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We present a perturbative technique for modeling the scattering of light by a nonlinear material. This approach eliminates the need for an iterative algorithm to solve the fully coupled nonlinear problem. We demonstrate its effectiveness in…

Optics · Physics 2026-04-01 Jérémy Itier , Gilles Renversez , Frédéric Zolla

Consider the elastic scattering of a time-harmonic wave by multiple well separated rigid particles in two dimensions. To avoid using the complex Green's tensor of the elastic wave equation, we utilize the Helmholtz decomposition to convert…

Numerical Analysis · Mathematics 2020-08-17 Jun Lai , Peijun Li

Optical properties of natural or designed materials are determined by the electromagnetic multipole moments that light can excite in the constituent particles. In this work we present an approach to calculate the multipole excitations in…

Optics · Physics 2012-09-20 P. Grahn , A. Shevchenko , M. Kaivola

In this paper, we consider the inverse shape problem of recovering small and extended isotropic scatterers with a conductive boundary condition. Here, we assume that the measured far-field data is known at a fixed wave number. We will…

Analysis of PDEs · Mathematics 2023-10-13 Rafael Ceja Ayala , Isaac Harris

Two inverse scattering schemes were recently developed in \cite{LiLiuShangSun} for locating multiple electromagnetic (EM) scatterers, respectively, of small size and regular size compared to the detecting EM wavelength. Both schemes make…

Mathematical Physics · Physics 2013-05-09 Jingzhi Li , Hongyu Liu , Qi Wang

Many applications require recovering the geometry information of multiple elastic particles based on the scattering information. In this paper, we consider the inverse time-harmonic elastic scattering of multiple rigid particles in three…

Mathematical Physics · Physics 2022-09-21 Jun Lai , Jinrui Zhang

In this paper, we present an improvement of a method for computing scattering amplitudes that include external (polarized) fermions with the following features: the formulas are quite general and work for different kinematic configurations…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Chopin

In this paper we describe a method to compute Generalized Polarization Tensors. These tensors are the coefficients appearing in the multipolar expansion of the steady state voltage perturbation caused by an inhomogeneity of constant…

Numerical Analysis · Mathematics 2018-06-25 Yves Capdeboscq , Anton Bongio Karrman , Jean-Claude Nédélec

The albedo and dichroic polarization of spheroidal particles are studied. For the description of the phase function two asymmetry parameters $g_{||}$ and $g_{\bot}$ characterizing the anisotropy in forward/backward and left/right directions…

Astrophysics · Physics 2007-05-23 Nikolai V. Voshchinnikov

We derive expressions for the total and linearly-polarized synchrotron emissivity of an element of plasma containing relativistic particles and disordered magnetic field which has been sheared or compressed along three independent…

Astrophysics · Physics 2009-11-07 R. A. Laing

We analyze the polarization structure of gravitational waves in the framework of Extended Relativity (ER), using the deviation tensor as the fundamental observable quantity. Starting from the point-source solution, we derive the radiation…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Yaakov Friedman

The spin polarizabilities of the nucleon describe how the spin of the nucleon responds to an incident polarized photon. The most model-independent way to measure the nucleon spin polarizabilities is through polarized Compton scattering.…

The theoretical description and experimental verification of resonant phenomena in electromagnetic fields generated in the near zone of all-dielectric rectangular thin sub wavelength frames, subjected to an incident microwave, is…

Applied Physics · Physics 2024-10-08 Aleksandr Shvartsburg , Sergey Artekha

Polarimetry provides key physical information on the properties of interacting binary systems, sometimes difficult to obtain by any other type of observation. Indeed, radiation processes such as scattering by free electrons in the hot…

Solar and Stellar Astrophysics · Physics 2019-10-16 Tariq Shahbaz

General expressions for all parity-conserving polarization observables of elastic electron-nucleon scattering in the one-photon exchange approximation are derived for a general frame of reference, i.e.\ not assumming scattering off a…

Nuclear Theory · Physics 2019-05-15 H. Arenhövel

The propagation of electromagnetic waves in the anisotropic medium with a single-sheeted hyperboloid dispersion relation is investigated. It is found that in such an anisotropic medium E- and H-polarized waves have the same dispersion…

Optics · Physics 2007-05-23 Hailu Luo , Weixing Shu , Fei Li , Zhongzhou Ren

An analysis of all experimental data of 50's - 90's on elastic gamma-p scattering at photon energies below 150 MeV (10 experimental works) is performed in order to determine the electric (alpha_p) and magnetic (beta_p) polarizabilities of…

Nuclear Experiment · Physics 2007-05-23 P. S. Baranov , A. I. L'vov , V. A. Petrun'kin , L. N. Shtarkov

The explicit formulae for radiative correction (RC) calculation for elastic $ep$-scattering is presented. Two typical measurements of polarization observables such as beam-target asymmetry or recoil proton polarization, are considered.…

High Energy Physics - Phenomenology · Physics 2019-08-17 A. Afanasev , I. Akushevich , N. Merenkov

In this letter, we exploit the polarization property of light to investigate the Angstroem exponent describing the wavelength dependence of optical backscatter between two wavelengths. Where previous interpretation of Angstroem exponent was…

Atmospheric and Oceanic Physics · Physics 2020-03-18 Alain Miffre , Danael Cholleton , Patrick Rairoux

Using 4x4 matrix formalism we analyzed electromagnetic wave propagation and Jones matrix components for reflectivity and transmittivity in bi-anisotropic materials. Analytic formulas for complex reflection and transmission coefficients for…

Optics · Physics 2011-05-26 P. D. Rogers , M. Kotelyanskii , A. A. Sirenko