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We investigate the one-dimensional propagation of waves in the Anderson localization regime, for a single-mode, surface disordered waveguide. We make use of both an analytical formulation and rigorous numerical simulation calculations. The…

Disordered Systems and Neural Networks · Physics 2009-11-10 J. A. Sanchez-Gil , V. Freilikher

This work shows that chaotic signals with different power spectrum are robust to linear superposition, meaning that the superposition preserves Ergodic quantities (Lyapunov exponents) and the information content of the source signals, even…

Signal Processing · Electrical Eng. & Systems 2020-09-16 Murilo S. Baptista

We consider the problem of reliable communication over multiple-access channels (MAC) where the channel is driven by an independent and identically distributed state process and the encoders and the decoder are provided with various degrees…

Information Theory · Computer Science 2012-01-20 Nevroz Şen , Fady Alajaji , Serdar Yüksel , Giacomo Como

While the light transmission of photonic crystals is characterized by the photonic band gap, the one of disordered photonic structures is typified by a multiplicity of transmission depths. The total transmission over a range of wavelengths…

Optics · Physics 2019-09-04 Michele Bellingeri , Davide Cassi , Francesco Scotognella

A fundamental insight in the theory of diffusive random walks is that the mean length of trajectories traversing a finite open system is independent of the details of the diffusion process. Instead, the mean trajectory length depends only…

A numerical study of the statistics of transmission ($t$) and reflection ($r$) of quasi-particles from a one-dimensional disordered lasing or amplifying medium is presented. The amplification is introduced via a uniform imaginary part in…

Disordered Systems and Neural Networks · Physics 2009-10-30 Sandeep K. Joshi , A. M. Jayannavar

We develop a field-theoretic framework, called radiant field theory, to calculate the distribution of transmission eigenvalues for coherent wave propagation in disordered media. At its core is a self-consistent transport equation for a…

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

The study explores perpendicular transport through macroscopically inhomogeneous three-dimensional disordered conductors using mesoscopic methods (real-space Green function technique in a two-probe measuring geometry). The nanoscale samples…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Branislav K. Nikolic

A notion of directed information between two continuous-time processes is proposed. A key component in the definition is taking an infimum over all possible partitions of the time interval, which plays a role no less significant than the…

Information Theory · Computer Science 2012-11-01 Tsachy Weissman , Young-Han Kim , Haim H. Permuter

We report a detailed and systematic numerical study of wave propagation through a coherently amplifying random one-dimensional medium. The coherent amplification is modeled by introducing a uniform imaginary part in the site energies of the…

Disordered Systems and Neural Networks · Physics 2009-10-30 Sandeep K. Joshi , A. M. Jayannavar

The newly emerging field of wave front shaping in complex media has recently seen enormous progress. The driving force behind these advances has been the experimental accessibility of the information stored in the scattering matrix of a…

Optics · Physics 2017-03-06 Stefan Rotter , Sylvain Gigan

An analytical and numerical study is presented of transmission of radiation through a multi-mode waveguide containing a random medium with a complex dielectric constant $\epsilon= \epsilon'+i\epsilon''$. Depending on the sign of…

Condensed Matter · Physics 2007-05-23 T. Sh. Misirpashaev , J. C. J. Paasschens , C. W. J. Beenakker

In this paper, the capacity of wireless channels is characterized based on electromagnetic and antenna theories with only minimal assumptions. We assume the transmitter can generate an arbitrary current distribution inside a spherical…

Information Theory · Computer Science 2016-11-17 Wonseok Jeon , Sae-Young Chung

This paper studies the problem of secure communication over the broadcast channel with receiver side information under the lens of individual secrecy constraints. That is, the transmitter wants to send two independent messages to two…

Information Theory · Computer Science 2015-02-26 Yanling Chen , O. Ozan Koyluoglu , Aydin Sezgin

We present a general proof based on Kramers-Kronig relations that, in a normal or anomalous dispersive linear medium, any (discontinuitynonanalytic disturbance) in an electromagnetic pulse can not propagate faster than the phase velocity,…

Classical Physics · Physics 2007-05-23 Shi-Yao Zhu , Ya-Ping Yang , Li-Gang Wang , Nian-Hua Liu , M. Suhail Zubairy

We investigate the constrained capacity of multiple-antenna fading coherent channels, where the receiver knows the channel state but the transmitter knows only the channel distribution, driven by arbitrary equiprobable discrete inputs in a…

Information Theory · Computer Science 2012-10-26 Miguel Rodrigues

The statistical theory of certain complex wave interference phenomena, like the statistical fluctuations of transmission and reflection of waves, is of considerable interest in many fields of physics. In this article we shall be mainly…

Disordered Systems and Neural Networks · Physics 2016-08-16 P. A. Mello , M. Yépez , L. S. Froufe , J. J. Sáenz

We investigate the propagation of information through one-dimensional quantum chains in fluctuating external fields. We find that information propagation is suppressed, but in a quite different way compared to the situation with static…

Quantum Physics · Physics 2010-03-11 Christian K. Burrell , Jens Eisert , Tobias J. Osborne

We determine the cumulants of electromagnetic energy transmitted through one-dimensional disordered medium with absorption or amplification. For this purpose we derive the Keldysh nonlinear sigma-model action with a source term that…

Optics · Physics 2013-09-02 Zhong Yuan Lai , Oleg Zaitsev

Information diffusion is usually modeled as a process in which immutable pieces of information propagate over a network. In reality, however, messages are not immutable, but may be morphed with every step, potentially entailing large…

Social and Information Networks · Computer Science 2019-06-11 Manoel Horta Ribeiro , Kristina Gligorić , Robert West