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In this paper we generalise our previous results [1] concerning scattering on the exterior of collapsing dust clouds to the charged case, including in particular the extremal case. We analyse the energy boundedness of solutions $\phi$ to…

General Relativity and Quantum Cosmology · Physics 2023-09-07 Frederick Alford

We demonstrate, both theoretically and experimentally, that arbitrary scatterers preserving parity-time-duality ($\mathcal{P}\cdot\mathcal{T}\cdot\mathcal{D}$) symmetry inherently produce a backscattered wave whose electric field is the…

Optics · Physics 2025-01-23 Roee Geva , Mário G. Silveirinha , Raphael Kastner

A thorough theoretical study of the optical properties of periodic Si nanosphere arrays is undertaken, placing particular emphasis on the synergy between electric and magnetic Mie resonances, which occur in high-refractive-index…

The results of the mean field studies on the effects of the backward scattering with large momentum transfer in a two-dimensional electron system are extended to the case with various types of the Fermi surface and coupling constants. It is…

Strongly Correlated Electrons · Physics 2009-10-31 Masakazu Murakami , Hidetoshi Fukuyama

By the use of Green's second integral identity we determine the field scattered from a two-dimensional randomly rough isotropic or anisotropic Dirichlet or Neumann surface when it is illuminated by a scalar Gaussian beam. The integral…

Theory of scattering of massive chiral fermions in bilayer graphene by radial symmetric potential is developed. It is shown that in the case when the electron wavelength is much larger than the radius of the potential the scattering…

Mesoscale and Nanoscale Physics · Physics 2007-09-02 M. I. Katsnelson

Scattering is defined on compact manifolds with boundary which are equipped with an asymptotically hyperbolic metric, $g.$ A model form is established for such metrics close to the boundary. It is shown that the scattering matrix at energy…

Spectral Theory · Mathematics 2007-05-23 Mark S. Joshi , Antonio Sa Barreto

We calculate the differential, total, and transport cross-sections for scattering of two-dimensional massless Dirac electrons by a circular barrier. For scatterer of a small radius, the cross-sections are dominated by quantum effects such…

Mesoscale and Nanoscale Physics · Physics 2014-12-02 Jhih-Sheng Wu , Michael M. Fogler

Trapped samples of ultracold molecules are often short-lived, because close collisions between them result in trap loss. We investigate the use of shielding with static electric fields to create repulsive barriers between polar molecules to…

Quantum Gases · Physics 2024-02-20 Bijit Mukherjee , Jeremy M. Hutson

In this paper we consider the classic problems of scattering of waves from perfectly conducting cylinders with piecewise smooth boundaries. The scattering problems are formulated as integral equations and solved using a Nystr\"om scheme…

Computational Physics · Physics 2015-06-12 Johan Helsing , Anders Karlsson

The magnetic dipole absorption cross section of a spherically shaped metal particle was calculated in terms of kinetic approach. The particle considered was placed in the field of a plane electromagnetic wave. The model of boundary…

Mesoscale and Nanoscale Physics · Physics 2014-03-10 I. A. Kuznetsova , M. E. Lebedev , A. A. Yushkanov

A new technique based on superposition of two speckle patterns is proposed and demonstrated for controlled modulation of the spatial polarization distribution of the resultant speckle. It is demonstrated both theoretically and…

Optics · Physics 2021-11-15 Abhijit Roy , Rakesh K. Singh , Maruthi M. Brundavanam

We analyze the scattering of the surface plasmon incident at a planar interface between two dielectrics. By using the scattering matrix technique, developed by Oulton et al. [Phys. Rev. B 76, 035408 (2007)], we calculate the transmission,…

Optics · Physics 2015-03-13 Tomas Vary , Peter Markos

High refractive index dielectric particles present unique light scattering properties in the spectral range dominated by electric and magnetic dipolar resonances. These properties are absent in non-resonant low-index particles due to the…

Aspects of of plane wave electromagnetic scattering by a radially inhomogeneous sphere is discussed. The vector problem is reduced to two scalar radial `Schr\"odinger-like' equations, and a connection with time-independent potential…

Classical Physics · Physics 2013-07-08 John A. Adam , Umaporn Nuntaplook

We show that the enhancement of backscattering responsible for the weak localization is accompanied by reduction of the scattering in other directions. A simple quasiclassical interpretation of this phenomenon is presented in terms of a…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii

We present a method for generating numerically a one-dimensional random surface, defined by the equation $x_3 = \zx$, that suppresses single-scattering processes in the scattering of light from it within a specified range of scattering…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. A. Maradudin , I. Simonsen , T. A. Leskova , E. R. Mendez

Controlling the propagation and coupling of light to sub-wavelength antennas is a crucial prerequisite for many nanoscale optical devices. Recently, the main focus of attention has been directed towards high-refractive-index materials such…

Optics · Physics 2016-05-04 Martin Neugebauer , Paweł Woźniak , Ankan Bag , Gerd Leuchs , Peter Banzer

In conventional scattering theory, to obtain an explicit result, one imposes a precondition that the distance between target and observer is infinite. With the help of this precondition, one can asymptotically replace the Hankel function…

Mathematical Physics · Physics 2014-06-23 Tong Liu , Wen-Du Li , Wu-Sheng Dai

We consider the direct electromagnetic scattering problem of time-harmonic obliquely incident waves by a infinitely long, homogeneous and doubly-connected cylinder in three dimensions. We apply a hybrid integral equation method (combination…

Analysis of PDEs · Mathematics 2019-07-08 Leonidas Mindrinos
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