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An accurate and efficient numerical simulation approach to electromagnetic wave scattering from two-dimensional, randomly rough, penetrable surfaces is presented. The use of the M\"uller equations and an impedance boundary condition for a…

光学 · 物理学 2010-06-03 Ingve Simonsen , Alexei A. Maradudin , Tamara A. Leskova

In this work we study the scattering and transfer matrices for electric fields defined with respect to an angular spectrum of plane waves. For these matrices, we derive the constraints that are enforced by conservation of energy,…

光学 · 物理学 2021-02-17 Niall Byrnes , Matthew R. Foreman

Closed expressions for the Green function and amplitude of the scalar particle scattering in the external gravitational field $g_{\mu\nu}(x)$ are found in the form of functional integrals. It is shown that, as compared with the scattering…

高能物理 - 理论 · 物理学 2007-05-23 Nguyen Suan Han

Mie theory is the classical problem for modeling of light scattering by spherical particles. In this paper, we perform a spherical harmonic analysis of its solution for the induced fields to reveal the physics underlying the resonant…

光学 · 物理学 2024-01-10 Yuriy A. Akimov

Particle scattering and vacuum instability in a constant inhomogeneous electric field of particular peak configuration that consists of two (exponentially increasing and exponentially decreasing) independent parts are studied. It presents a…

高能物理 - 理论 · 物理学 2017-11-22 S. P. Gavrilov , D. M. Gitman , A. A. Shishmarev

Electromagnetic wave scattering by many parallel infinite cylinders is studied asymptotically as $a\to 0$. Here $a$ is the radius of the cylinders. It is assumed that the points $\hat{x}_m$ are distributed so that…

数学物理 · 物理学 2012-09-03 Alexander G. Ramm

As is known, the existence of a small noncommutativity between coordinates would generate nonlocal self-interactions in the electromagnetic theory. To explore some consequences of this effect on the propagation of photons we consider Moyal…

高能物理 - 理论 · 物理学 2023-11-28 Daniela D'Ascanio , Pablo Pisani , Ulises Wainstein Haimovichi

The diffuse intensity propagating in turbid media is sensitive to the presence of any kind of object embedded in the medium, e.g. obstacles or defects. The long-ranged effects of isolated objects can be described by a stationary diffusion…

介观与纳米尺度物理 · 物理学 2009-10-31 J. M. Luck , Th. M. Nieuwenhuizen

We present a new method for the analysis of electromagnetic scattering from homogeneous penetrable bodies. Our approach is based on a reformulation of the governing Maxwell equations in terms of two uncoupled vector Helmholtz systems: one…

数学物理 · 物理学 2017-04-25 Felipe Vico , Leslie Greengard , Miguel Ferrando

In this paper, we prove scattering for the defocusing Beam equation u_{tt}+D^2u+mu+ |u|^{p-1}u=0 in the energy space in low dimensions 1< n <5 for p>1+8/n. The main difficulty is the absence of a Morawetz-type estimate and of a Galilean…

偏微分方程分析 · 数学 2009-04-21 Benoit Pausader

In the present work a general frame for the scattering theory of local, relativistic dipole quantum fields is presented and some models of interacting dipole fields are considered, i.e. local, relativistic quantum fields with indefinite…

数学物理 · 物理学 2008-11-26 H. Gottschalk

In this paper, we revisit the classic problem of diffraction of electromagnetic waves by an aperture in a perfectly conducting plane. We formulate the diffraction problem using a boundary integral equation that is defined on the aperture…

偏微分方程分析 · 数学 2023-10-16 Ying Liang , Hai Zhang

The coherent scattering of photon in the Coulomb field (the Delbr\"uck scattering) is considered for the momentum transfer $\Delta \ll m$ in the frame of the quasiclassical operator method. In high-energy region this process occurs over…

高能物理 - 唯象学 · 物理学 2009-10-31 V. N. Baier , V. M. Katkov

A multi-channel scattering problem is studied from a point of view of integral equations system. The system appears while natural one-particle wave function equation of the electron under action of a potential with non-intersecting ranges…

量子物理 · 物理学 2016-09-08 Sergey Leble , Sergey Yalunin

Adopting the strong field limit approach, we investigate the strong gravitational lensing of a spherically symmetric spacetime in the Einstein-Proca theory. With the strong field limit coefficient, three observable quantities are obtained,…

综合物理 · 物理学 2015-07-19 Guoping Li , Yan Zhang , Li Zhang , Zhongwen Feng , Xiaotao Zu

The interaction between a focused beam and a single classical oscillating dipole or a two-level system located at the focal spot is investigated. In particular, the ratio of the scattered to incident power is studied in terms of the…

量子物理 · 物理学 2009-05-13 Gert Zumofen , Nassiredin M. Mojarad , Mario Agio

The scattering of scalar waves by a set of scatterers is considered. It is proven that the scattered field can be represented as an integral supported by any smooth surface enclosing the scatterers. This is a generalization of the series…

数学物理 · 物理学 2024-10-22 Didier Felbacq , Anthony Gourdin , Emmanuel Rousseau

We use dynamical mean field theory to find an exact solution for inelastic light scattering in strongly correlated materials such as those near a quantum-critical metal-insulator transition. We evaluate the results for $\textbf{q}=0$…

强关联电子 · 物理学 2009-11-10 A. M. Shvaika , O. Vorobyov , J. K. Freericks , T. P. Devereaux

We analyzed the influence of static gravitational field on the vacuum and proposed the concept of inhomogeneous vacuum. According to the corresponding Fermat's principle in the general relativity, we derived a graded refractive index of…

广义相对论与量子宇宙学 · 物理学 2009-11-13 Xing-Hao Ye , Qiang Lin

The theory of elastic light scattering by semiconductor quantum dots is suggested. The semiclassical method, applying retarded potentials to avoid the problem of bounder conditions for electric and magnetic field, is used. The exact results…

介观与纳米尺度物理 · 物理学 2007-05-23 I. G. Lang , L. I. Korovin , S. T. Pavlov