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We present a new approach to three-dimensional electromagnetic scattering problems via fast isogeometric boundary element methods. Starting with an investigation of the theoretical setting around the electric field integral equation within…

Numerical Analysis · Mathematics 2019-06-28 Jürgen Dölz , Stefan Kurz , Sebastian Schöps , Felix Wolf

We present a numerical approach for the solution of electromagnetic scattering from a dielectric cylinder partially covered with graphene. It is based on a classical Fourier-Bessel expansion of the fields inside and outside the cylinder to…

Optics · Physics 2025-03-07 Youssef Jeyar , Mauro Antezza , Brahim Guizal

A new method is proposed for fitting non-relativistic binary-scattering data and for extracting the parameters of possible quantum resonances in the compound system that is formed during the collision. The method combines the well-known…

Quantum Physics · Physics 2025-04-17 P. Vaandrager , M. L. Lekala , S. A. Rakityansky

We investigate resonant inelastic X-ray scattering (RIXS) at the O $K$-edge in insulating cuprates by means of three methods: cluster perturbation theory (CPT), Hartree--Fock approximation (HFA) and exact diagonalization (ED) method. We…

Strongly Correlated Electrons · Physics 2023-02-22 Yukihiro Matsubayashi , Sumio Ishihara

The new method proposed in this work not only measures the particle size distribution and the average molar mass accurately using the static light scattering (SLS) technique when the Rayleigh-Gans-Debye approximation is valid for dilute…

Chemical Physics · Physics 2007-05-23 Yong Sun

This manuscript proves the energy scattering of global solutions to a repulsive fourth-order generalized Hartree equation with non-radial data in the inter-critical regime. This work uses a new approach due to Dodson-Murphy [4] and extends…

Analysis of PDEs · Mathematics 2021-09-20 Tarek Saanouni , Hanene Hezzi

Electromagnetic scattering on a sphere is one of the most fundamental problems, which has a closed form analytical solution in the form of Mie series. Being initially formulated for a plane incident wave, the formalism can be extended to…

Optics · Physics 2021-06-11 Yuval Kashtera , Eran Falek , Pavel Ginzburg

Subwavelength atomic arrays are a leading platform for engineering light-matter interactions, enabling near-perfect single-photon mirrors and robust quantum memories based on long-lived dark spin waves. However, a comprehensive theory of…

Quantum Physics · Physics 2025-09-23 Yidan Wang , Oriol Rubies-Bigorda , Valentin Walther , Susanne F. Yelin

This paper is concerned with uniqueness for reconstructing a periodic inhomogeneous medium covered on a perfectly conducting plate. We deal with the problem in the frame of time-harmonic Maxwell systems without TE or TM polarization. An…

Analysis of PDEs · Mathematics 2010-03-17 Guanghui Hu , Jiaqing Yang , Bo Zhang

Planar, disordered assemblies of small particles incorporated in layered media -- sometimes called ``disordered metasurfaces'' in the recent literature -- are becoming widespread in optics and photonics. Their ability to scatter light with…

Optics · Physics 2023-08-08 Kevin Vynck , Armel Pitelet , Louis Bellando , Philippe Lalanne

In superconductors on triangle lattices, we show that the electronic Raman spectra in the non-resonant channel are independent of the light polarization configuration in the scattering. Therefore the light polarization configuration is no…

Superconductivity · Physics 2009-11-11 Jian-Bo Wang , Xiang-Mei He , Fei Tan , Qiang-Hua Wang

The ability to design the scattering properties of electromagnetic structures is of fundamental interest in optical science and engineering. While there has been great practical success applying local optimization methods to electromagnetic…

We study the scattering of a long longitudinal radiating bulk strain solitary wave in the delaminated area of a two-layered elastic structure with soft (`imperfect') bonding between the layers within the scope of the coupled Boussinesq…

Pattern Formation and Solitons · Physics 2017-02-27 K. R. Khusnutdinova , M. R. Tranter

The geometry of mesoscopic inhomogeneities plays an important role in determining the macroscopic propagation behaviors of elastic waves in a heterogeneous medium. Nonequiaxed inhomogeneities can lead to anisotropic wave velocity and…

Geophysics · Physics 2020-05-05 Huijing He

Researchers routinely characterize optical samples by computing the scattering cross-section. However, the experimental determination of this magnitude requires the measurement and integration of the components of the scattered field in all…

Scattering of electromagnetic waves lies at the heart of most experimental techniques over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and X-rays. Hence, deep insight into the basics of scattering theory…

We outline a strategy for quantitatively evaluating the conformational characteristics of self-assembled structures using the techniques of contrast variation small angle neutron scattering. By means of basis function expansion, a case…

Soft Condensed Matter · Physics 2021-10-27 Albert Y. Ho , Guan-Rong Huang , Wei-Ren Chen

We present two complementary strategies for modeling nonlinear quantum optics in realistic integrated optical devices, where scattering loss is present. In the first strategy, we model scattering loss as an attenuation; in the second, we…

Quantum Physics · Physics 2022-10-19 Milica Banic , Luca Zatti , Marco Liscidini , J. E. Sipe

This paper presents high-order integral equation methods for evaluation of electromagnetic wave scattering by dielectric bumps and dielectric cavities on perfectly conducting or dielectric half-planes. In detail, the algorithms introduced…

Computational Physics · Physics 2015-06-19 Carlos Pérez-Arancibia , Oscar P. Bruno

In our recent paper [Phys. Rev. B 65, 075316 (2002)], the selection rules for the Raman scattering in spherical nanocrystals are analyzed. Here we show, that a physically expedient choice of the coordinate system, related to the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. P. Pokatilov , S. N. Klimin , V. M. Fomin , J. T. Devreese , F. W. Wise
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