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Related papers: Electromagnetic Multipole Theory for Two-dimension…

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When a set of charged or dyonic objects scatter and subsequently disperse, the process generically emits electromagnetic radiation. The classical soft photon theorem constrains the constant term and leading power-law fall-off of the emitted…

High Energy Physics - Theory · Physics 2025-11-27 Sarthak Duary , Pabitra Ray

A finite element method (FEM) for solving the complex valued k({\omega}) vs. {\omega} dispersion curve of a 3D metamaterial/photonic crystal system is presented. This 3D method is a generalization of a previously reported 2D eigenvalue…

Materials Science · Physics 2015-05-28 Chris Fietz , Yaroslav Urzhumov , Gennady Shvets

The symmetry studies of Maxwell equations gave new insight on the nature of electromagnetic (EM) field. It has in general case quaternion single structure, consisting of four independent field constituents, which differ with each other by…

Quantum Physics · Physics 2011-09-21 Dmitri Yerchuck , Alla Dovlatova , Andrey Alexandrov

Recent work on developing novel integral equation formulations has involved using potentials as opposed to fields. This is a consequence of the additional flexibility offered by using potentials to develop well conditioned systems. Most of…

Computational Physics · Physics 2017-06-12 Jie Li , Xin Fu , Balasubramaniam Shanker

We study semi-analytically the light emission and absorption properties of arbitrary stratified photonic structures with embedded two-dimensional magnetoelectric point scattering lattices, as used in recent plasmon-enhanced LEDs and solar…

Optics · Physics 2017-08-28 Yuntian Chen , A. Femius Koenderink

The Lorenz--Mie formulation of electromagnetic scattering by a homogeneous, isotropic, dielectric-magnetic sphere was extended to incorporate topologically insulating surface states characterized by a surface admittance $\gamma$.…

Optics · Physics 2020-03-31 Akhlesh Lakhtakia , Tom G. Mackay

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

A deep learning scheme is proposed to solve the electromagnetic (EM) scattering problems where the profile of the dielectric scatterer of interest is incomplete. As a compensation, a limited amount of scattering data is provided, which is…

Computational Engineering, Finance, and Science · Computer Science 2025-05-06 Ji-Yuan Wang , Xin-Yue Lou , Liang Zhang , Yun-Chuan Wang , Xiao-Min Pan

In this work we (i) extend previous 1D studies of electromagnetic (EM) wave propagation in an over-dense plasma-metamaterial composite into two spatial dimensions and (ii) study blocking of EM waves by the composite 2D structures…

Plasma Physics · Physics 2025-08-18 D. Tsiklauri , I. Morrison

We develop a fast, accurate, and robust technique to model the electromagnetic response of a two-dimensional (2D) waveguide-fed metasurface aperture. The geometry under consideration consists of a parallel-plate waveguide with an array of…

Computational Physics · Physics 2018-08-01 Laura Pulido-Mancera , Mohammadreza F. Imani , Patrick T. Bowen , Nathan Kundtz , David R. Smith

We investigate the three-dimensional~(3D) and two-dimensional~(2D) charge distributions of a spin-one particle in terms of the multipole expansion. On account of the geometrical difference between 2D and 3D spaces, projecting the 3D…

High Energy Physics - Phenomenology · Physics 2022-08-17 June-Young Kim

Microwave absorption spectra of a single square of two-dimensional electrons (2DES) have been investigated using an optical detection technique. Fundamental dipole and harmonic quadrupole plasmon modes have been identified and compared to…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 A. M. Zarezin , D. Mylnikov , A. S. Petrov , D. Svintsov , P. A. Gusikhin , I. V. Kukushkin , V. M. Muravev

The efficient use of a multipole expansion of the far field for rapid numerical modeling and optimization of the optical response from ordered and disordered arrays of various structural elements is complicated by the ambiguity in choosing…

Optics · Physics 2023-11-23 Alexander V. Kildishev , Karim Achouri , Daria Smirnova

An asymptotic theory is developed to generate equations that model the global behaviour of electromagnetic waves in periodic photonic structures when the wavelength is not necessarily long relative to the periodic cell dimensions;…

Mathematical Physics · Physics 2015-06-09 B. J. Maling , D. J. Colquitt , R. V. Craster

We investigate the electromagnetic propagation in two-dimensional photonic crystals, formed by parallel dielectric cylinders embedded a uniform medium. The frequency band structure is computed using the standard plane-wave expansion method,…

Optics · Physics 2009-11-10 Liang-Shan Chen , Chao-Hsien Kuo , Zhen Ye

We study the quantum scattering in two spatial dimensions (2D). Our computational scheme allows to quantitatively analyze the scattering parameters for the strong anisotropy of the interaction potential. High efficiency of the method is…

Quantum Physics · Physics 2015-06-19 Eugene A. Koval , Oksana A. Koval , Vladimir S. Melezhik

The optical theorem relates the total scattering cross-section of a given structure with its forward scattering, but does not impose any restrictions on other directions. Strong backward-forward asymmetry in scattering could be achieved by…

Other Condensed Matter · Physics 2016-11-22 Vitali Kozlov , Dmitry Filonov , Alexander S. Shalin , Ben Z. Steinberg , Pavel Ginzburg

We develop a simple and reliable analytical model that allows describing the electromagnetic response of all-dielectric metasurfaces consisting of a single-layer array of high-permittivity spherical particles. By combining Mie theory with a…

Classical Physics · Physics 2020-12-21 Alessio Monti , Andrea Alù , Alessandro Toscano , Filiberto Bilotti

This paper presents a fast wavefield evaluation method for two-dimensional wave scattering problems. The proposed method is based on a modified version of proxy-surface-accelerated interpolative decomposition, making it effective even if…

Numerical Analysis · Mathematics 2025-03-05 Yasuhiro Matsumoto

The multipole expansion of a nano-photonic structure's electromagnetic response is a versatile tool to interpret optical effects in nano-optics, but it only gives access to the modes that are excited by a specific illumination. In…