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This paper presents a second-kind surface integral equation method for the numerical solution of frequency-domain electromagnetic scattering problems by locally perturbed layered media in three spatial dimensions. Unlike standard…

Numerical Analysis · Mathematics 2022-11-10 Rodrigo Arrieta , Carlos Pérez-Arancibia

This paper presents a computation method of generalized scattering matrix (GSM) based on integral equations and the method of moments (MoM), specifically designed for antennas excited through waveguide ports. By leveraging two distinct…

Signal Processing · Electrical Eng. & Systems 2025-07-18 Chenbo Shi , Jin Pan , Xin Gu , Shichen Liang , Le Zuo

We present a solver for plane wave scattering from a periodic dielectric grating with a large number $M$ of inclusions lying in each period of its middle layer.Such composite material geometries have a growing role in modern photonic…

Numerical Analysis · Mathematics 2016-05-04 Jun Lai , Motoki Kobayashi , Alex Barnett

A new method to improve the accuracy and efficiency of characteristic mode (CM) decomposition for perfectly conducting bodies is presented. The method uses the expansion of the Green dyadic in spherical vector waves. This expansion is…

Computational Physics · Physics 2019-04-05 Doruk Tayli , Miloslav Capek , Lamyae Akrou , Vit Losenicky , Lukas Jelinek , Mats Gustafsson

A surface integral equation solver is proposed for fast and accurate simulation of interconnects embedded in stratified media. A novel technique for efficient computation of the multilayer Green's function is proposed. Using the Taylor…

Computational Physics · Physics 2019-03-11 Shashwat Sharma , Utkarsh R. Patel , Sean V. Hum , Piero Triverio

Multiple scattering methods are widely used to reduce the computational complexity of acoustic or electromagnetic scattering problems when waves propagate through media containing many identical inclusions. Historically, this numerical…

Numerical Analysis · Mathematics 2024-08-07 Carlos Borges , Leslie Greengard , Michael O'Neil , Manas Rachh

The multiple scattering theory (MST) is a Green's function method that has been widely used in electronic structure calculations for crystalline disordered systems. The key property of the MST method is the scattering path matrix (SPM) that…

Computational Physics · Physics 2024-12-16 Xiaoxu Li , Huajie Chen

We propose a new model to approximate the wave response of waveguides containing an arbitrary number of small inclusions. The theory is developed to consider any one-dimensional waveguide (longitudinal, flexural, shear, torsional waves or a…

Computational Physics · Physics 2024-05-07 Mario Lázaro , Richard Wiltshaw , Richard Vaughan Craster , Luis M. García-Raffi

This paper presents a new method, based on the well-known method of moments (MoM), for the numerical electromagnetic analysis of scattering and radiation from metallic or dielectric structures, or both structure types in the same…

Electromagnetic analysis of antennas embedded in or interacting with large surrounding structures poses inherent multiscale challenges: the antenna is electrically small yet geometrically detailed, while the environment is electrically…

Computational Engineering, Finance, and Science · Computer Science 2025-09-29 Chenbo Shi , Shichen Liang , Xin Gu , Jin Pan , Le Zuo

We present a method to systematically study multi-photon transmission in one dimensional systems comprised of correlated quantum emitters coupled to input and output waveguides. Within the Green's function approach of the scattering matrix…

Quantum Physics · Physics 2017-05-24 Tian Feng See , Changsuk Noh , Dimitris G. Angelakis

An efficient surface integral equation-based method is proposed for the analysis of electromagnetic scattering from multilayered media containing complex periodic inclusions. The proposed method defines equivalent currents at the interfaces…

Optics · Physics 2014-08-19 Nilufer A. Ozdemir , Christophe Craeye

Though the method-of-moments implementation of the electric-field integral equation plays an important role in computational electromagnetics, it provides many code-verification challenges due to the different sources of numerical error. In…

Computational Physics · Physics 2021-07-15 Brian A. Freno , Neil R. Matula , William A. Johnson

In this letter, an approach to accelerate the matrix filling in method of moment (MOM) is presented. Based on the fact that the Green function is dependent on the Euclidean distance between the source and the observation points, we…

Numerical Analysis · Mathematics 2024-12-20 Shunchuan Yang , Donglin Su

The single-particle Green's function (GF) of mesoscopic structures plays a central role in mesoscopic quantum transport. The recursive GF technique is a standard tool to compute this quantity numerically, but it lacks physical transparency…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Shu-Hui Zhang , Wen Yang , Kai Chang

This paper presents a novel approach for computing substructure characteristic modes. This method leverages electromagnetic scattering matrices and spherical wave expansion to directly decompose electromagnetic fields. Unlike conventional…

Classical Physics · Physics 2024-09-13 Chenbo Shi , Jin Pan , Xin Gu , Shichen Liang , Le Zuo

This paper proposes, for wave propagating in a globally perturbed half plane with a perfectly conducting step-like surface, a sharp Sommerfeld radiation condition (SRC) for the first time, an analytic formula of the far-field pattern, and a…

Numerical Analysis · Mathematics 2020-05-13 Wangtao Lu

In this work, a method for the simulation of guided wave propagation in solids defined by implicit surfaces is presented. The method employs structured grids of spectral elements in combination to a fictitious domain approach to represent…

Computational Engineering, Finance, and Science · Computer Science 2022-07-08 Sergio Nicoli , Konstantinos Agathos , Eleni Chatzi

We present a numerically efficient and accurate Multiple Scattering formalism, which is a generalization of the Multiple Scattering method with a truncated basis set [X. -G. Zhang and W. H. Butler, Phys. Rev. B 46,7433 (1992)]. Compared to…

Quantum Physics · Physics 2016-05-03 Junqing Xu , Keisuke Hatada , Didier Sébilleau , Li Song

The dispersion surfaces of printed periodic structures in layered media are efficiently computed using a full-wave method based on the periodic Method of Moments (MoM). The geometry of the dispersion surface is estimated after mapping the…

Computational Physics · Physics 2023-09-27 Denis Tihon , Shambhu Nath Jha , Modeste Bodehou , Christophe Craeye
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