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We derive expressions for the scattering, extinction and conversion of the chirality of monochromatic light scattered by bodies which are characterized by a T-matrix. In analogy to the conditions obtained from the conservation of energy,…

Optics · Physics 2018-06-22 Philipp Gutsche , Manuel Nieto-Vesperinas

A general scattering problem of a plane electromagnetic wave on an infinite cylindrical rod is formulated and solved in a form of Bessel functions series expansion. The conductivity account via Ohm law directly in Maxwell equation leads to…

Classical Physics · Physics 2013-09-03 Katarzyna Krzyżanowska , Sergey Leble

The exact wavefunction of an isolated three-body resonance at finite scattering length is obtained for two identical particles interacting with another one via a pairwise zero-range potential. The corresponding universal spectrum is studied…

Quantum Gases · Physics 2025-12-01 Ludovic Pricoupenko

We present an experimental and theoretical study of the angle- and polarization-dependent light extinction in random arrays of polydisperse semiconductor nanowires epitaxially grown on substrates. The specular reflectance is described by…

Optics · Physics 2013-11-05 Grzegorz Grzela , Djamila Hourlier , Jaime Gómez Rivas

This paper is about perfectly electrically conducting structures designed to produce negligible scattered power when exposed to a time-harmonic plane electromagnetic wave. The structures feature cavities capable of concealing objects.…

Computational Physics · Physics 2025-10-01 Johan Helsing , Anders Karlsson

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

Breaking the reciprocity of wave propagation is a problem of fundamental interest, and a mucht-sought functionality in practical applications, both in photonics and phononics. Although it has been achieved using resonant linear scattering…

Applied Physics · Physics 2024-03-12 Tiemo Pedergnana , Abel Faure-Beaulieu , Romain Fleury , Nicolas Noiray

Electromagnetic wave scattering from a perfectly reflecting self-affine surface is considered. Within the framework of the Kirchhoff approximation, we show that the scattering cross section can be exactly written as a function of the…

Statistical Mechanics · Physics 2010-05-05 Ingve Simonsen , Damien Vandembroucq , Stephane Roux

We consider the solvability of the direct scattering problem of an obliquely incident time-harmonic electromagnetic wave by a piecewise constant inhomogeneous, penetrable and infinitely long cylinder. We prove the existence and uniqueness…

Analysis of PDEs · Mathematics 2024-02-23 Drossos Gintides , Sotiris Giogiakas , Leonidas Mindrinos

Scattering from large, open cavity structures is of importance in a variety of electromagnetic applications. In this paper, we propose a new well conditioned integral equation for scattering from general open cavities embedded in an…

Numerical Analysis · Mathematics 2017-06-07 Jun Lai , Leslie Greengard , Michael O'Neil

Using a generalized T-matrix description which, in principle, exactly includes Coulomb correlations and potential scattering events, resonant and bound impurity states are discussed. Like in the non-interacting case, the effects of the…

Condensed Matter · Physics 2009-10-28 W. Ziegler , D. Poilblanc , R. Preuss , W. Hanke , D. J. Scalapino

In this Letter we develop analytical formulations to describe sound scattering in lossless medium due to 2D circular wave incident on an acoustic cloak. A perfect acoustic cloak is reflectionless and can completely hide the cloaked object…

Classical Physics · Physics 2012-05-08 Siyang Zhong , Xun Huang

Solutions describing the gravitational collapse of asymptotically flat cylindrical and prolate shells of (null) dust are shown to admit globally naked singularities.

General Relativity and Quantum Cosmology · Physics 2009-11-07 Brien C. Nolan

The scalar scattering cross section is computed for Schwarzschild-Tangherlini black holes on the brane. The cross sections are computed numerically via the partial-wave method. The phase shifts are found numerically and also via the Born…

General Relativity and Quantum Cosmology · Physics 2017-01-13 Cássio I. S. Marinho , Ednilton S. de Oliveira

The spectral and scattering theory is investigated for a generalization, to scattering metrics on two-dimensional compact manifolds with boundary, of the class of smooth potentials on the Euclidean plane which are homogeneous of degree zero…

Analysis of PDEs · Mathematics 2007-05-23 Andrew Hassell , Richard B. Melrose , András Vasy

Zero point density fluctuations in a liquid and their potential observation by light scattering are discussed. It is suggested that there are two distinct effects of interest. One gives an average number of scattered photons, and depends…

Quantum Physics · Physics 2020-08-05 Peter Wu , L. H. Ford

Non-relativistic quantum particles bounded to a curve in R^2 by attractive contact $\delta$-interaction are considered. The interval between the energy of the transversal bound state and zero is shown to belong to the absolutely continuous…

Mathematical Physics · Physics 2020-08-13 J. Dittrich

Chirality-induced spin selectivity has been reported in many experiments, but a generally accepted theoretical explanation has not yet been proposed. Here, we introduce a simple model system of a straight cylindrical free-electron wire,…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Jan M. van Ruitenbeek , Richard Korytár , Ferdinand Evers

Using analytical Lorenz--Mie scattering formalism and numerical methods, we analyze the response of active particles to electromagnetic waves. The particles are composed of homogeneous, non-magnetic, and dielectrically isotropic medium.…

Optics · Physics 2022-09-23 Ari Sihvola , Henrik Wallén , Pasi Ylä-Oijala , Rashda Parveen

A material that exhibits Willis coupling has constitutive equations that couple the pressure-strain and momentum-velocity relationships. This coupling arises from subwavelength asymmetry and non-locality in heterogeneous media. This paper…

Computational Physics · Physics 2019-03-06 Michael B. Muhlestein , Benjamin M. Goldsberry , Andrew N. Norris , Michael R. Haberman
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