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A single-source surface integral equation (SS-SIE) for transverse electric (TE) scattering from cylindrical multilayered objects is proposed in this paper. By incorporating the differential surface admittance operator (DSAO) and recursively…

Computational Engineering, Finance, and Science · Computer Science 2021-12-15 Zekun Zhu , Xiaochao Zhou , Shunchuan Yang , Zhizhang , Chen

A boundary integral formulation of electromagnetics that involves only the components of $\boldsymbol{E}$ and $\boldsymbol{H}$ is derived without the use of surface currents that appear in the classical PMCHWT formulation. The kernels of…

Computational Physics · Physics 2019-10-15 Evert Klaseboer , Qiang Sun , Derek Y. C. Chan

Scattering states with LEED asymptotics are calculated for a general non-muffin tin potential, as e.g. for a pseudopotential with a suitable barrier and image potential part. The latter applies especially to the case of low lying conduction…

Materials Science · Physics 2009-10-30 S. Lorenz , C. Solterbeck , W. Schattke , J. Burmeister , W. Hackbusch

We examine the transient scattered and transmitted fields generated when an incident electromagnetic wave impinges on a dielectric scatterer or a coated conductor embedded in an infinite space. By applying a boundary-field equation method,…

Analysis of PDEs · Mathematics 2024-12-19 George C. Hsiao , Tonatiuh Sánchez-Vizuet , Wolfgang L. Wendland

Considering two-body integral equations we show how they can be dimensionally reduced by integrating exactly over the azimuthal angle of the intermediate momentum. Numerical solution of the resulting equation is feasible without employing a…

Nuclear Theory · Physics 2016-09-08 George Caia , Vladimir Pascalutsa , Louis E. Wright

Optical properties of nonmagnetic structures that support artificial optically-induced magnetic responses have recently attracted surging interest. Here we conduct symmetry-dictated investigations into scattering properties of nonmagnetic…

Optics · Physics 2020-04-02 Qingdong Yang , Weijin Chen , Yuntian Chen , Wei Liu

This article is concerned with the time-harmonic electromagnetic (EM) scattering from a generic inhomogeneous medium. It is shown that if there is a right corner on the support of the medium, then it scatters every pair of incident EM…

Analysis of PDEs · Mathematics 2016-11-15 Hongyu Liu , Jingni Xiao

Depolarization dyadics play a central role in theoretical studies involving scattering from small particles and homogenization of particulate composite materials. Closed-form expressions for depolarization dyadics have been developed for…

Optics · Physics 2025-04-08 Tom G. Mackay , Akhlesh Lakhtakia

We propose a novel method for the efficient and accurate iterative solution of frequency domain integral equations (IEs) that are used for large/multi-scale electromagnetic scattering problems. The proposed method uses a novel…

Numerical Analysis · Mathematics 2025-12-22 Enes Koç , Mert Kalfa , Secil E. Dogan , Vakur B. Ertürk

In this paper, we introduce an alternative representation of the electromagnetic field scattered from a homogeneous sphere coated with a homogeneous layer of uniform thickness. Specifically, we expand the scattered field using a set of…

Optics · Physics 2017-08-02 Mariano Pascale , Giovanni Miano , Carlo Forestiere

In this paper we present a new regularized electric flux volume integral equation (D-VIE) for modeling high-contrast conductive dielectric objects in a broad frequency range. This new formulation is particularly suitable for modeling…

Image and Video Processing · Electrical Eng. & Systems 2021-08-25 Clément Henry , Adrien Merlini , Lyes Rahmouni , Francesco P. Andriulli

We consider time-harmonic acoustic scattering by planar sound-soft (Dirichlet) and sound-hard (Neumann) screens embedded in $\mathbb{R}^n$ for $n = 2$ or $3$. In contrast to previous studies in which the screen is assumed to be a bounded…

Analysis of PDEs · Mathematics 2017-09-28 Simon N. Chandler-Wilde , David P. Hewett

Electroactive polymers such as dielectric elastomers (DEs) have attracted significant attention in recent years. Computational techniques to solve the coupled electromechanical system of equations for this class of materials have…

Computational Physics · Physics 2018-04-03 Saman Seifi , K. C. Park , Harold S. Park

The optical properties of infinite planar array of scattering particles, metasurfaces and metagratings, are attracting special attention lately for their rich phenomenology, including both plasmonic and high-refractive-index dielectric…

Controlling the electromagnetic helicity and directionality of the light scattered by dielectric particles is paramount to a variety of phenomenology of interest in all-dielectric optics and photonics. In this Letter, we show that the…

This paper is concerned with the analysis of time-harmonic electromagnetic scattering from plasmonic inclusions in the finite frequency regime beyond the quasi-static approximation. The electric permittivity and magnetic permeability in the…

Analysis of PDEs · Mathematics 2019-01-29 Hongjie Li , Shanqiang Li , Hongyu Liu , Xianchao Wang

We propose a boundary integral formulation for the dynamic problem of electromagnetic scattering and transmission by homogeneous dielectric obstacles. In the spirit of Costabel and Stephan, we use the transmission conditions to reduce the…

Numerical Analysis · Mathematics 2025-05-20 Tonatiuh Sánchez-Vizuet

Manipulation of radiation is required for enabling a span of electromagnetic applications. Since properties of antennas and scatterers are very sensitive to a surrounding environment, macroscopic artificially created materials are good…

The generalized Debye source representation of time-harmonic electromagnetic fields yields well-conditioned second-kind integral equations for a variety of boundary value problems, including the problems of scattering from perfect electric…

Numerical Analysis · Mathematics 2019-02-18 Charles L. Epstein , Leslie Greengard , Michael O'Neil

A coupled hybridizable discontinuous Galerkin (HDG) and boundary integral (BI) method is proposed to efficiently analyze electromagnetic scattering from inhomogeneous/composite objects. The coupling between the HDG and the BI equations is…

Computational Engineering, Finance, and Science · Computer Science 2023-06-21 Ran Zhao , Ming Dong , Liang Chen , Jun Hu , Hakan Bagci