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We present a review of the discrete dipole approximation (DDA), which is a general method to simulate light scattering by arbitrarily shaped particles. We put the method in historical context and discuss recent developments, taking the…

光学 · 物理学 2022-03-30 Maxim A. Yurkin , Alfons G. Hoekstra

In this letter we describe a new and simple approach for modulating the electromagnetic wave propagating in a dielectric medium in the form of solitons by considering the torque developed between the induced dipoles in the medium and…

可精确求解与可积系统 · 物理学 2007-05-23 V. Veerakumar , M. Daniel

For an isotropic and homogeneous nonlinear left-handed materials, for which the effective medium approximation is valid, Maxwell's equations for electric and magnetic fields lead naturally, within the slowly varying envelope approximation,…

斑图形成与孤子 · 物理学 2010-03-09 N. Lazarides , G. P. Tsironis

In plasma simulations, where the speed of light divided by a characteristic length is at a much higher frequency than other relevant parameters in the underlying system, such as the plasma frequency, implicit methods begin to play an…

数值分析 · 数学 2016-06-30 Yingda Cheng , Andrew J. Christlieb , Wei Guo , Benjamin Ong

The classical free-space solutions of Maxwell's equations for light propagation in one dimension include wave packets of any shape that travel at the speed of light. This includes highly-localised wave packets that remain localised at all…

量子物理 · 物理学 2022-09-19 Daniel Hodgson , Jake Southall , Robert Purdy , Almut Beige

A qubit lattice algorithm (QLA) is developed for Maxwell equations in a two-dimensional Cartesian geometry. In particular, the initial value problem of electromagnetic pulse scattering off a localized 2D dielectric object is considered. A…

光学 · 物理学 2022-11-09 G. Vahala , M. Soe , L. Vahala , A. K. Ram

This note offers a conceptually straightforward and efficient way to formulate and solve problems in the electromagnetics of moving media based on a representation of Maxwell's equations in terms of differential forms on spacetime together…

数学物理 · 物理学 2015-05-27 C E S Canovan , Robin W Tucker

The refraction of light by dispersion-free dielectric media can be modeled using well-localized macroscopic wave packets, enabling a description in terms of pseudo-particles. This approach is often used in thought experiments to illustrate…

经典物理 · 物理学 2025-03-07 R. Dengler

Motivated by the discrete dipole approximation (DDA) for the scattering of electromagnetic waves by a dielectric obstacle that can be considered as a simple discretization of a Lippmann-Schwinger style volume integral equation for…

数值分析 · 数学 2025-08-01 Martin Costabel , Monique Dauge , Khadijeh Nedaiasl

Electron energy-loss spectroscopy (EELS) and cathodoluminescence (CL) are widely used experimental techniques for characterization of nanoparticles. The discrete dipole approximation (DDA) is a numerically exact method for simulating…

光学 · 物理学 2023-03-03 Alexander A. Kichigin , Maxim A. Yurkin

The premetric approach to electrodynamics provides a unified description of a wide class of electromagnetic phenomena. In particular, it involves axion, dilaton and skewon modifications of the classical electrodynamics. This formalism…

高能物理 - 理论 · 物理学 2009-11-13 Yakov Itin

Electromagnetic waves arise in many area of physics. Solutions are difficult to find in the general case. In this paper, we numerically integrate Maxwell equations in a 3D spherical polar coordinate system. Straightforward finite difference…

高能天体物理现象 · 物理学 2016-10-26 J. Petri

The differential form of the Maxwell's equations was first derived based on an assumption that the media are stationary, which is the foundation for describing the electro-magnetic coupling behavior of a system. For a general case in which…

经典物理 · 物理学 2022-08-29 Zhong Lin Wang

The propagation of electromagnetic waves in general media is modeled by the time-dependent Maxwell's partial differential equations (PDEs), coupled with constitutive laws that describe the response of the media. In this work, we focus on…

数值分析 · 数学 2017-10-11 Vrushali A. Bokil , Yingda Cheng , Yan Jiang , Fengyan Li

We derive and interpret solutions of time-harmonic Maxwell's equations with a vertical and a horizontal electric dipole near a planar, thin conducting film, e.g. graphene sheet, lying between two unbounded isotropic and non-magnetic media.…

经典物理 · 物理学 2016-05-04 Dionisios Margetis , Mitchell Luskin

In this manuscript we investigate the capabilities of the Discrete Dipole Approximation (DDA) to simulate scattering from particles that are much larger than the wavelength of the incident light, and describe an optimized publicly available…

光学 · 物理学 2007-05-23 Maxim A. Yurkin , Valeri P. Maltsev , Alfons G. Hoekstra

In this work, we rigorously derive effective dynamics for light from within a limited frequency range propagating in a photonic crystal that is modulated on the macroscopic level; the perturbation parameter $\lambda \ll 1$ quantifies the…

数学物理 · 物理学 2019-08-19 Giuseppe De Nittis , Max Lein

It is shown that the set of equations known as Maxwell's equations perfectly describe two very different systems: (1) the usual electromagnetic phenomena in vacuum or in the matter and (2) the deformation of isotropic solid lattices,…

综合物理 · 物理学 2016-10-05 G. Gremaud

By starting with the Maxwell theory of electromagnetism, we study the change of polarization state of light transmitting through optically anisotropic media. The basic idea is to reduce the Maxwell equation to the Schroedinger like equation…

凝聚态物理 · 物理学 2009-10-30 Hiroshi Kuratsuji , Shouhei Kakigi

We consider a system of nonlinear equations that extends the Maxwell theory. It was pointed out in a previous paper that symmetric solutions of these equations display properties characteristic of magnetic oscillations. In this paper I…

超导电性 · 物理学 2007-05-23 Artur Sowa
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