Journal ArticleDOI
The PSTD algorithm: A time-domain method requiring only two cells per wavelength
Reads0
Chats0
TLDR
A pseudospectral time-domain (PSTD) method is developed for solutions of Maxwell's equations that uses the fast Fourier transform (FFT), instead of finite differences on conventional finite-difference–time-domain methods, to represent spatial derivatives.Abstract:
A pseudospectral time-domain (PSTD) method is developed for solutions of Maxwell's equations. It uses the fast Fourier transform (FFT), instead of finite differences on conventional finite-difference–time-domain (FDTD) methods, to represent spatial derivatives. Because the Fourier transform has an infinite order of accuracy, only two cells per wavelength are required, compared to 8–16 cells per wavelength required by the FDTD method for the same accuracy. The wraparound effect, a major limitation caused by the periodicity assumed in the FFT, is removed by using Berenger's perfectly matched layers. The PSTD method is a factor of 4D–8D more efficient than the FDTD methods (D is the dimensionality). © 1997 John Wiley & Sons, Inc. Microwave Opt Technol Lett 15: 158–165, 1997.read more
Citations
More filters
Journal ArticleDOI
An accurate algorithm for nonuniform fast Fourier transforms (NUFFT's)
Qing Huo Liu,N. Nguyen +1 more
TL;DR: Based on the (m, N, q)-regular Fourier matrix, a new algorithm is proposed for fast Fourier transform (FFT) of nonuniform (unequally spaced) data with accuracy much better than previously reported results with the same computation complexity.
Journal ArticleDOI
High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces
Shan Zhao,Guo-Wei Wei +1 more
TL;DR: In this paper, a series of hierarchical implicit derivative matching methods are proposed to restore the accuracy of high-order finite-difference time-domain (FDTD) schemes of computational electromagnetics (CEM) with material interfaces in one (1D) and two spatial dimensions (2D).
Journal ArticleDOI
A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm
TL;DR: This algorithm is benchmarked in several situations that are of interest for laser–plasma interactions and shows that it avoids a number of numerical artifacts, that would otherwise affect the physics in a standard PIC algorithm — including the zero-order numerical Cherenkov effect.
Journal ArticleDOI
Light propagation through atomic vapours
TL;DR: In this article, the theory necessary to model the propagation of light through an atomic vapour is presented, and analytical solutions to the theory are found, based on approximations to the numerical work.
Journal ArticleDOI
Discontinuous Galerkin Time-Domain Methods for Multiscale Electromagnetic Simulations: A Review
Jiefu Chen,Qing Huo Liu +1 more
TL;DR: This paper provides a comprehensive review of different DGTD schemes, highlighting the fundamental issues arising in each step of constructing a D GTD system, as well as the implementation of different time-stepping schemes.
References
More filters
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
A 3D perfectly matched medium from modified maxwell's equations with stretched coordinates
Weng Cho Chew,W.H. Weedon +1 more
TL;DR: 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.
Journal ArticleDOI
Comparison of accurate methods for the integration of hyperbolic equations
Heinz-Otto Kreiss,Joseph Oliger +1 more
TL;DR: In this paper, the authors investigate more accurate difference methods and show that fourth order methods are optimal in some sense, and compare these methods with a variant of the Fourier technique.
Journal ArticleDOI
Forward modeling by a Fourier method
Dan Kosloff,Edip Baysal +1 more
TL;DR: In this paper, a pseudospectral forward-modeling algorithm for solving the two-dimensional acoustic wave equation is presented, which utilizes a spatial numerical grid to calculate spatial derivatives by the fast Fourier transform.