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A theory of electromagnetic wave propagation in a weakly anisotropic smoothly inhomogeneous medium is developed, based on the quantum-mechanical diagonalization procedure applied to Maxwell equations. The equations of motion for the…

光学 · 物理学 2008-11-26 K. Yu. Bliokh , D. Yu. Frolov , Yu. A. Kravtsov

We derive a new eight dimensional matrix representation of the Maxwell equations for a linear homogeneous medium and extend it to the case of a linear inhomogneous medium. This derivation starts ab initio with the Maxwell equations and uses…

数学物理 · 物理学 2024-11-06 Sameen Ahmed Khan , Ramaswamy Jagannathan

The maximum achievable rate or mutual informa- tion of multidimensional rotationally invariant distributions in the presence of additive white Gaussian noise is analyzed. A simple expression for the special case of multisphere distributions…

信息论 · 计算机科学 2016-04-15 Johnny Karout , Rene'-Jean Essiambre , Erik Agrell , Antonia Tulino

After giving an outline of the quantization scheme based on the microscopic Hopfield model of a dielectric bulk material, we show how the classical phenomenological Maxwell equations of the electromagnetic field in the presence of…

量子物理 · 物理学 2007-05-23 Ludwig Knoll , Stefan Scheel , Dirk-Gunnar Welsch

Bi-isotropic media, which include isotropic chiral media and Tellegen media as special cases, are the most general form of linear isotropic media where the electric displacement and the magnetic induction are related to both the electric…

光学 · 物理学 2016-05-04 Seulong Kim , Kihong Kim

This paper introduces a novel time-frequency distribution, referred to as the Two-Dimensional Non-Separable Quadratic Phase Wigner Distribution (2D-NSQPWD), formulated within the framework of the Two-Dimensional Non-Separable Quadratic…

信号处理 · 电气工程与系统科学 2025-09-25 Mukul Chauhan , Waseem Z. Lone , Amit K. Verma

In this paper, the Maxwell's equations for the tensorial magneto-electric (ME) medium have been solved which in fact is the extension of anisotropic nonmagnetic medium. All of the dielectric permittivity, magnetic permeability and the ME…

光学 · 物理学 2015-09-08 Waqas Mahmood , Qing Zhao

Temporal metamaterials are artificially manufactured materials with time-dependent material properties that exhibit interesting phenomena when waves propagate through them. The propagation of electromagnetic waves in such time-varying…

偏微分方程分析 · 数学 2026-03-23 Christian Döding , Barbara Verfürth

We analyze the refocusing properties of time reversed waves that propagate in two different media during the forward and backward stages of a time-reversal experiment. We consider two regimes of wave propagation modeled by the paraxial wave…

无序系统与神经网络 · 物理学 2007-05-23 Guillaume Bal , Lenya Ryzhik

We discuss how classical electromagnetic techniques are useful to describe optical effects in conventional and chiral dielectric systems endowed with optical activity. Starting from the Maxwell equations and constitutive relations of the…

光学 · 物理学 2024-06-13 Pedro D. S. Silva , Manoel M. Ferreira

In this work, we study the propagation of electromagnetic waves in a magnetized chiral plasma that pervades the interstellar space. The Maxwell equations, supplemented by bi-isotropic-like constitutive relations, are rewritten to describe a…

高能天体物理现象 · 物理学 2026-02-17 Filipe S. Ribeiro , Pedro D. S. Silva , Rodolfo Casana , Manoel M. Ferreira

Two known, alternative to each other, forms of the Maxwell's electromagnetic equations in a moving uniform media are investigated and discussed. Approach commonly used after Minkowski is based on the two tensors: H^{ab} = (D, H /c) and…

高能物理 - 理论 · 物理学 2007-05-23 V. A. Red'kov , George J. Spix

Faraday rotation measure at radio wavelengths is commonly used to diagnose large-scale magnetic fields. It is argued that the length-scales on which magnetic fields vary in large-scale diffuse astrophysical media can be inferred from…

高能天体物理现象 · 物理学 2019-10-09 Alvina Y. L. On , Jennifer Y. H. Chan , Kinwah Wu , Curtis J. Saxton , Lidia van Driel-Gesztelyi

The electromagnetic wave propagation in an anisotropic dielectric media with two generic matrices $\epsilon^{ij}$ and $\mu^{ij}$ of permittivity and permeability is studied. These matrices are not required to be symmetric, positive…

经典物理 · 物理学 2013-03-08 Yakov Itin

We consider space-times with two isometries which represent gravitational waves with distinct wavefronts which propagate into exact Friedmann-Robertson-Walker (FRW) universes. The geometry of possible wavefronts is analysed in detail in all…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Jiri Bicak , Jerry B. Griffiths

We investigate the asymptotic relation between the inverse problems relying on the Helmholtz equation and the radiative transfer equation (RTE) as physical models, in the high-frequency limit. In particular, we evaluate the asymptotic…

数值分析 · 数学 2022-08-10 Shi Chen , Zhiyan Ding , Qin Li , Leonardo Zepeda-Núñez

The dipolar (magnetostatic) interaction dominates the behavior of spin waves in magnetic films in the long-wavelength regime. In an in-plane magnetized film, volume modes exist with a negative group velocity (backward volume magnetostatic…

介观与纳米尺度物理 · 物理学 2021-12-01 F. J. Buijnsters , L. J. A. van Tilburg , A. Fasolino , M. I. Katsnelson

Electromagnetic wave propagation inside isotropic material media characterized by dielectric coefficients $\varepsilon_{\mu\nu}(E,B)$ and $\mu_{\mu\nu}(E,B)$ is examined. The regime of the eikonal approximation is considered. The Hadamard…

光学 · 物理学 2013-04-24 Vitorio A. De Lorenci , Guilherme P. Goulart

We prove that the electromagnetic fields in dielectric media whose susceptibility follows a fractional power-law dependence in a wide frequency range can be described by differential equations with time derivatives of noninteger order. We…

数学物理 · 物理学 2015-03-17 Vasily E. Tarasov

We discuss diffusion of particles in a spatially inhomogeneous medium. From the microscopic viewpoint we consider independent particles randomly evolving on a lattice. We show that the reversibility condition has a discrete geometric…

统计力学 · 物理学 2018-11-14 Daniele Andreucci , Emilio N. M. Cirillo , Matteo Colangeli , Davide Gabrielli