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Electromagnetism in an inhomogeneous dielectric medium at rest is described using the methods of differential geometry. In contrast to a general relativistic approach the electromagnetic fields are discussed in three-dimensional space only.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Paul Piwnicki

The two-photon decay in hydrogen-like ions is investigated within the framework of second order perturbation theory and Dirac's relativistic equation. Special attention is paid to the angular correlation of the emitted photons as well as to…

Atomic Physics · Physics 2014-10-23 P. Amaro , F. Fratini , S. Fritzsche , P. Indelicato , J. P. Santos , A. Surzhykov

The propagation of light through bianisotropic materials is studied in the geometrical optics approximation. For that purpose, we use the quartic general dispersion equation specified by the Tamm-Rubilar tensor, which is cubic in the…

Optics · Physics 2016-03-02 Alberto Favaro

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

The large abundance of electrically neutral particles has a remarkable impact on the dynamics of many astrophysical plasmas. Here, we use a two-fluid model that includes charge-neutral elastic collisions and Hall's current to study the…

Solar and Stellar Astrophysics · Physics 2025-02-20 David Martínez-Gómez

The spatial structure of the inhomogeneity in a disordered medium determines how waves scatter and propagate in it. We present a theoretical model of how the Fourier components of the disorder control wave scattering in a two-dimensional…

Optics · Physics 2023-10-03 Zhun-Yong Ong

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…

Optics · Physics 2013-04-24 Vitorio A. De Lorenci , Guilherme P. Goulart

We derive simple formulae for the transmittance $T$ and reflectance $R$ of Gaussian-Schell beams incident upon any stratified dielectric structure by using second-order classical coherence theory in the space-frequency picture. The…

Optics · Physics 2021-02-24 Paulo A. Brandão , João P. Mendonça , S. B. Cavalcanti

We derive the mutual coherence function of an electron beam propagating through a static or dynamic Coulomb-disordered medium and show that its decay introduces an intrinsic coherence-reduction mechanism relevant for electron microscopy in…

Statistical Mechanics · Physics 2026-05-19 Yury A. Budkov

We present a formalism for analyzing a full-sky temperature and polarization map of the cosmic microwave background. Temperature maps are analyzed by expanding over the set of spherical harmonics to give multipole moments of the two-point…

Astrophysics · Physics 2009-10-28 Marc Kamionkowski , Arthur Kosowsky , Albert Stebbins

This work studies a two-component Fornberg-Whitham (FW) system, which can be considered as a model for the propagation of shallow water waves. It's known that its solutions depend continuously on their initial data from the local…

Analysis of PDEs · Mathematics 2021-07-06 Xu Fei , Zhang Yong , Fengquan Li

Weakly non-linear stability of regimes of free hydromagnetic thermal convection in a rotating horizontal layer with free electrically conducting boundaries is considered in the Boussinesq approximation. Perturbations are supposed to involve…

Chaotic Dynamics · Physics 2015-05-13 V. Zheligovsky

We compute the graviton induced corrections to Maxwell's equations in the one-loop and weak field approximations. The corrected equations are analogous to the classical equations in anisotropic and inhomogeneous media. We analyze in…

High Energy Physics - Theory · Physics 2010-11-19 Diego D. Dalvit , Francisco D. Mazzitelli , Carmen Molina-Paris

Spherically symmetric spacetimes are ambient spaces for models of stellar collapse and inhomogeneous cosmology. We obtain results for the Weyl tensor and the covariant form of the Ricci tensor on general doubly warped (DW) spacetimes. In a…

General Relativity and Quantum Cosmology · Physics 2022-09-08 Carlo Alberto Mantica , Luca Guido Molinari

We present a theory and computation method of radiation pressure from partially coherent light by establishing a coherent mode representation of the radiation forces. This is illustrated with the near field emitted from a Gaussian Schell…

We show that for an observer in translational, rotational or gravitational motion, a linearly polarized plane wave has two modes of propagation in a stationary, homogeneous and isotropic medium according to Hertz's version of Maxwell's…

General Physics · Physics 2007-05-23 A. I. A. Adewole

Previous studies of the modulation instability (MI) of continuous waves (CWs) in a two-core fiber (TCF) did not consider effects caused by co-propagation of the two polarized modes in a TCF that possesses birefringence, such as cross-phase…

Optics · Physics 2012-07-03 J. H. Li , K. S. Chiang , B. A. Malomed , K. W. Chow

We study Gaussian wave packet solutions for Maxwell's equations in an isotropic, inhomogeneous medium and derive a system of ordinary differential equations that captures the leading-order correction to geodesic motion. The dynamical…

Analysis of PDEs · Mathematics 2026-03-31 Sam C. Collingbourne , Marius A. Oancea , Jan Sbierski

Wave propagation is studied in a sufficiently anisotropic random medium that backscattering along one direction can be neglected. A Fokker-Planck equation is derived the solution to which would provide a complete statistical description of…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yi-Kuo Yu , H. Mathur

Propagation of gamma-beam in the anisotropic medium is considered. The simpliest example of such a medium of the general type is a combination of the two linearly polarized monochromatic laser waves with different frequencies (dichromatic…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. A. Maisheev
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