Journal ArticleDOI
A 3D perfectly matched medium from modified maxwell's equations with stretched coordinates
Weng Cho Chew,W.H. Weedon +1 more
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A modified set of Maxwell's equations is presented that includes complex coordinate stretching along the three Cartesian coordinates that allow the specification of absorbing boundaries with zero reflection at all angles of incidence and all frequencies.Abstract:
A modified set of Maxwell's equations is presented that includes complex coordinate stretching along the three Cartesian coordinates. The added degrees of freedom in the modified Maxwell's equations allow the specification of absorbing boundaries with zero reflection at all angles of incidence and all frequencies. The modified equations are also related to the perfectly matched layer that was presented recently for 2D wave propagation. Absorbing-material boundary conditions are of particular interest for finite-difference time-domain (FDTD) computations on a single-instruction multiple-data (SIMD) massively parallel supercomputer. A 3D FDTD algorithm has been developed on a connection machine CM-5 based on the modified Maxwell's equations and simulation results are presented to validate the approach. © 1994 John Wiley & Sons, Inc.read more
Citations
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Journal ArticleDOI
An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices
TL;DR: In this paper, a perfectly matched layer (PML) absorbing medium composed of a uniaxial anisotropic material is presented for the truncation of finite-difference time domain (FDTD) lattices.
Journal ArticleDOI
Convolution PML (CPML): An efficient FDTD implementation of the CFS–PML for arbitrary media
J. Alan Roden,Stephen D. Gedney +1 more
TL;DR: A novel implementation of perfectly matched layer (PML) media is presented for the termination of FDTD lattices based on the stretched coordinate form of the PML, a recursive convolution, and the use of complex frequency, shifted (CFS) PML parameters.
Journal ArticleDOI
A perfectly matched anisotropic absorber for use as an absorbing boundary condition
TL;DR: In this paper, an alternative formulation of the "perfectly matched layer" mesh truncation scheme is introduced, based on using a layer of diagonally anisotropic material to absorb outgoing waves from the computation domain.
Book ChapterDOI
9 – Computational Electromagnetics: The Finite-Difference Time-Domain Method
TL;DR: The principal computational approaches for Maxwell's equations included the high-frequency asymptotic methods of Keller (1962) as well as Kouyoumjian and Pathak (1974) and the integral equation techniques of Harrington (1968) .
Journal ArticleDOI
Theory of the spontaneous optical emission of nanosize photonic and plasmon resonators.
TL;DR: A self-consistent electromagnetic theory of the coupling between dipole emitters and dissipative nanoresonators that predicts that a spectral detuning between the emitter and the resonance does not necessarily result in a Lorentzian response in the presence of dissipation.
References
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Journal ArticleDOI
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.
Journal ArticleDOI
A perfectly matched layer for the absorption of electromagnetic waves
TL;DR: Numerical experiments and numerical comparisons show that the PML technique works better than the others in all cases; using it allows to obtain a higher accuracy in some problems and a release of computational requirements in some others.
Journal ArticleDOI
Absorbing boundary conditions for the numerical simulation of waves
Björn Engquist,Andrew J. Majda +1 more
TL;DR: This work develops a systematic method for obtaining a hierarchy of local boundary conditions at these artifical boundaries that not only guarantee stable difference approximations, but also minimize the (unphysical) artificial reflections that occur at the boundaries.
Journal ArticleDOI
Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations
TL;DR: In this paper, highly absorbing boundary conditions for two-dimensional time-domain electromagnetic field equations are presented for both two-and three-dimensional configurations and numerical results are given that clearly exhibit the accuracy and limits of applicability of these boundary conditions.
Journal ArticleDOI
A nonreflecting boundary condition for discrete acoustic and elastic wave equations
TL;DR: In this paper, a nonreflecting boundary condition for the finite-difference method is proposed, which is based on gradual reduction of the amplitudes in a strip of nodes along the boundary of the mesh.