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In this article we study some classical aspects of Podolsky Electrodynamics in the static regime. We develop the multipole expansion for the theory in both the electrostatic and the magnetostatic cases. We also address the problem of…

High Energy Physics - Theory · Physics 2016-08-03 C. A. Bonin , B. M. Pimentel , P. H. Ortega

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…

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

The general theory for electric current multipoles appearing at the motion of magnetic dipoles and change in these values or orientation has been suggested. Static multipoles, including an anapole, have been studied in detail.

Classical Physics · Physics 2014-02-18 Alexander J. Silenko

Multipoles are paramount for describing electromagnetic fields in many areas of nanoscale optics, playing an essential role for the design of devices in plasmonics and all-dielectric nanophotonics. Challenging the traditional division into…

We study the possible expansion of the electromagnetic field scattered by a strictly convex metallic nanoparticle with dispersive material parameters placed in a homogeneous medium in a low-frequency regime as a sum of modes oscillating at…

Mathematical Physics · Physics 2021-05-20 Habib Ammari , Pierre Millien , Alice L. Vanel

We present a new, fully analytical point scattering model which can be applied to arbitrary anisotropic magneto-electric dipole scatterers, including split ring resonators (SRRs), chiral and anisotropic plasmonic scatterers. We have taken…

Optics · Physics 2012-08-21 I. Sersic , C. Tuambilangana , T. Kampfrath , A. F. Koenderink

Various procedures for expressing the multipolar expansion of the electromagnetic field are considered with application to the calculation of the radiated power. Some results from literature are discussed and perspective of developing the…

Physics Education · Physics 2007-05-23 Irina Dumitriu , C. Vrejoiu

Aggregates immersed in a plasma or radiative environment will have charge distributed over their extended surface. Previous studies have modeled the aggregate charge using the monopole and dipole terms of a multipole expansion, with results…

Computational Physics · Physics 2016-05-04 Lorin S. Matthews , Douglas A. Coleman , Truell W. Hyde

In modern nanophotonics, multipolar interference plays an indispensable role to realize novel optical devices represented by metasurfaces with unprecedented functionalities. Not only to engineer sub-wavelength structures that constitute…

Optics · Physics 2021-05-28 Tatsuki Hinamoto , Minoru Fujii

Meta-atoms, nano-antennas, plasmonic particles and other small scatterers are commonly modeled in terms of their modes. However these modal solutions are seldom determined explicitly, due to the conceptual and numerical difficulties in…

Optics · Physics 2014-08-08 David A. Powell

In a scattering experiment, the induced dipole moments of a magnetoelectric point scatterer in response to driving fields are given by its polarizability tensor \alpha. Its linewidth will be dictated by the local density of optical states…

Optics · Physics 2013-03-19 Andrej Kwadrin , A. Femius Koenderink

A theoretical method for the systematic definition and determination of Cartesian and spherical electromagnetic (onshell) formfactors and multipole moments for particles or composite systems from electromagnetic Breit-frame current…

Nuclear Theory · Physics 2007-05-23 F. Kleefeld

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

Sources of long wavelength radiation are naturally described by an effective field theory (EFT) which takes the form of a multipole expansion. Its action is given by a derivative expansion where higher order terms are suppressed by powers…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Andreas Ross

We calculate cross sections for low energy elastic exciton-exciton scattering within the effective mass approximation. Unlike previous theoretical approaches, we give a complete, non-perturbative treatment of the four-particle scattering…

Condensed Matter · Physics 2010-07-28 J. Shumway , D. M. Ceperley

Scattering problems are the classical tools for modeling of light-matter interaction. In this paper, we investigate the solution of the dipole scattering problem under different incident radiation.s In particular, we compare the two cases…

Optics · Physics 2024-10-22 Yuriy A. Akimov

A method is presented which allows the exact construction of conserved (i.e. divergence-free) current vectors from appropriate sets of multipole moments. Physically, such objects may be taken to represent the flux of particles or electric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Abraham I. Harte

The problem of electromagnetic scattering by cylinders is an old problem that has been studied in many configurations. The present publication provides a theoretical study on a not yet investigated general case: the set of finite metallic…

Computational Physics · Physics 2026-03-31 Matthieu Elineau , Lucille Kuhler , Alexandre Chabory

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…