytically and numerically. Both the case of a…

Mesoscale and Nanoscale Physics · Physics 2011-06-17 Christian Jirauschek

We study transmission stabilization against radiation emission in soliton-based nonlinear optical waveguides with weak linear gain-loss, cubic loss, and delayed Raman response. We show by numerical simulations with perturbed nonlinear…

Optics · Physics 2018-08-08 Avner Peleg , Debananda Chakraborty

We introduce a class of PT-symmetric systems which include mutually matched nonlinear loss and gain (inother words, a class of PT-invariant Hamiltonians in which both the harmonic and anharmonic parts are non-Hermitian). For a basic system…

Mathematical Physics · Physics 2015-05-27 Andrey E. Miroshnichenko , Boris A. Malomed , Yuri S. Kivshar