Field-only integral equation method for time domain scattering of electromagnetic pulses
TLDR
In this paper, a non-singular boundary integral method is used to solve directly for the field components in the frequency domain, and Fourier transform is then used to obtain the complete space-time behavior.Abstract:
The scattering of electromagnetic pulses is described using a non-singular boundary integral method to solve directly for the field components in the frequency domain, and Fourier transform is then used to obtain the complete space-time behavior. This approach is stable for wavelengths both small and large relative to characteristic length scales. Amplitudes and phases of field values can be obtained accurately on or near material boundaries. Local field enhancement effects due to multiple scattering of interest to applications in microphotonics are demonstrated.read more
Citations
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Field-Only Surface Integral Equations: Scattering from a Dielectric Body
TL;DR: An efficient field-only nonsingular surface integral method to solve Maxwell's equations for the components of the electric field on the surface of a dielectric scatterer is introduced and can be used to solve for the magnetic field.
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Field-only surface integral equations: scattering from a perfect electric conductor
TL;DR: In this paper, a field-only boundary integral formulation of electromagnetics is derived without the use of surface currents that appear in the Stratton-Chu formulation, where the components of the electric field are obtained directly from surface integral equation solutions of three scalar Helmholtz equations for the field components.
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Eliminating the fictitious frequency problem in BEM solutions of the external Helmholtz equation
Evert Klaseboer,Florian D.E. Charlet,Boo Cheong Khoo,Qiang Sun,Qiang Sun,Derek Y. C. Chan,Derek Y. C. Chan +6 more
TL;DR: In this paper, the problem of the fictitious frequency spectrum resulting from numerical implementations of the boundary element method for the exterior Helmholtz problem is revisited, and it is shown that these fictitious frequencies do not necessarily have to correspond to the internal resonance frequency of the object.
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Helmholtz Decomposition and Boundary Element Method applied to Dynamic Linear Elastic Problems
TL;DR: In this paper, the displacement field for 3D dynamic elasticity problems in the frequency domain can be decomposed into a sum of a longitudinal and a transversal part known as a Helmholtz decomposition.
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Optical Forces and Torques on Eccentric Nanoscale Core–Shell Particles
TL;DR: In this article, it was shown that eccentric spherical core-shell nanoparticles can be used to generate considerable optical torques and achieve rotation rates exceeding 800 Hz, where the eccentricity is a result of the displacement of the center of the core from the shell.
References
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Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
Abstract: Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition involving perfectly conducting surfaces. An example is given of the scattering of an electromagnetic pulse by a perfectly conducting cylinder.
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Review of the formulation and applications of the finite-difference time-domain method for numerical modeling of electromagnetic wave interactions with arbitrary structures
TL;DR: The basis and applications of the finite-difference time -domain (FD-TD) numerical modeling approach for Maxwell's equations are reviewed, providing highly accurate modeling predictions for a wide variety of electromagnetic wave interaction problems.
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Hydromechanics of low-Reynolds-number flow. Part 1. Rotation of axisymmetric prolate bodies
Allen T. Chwang,T. Yao-Tsu Wu +1 more
TL;DR: In this article, a spatial distribution of singular torques, called rotlets, by which the rotational motion of a given body can be represented is explored, and exact solutions are determined in closed form for a number of body shapes, including the dumbbell profile, elongated rods and some prolate forms.
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The decoupled potential integral equation for time harmonic electromagnetic scattering
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