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We study the dispersion of electromagnetic waves in a spatially dispersive metamaterial with Lorentz-like dependence of principal permittivity tensor components on the respective components of the wave vector performing the analysis of…

Optics · Physics 2022-08-30 Denis Sakhno , Eugene Koreshin , Pavel A. Belov

We provide an asymptotic analysis of linear transport problems in the diffusion limit under minimal regularity assumptions on the domain, the coefficients, and the data. The weak form of the limit equation is derived and the convergence of…

Analysis of PDEs · Mathematics 2014-07-31 Herbert Egger , Matthias Schlottbom

Lattices are important as models for the node locations in wireless networks for two main reasons: (1) When network designers have control over the placement of the nodes, they often prefer a regular arrangement in a lattice for coverage…

Information Theory · Computer Science 2010-04-02 Martin Haenggi

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

The linear transport theory is developed to describe the time dependence of the number density of tracer particles in porous media. The advection is taken into account. The transport equation is numerically solved by the analytical discrete…

Computational Physics · Physics 2020-05-26 Kenji Amagai , Yuko Hatano , Manabu Machida

We investigate light propagation through materials with periodically modulated gain/loss profile in both transverse and longitudinal directions, i.e. in material with two-dimensional modulation in space. We predict effects of…

Optics · Physics 2008-11-27 K. Staliunas , R. Herrero , R. Vilaseca

This work analyzes the emission and radiation properties of a single optical emitter embedded in a graphene-coated subwavelength wire. We discuss the modifications of the spontaneous emission rate and the radiation efficiency as a function…

Optics · Physics 2017-08-23 Mauro Cuevas

This paper presents the results of studying of dispersed media formation during the electrical explosion of thin metal wires in vacuum by using low-current generators ($\sim 1$-$10$~kA). Particular attention is paid to the analysis of the…

The paper deals with the generic problem of two waveguides coupled by perforations, which can be perforated tube mufflers without or with partitions, possibly with absorbing materials. Other examples are ducts with branched resonators of…

Classical Physics · Physics 2016-03-11 Marc Pachebat , Jean Kergomard

This paper presents an efficient method to compute the dispersion diagram of periodic and uniform structures with generic anisotropic media. The method takes advantage of the ability of full-wave commercial simulators to deal with finite…

We rigorously compute the propagation and scattering of microwaves by regular and defected arrays of dielectric cylinders in a uniform medium. Comparison with the previous experimental results is made, yielding agreements in the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bikash C. Gupta , Zhen Ye

The propagation of electromagnetic waves trapped within dielectric and magnetic layers is considered. The description within the three-dimensional theory is compared with the simplified analysis in two dimensions. Two distinct media…

Classical Physics · Physics 2018-05-23 Tomasz Radozycki , Piotr Bargiela

In a frame of quasi-crystal approximation the dispersion equations are obtained for the wave vector of a coherent electromagnetic wave propagating in a media which contains a random set of parallel dielectric cylinders with possible…

Optics · Physics 2007-05-23 Nadejda L. Cherkas

A periodic arrangement of one-dimensional slits carved in perfect electric conductor is investigated and an equivalent model based on the effective medium theory is derived. The proposed model is no longer fully homogeneous and features…

Optics · Physics 2016-12-14 Babak Rahmani , Khashayar Mehrany

A statistical mechanical framework to analyze linear vector channel models in digital wireless communication is proposed for a large system. The framework is a generalization of that proposed for code-division multiple-access systems in…

Information Theory · Computer Science 2007-11-06 Koujin Takeda , Atsushi Hatabu , Yoshiyuki Kabashima

By solving Maxwell's equations the exact dispersion equation for electromagnetic waves propagating in a layered coaxial ferrite line is obtained. In particular the analytical consideration is carried out for a simpler case of complete…

Accelerator Physics · Physics 2025-05-29 V. A. Balakirev , I. N. Onishchenko

We present a theory of electron, electromagnetic, and elastic wave propagation in systems consisting of non-overlapping scatterers in a host medium. The theory provides a framework for a unified description of wave propagation in…

Condensed Matter · Physics 2009-11-07 A. Modinos , N. Stefanou , I. E. Psarobas , V. Yannopapas

In the linear approximation, we study a one-dimensional problem of the reflectionless wave propagation on a surface of a shallow duct with the spatially varying water depth, duct width, and current. We show that both global and bounded…

Fluid Dynamics · Physics 2021-12-08 Semyon Churilov , Yury Stepanyants

An effective-medium theory is proposed for random weakly nonlinear dielectric media. It is based on a new gaussian approximation for the probability distributions of the electric field in each component of a multi-phase composite. These…

Materials Science · Physics 2008-04-17 Yves-Patrick Pellegrini

A theory of surface electromagnetic waves in gradient media exhibiting arbitrary surface gradients of dielectric permittivity and magnetic permeability has been developed. Novel low-loss propagating surface wave solutions have been found in…

Classical Physics · Physics 2024-02-29 Igor I. Smolyaninov , Quirino Balzano , Vera N. Smolyaninova , Daryna Soloviova