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We investigate the radiation damping experienced by a dielectric spherical particle when it is illuminated by an electromagnetic plane wave within the Rayleigh regime. We derive the equivalent electric dipole of the moving particle and…

Optics · Physics 2024-05-16 Mohammad Ali Abbassi , Lukas Novotny

Quantum computers are ideally set up to solve linear systems which are of a form similar to the Schrodinger/Dirac equation of quantum mechanics. In the framework of linear response theory, the propagation and scattering of electromagnetic…

The scattering and transformation of the waves propagating in magnetized plasma on a heavy stationary charged particle located at a plane plasma-vacuum boundary is considered. The scattering (transformation) occurs due to the nonlinear…

Plasma Physics · Physics 2015-05-27 Hrachya B. Nersisyan

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

A rigorous reduction of the many-body wave scattering problem to solving a linear algebraic system is given bypassing solving the usual system of integral equation. The limiting case of infinitely many small particles embedded into a medium…

Mathematical Physics · Physics 2009-11-13 A. G. Ramm

The scattering problem under the influence of the Aharonov-Bohm (AB) potential is reconsidered. By solving the Lippmann-Schwinger (LS) equation we obtain the wave function of the scattering state in this system. In spite of working with a…

High Energy Physics - Theory · Physics 2009-10-30 S. Sakoda , M. Omote

The problem of electromagnetic scattering by cylinders is an old problem that has been studied in many configurations. The present publication provides a theoretical study on a not yet investigated general case: the set of finite metallic…

Computational Physics · Physics 2026-03-31 Matthieu Elineau , Lucille Kuhler , Alexandre Chabory

In this article, we present the derivation of the asymptotic forms of the equations corresponding to the scattering coefficients of the exterior electric and magnetic fields of an infinite grating of insulating dielectric circular cylinders…

Mathematical Physics · Physics 2007-11-06 Omer Kavaklioglu , Baruch Schneider

In this work we consider the method of non-linear boundary integral equation for solving numerically the inverse scattering problem of obliquely incident electromagnetic waves by a penetrable homogeneous cylinder in three dimensions. We…

Numerical Analysis · Mathematics 2024-02-23 Drossos Gintides , Leonidas Mindrinos

We consider the scattering of linear waves in two dimensions by a rectangular region at the junction of four waveguides. A solution to the frequency domain problem is obtained by exploiting reflective symmetry to reduce the full problem to…

Mathematical Physics · Physics 2024-11-28 Afnan A. Aldosri , Michael H. Meylan , Ben Wilks

In this paper, we study the problem of electromagnetic (EM) wave scattering by many small impedance bodies. A numerical method for solving this problem is presented. The problem is solved under the physical assumptions $a\ll d \ll \lambda$,…

Classical Physics · Physics 2017-10-19 Nhan Tran

We present a detailed theoretical analysis of superradiant Rayleigh scattering from atomic Bose-Einstein condensates. A thorough investigation of the spatially resolved time-evolution of optical and matter-wave fields is performed in the…

Other Condensed Matter · Physics 2007-05-23 O. Zobay , Georgios M. Nikolopoulos

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

The plasmon resonance has found important application in various systems, e.g., nanoantennas, solar panels, refractive index sensors. Unfortunately, a few analytical solutions for such systems are known. The work aims to find a solution for…

Optics · Physics 2022-12-13 Alex Verevkin , Alex Bereza , David Shapiro

We analyze the propagation of waves in unbounded photonic crystals, the waves are described by a Helmholtz equation with $x$-dependent coefficients. The scattering problem must be completed with a radiation condition at infinity, which was…

Analysis of PDEs · Mathematics 2017-01-10 Agnes Lamacz , Ben Schweizer

Electromagnetic waves propagate in the Schwarzschild spacetime like in a nonuniform medium with a varying refraction index. A fraction of the radiation scatters off the curvature of the geometry. The energy of the backscattered part of an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Edward Malec

We derive an analytical expression for the scattering of a scalar wave from a perfectly conducting self-affine one dimensional surface in the framework of the Kirchhoff approximation. We show that most of the results can be recovered via a…

Other Condensed Matter · Physics 2009-11-10 Ingve Simonsen , Damien Vandembroucq , Stephane Roux

Observations of powerful radio waves from neutron star magnetospheres raise the question of how strong waves interact with particles in a strong background magnetic field $B_{bg}$. This problem is examined by solving the particle motion in…

High Energy Astrophysical Phenomena · Physics 2022-07-13 Andrei M. Beloborodov

Scattering of a plane electromagnetic wave by an anisotropic impedance right-angled concave wedge at skew incidence is analyzed. A closed-form solution is derived by reducing the problem to a symmetric order-2 vector Riemann-Hilbert problem…

Mathematical Physics · Physics 2014-01-16 Y. A. Antipov

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…

Optics · Physics 2010-06-03 Ingve Simonsen , Alexei A. Maradudin , Tamara A. Leskova
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