Mpi-Based Parallelized Precorrected FFT Algorithm for Analyzing Scattering by Arbitrarily Shaped Three-Dimensional Objects - Abstract

Li, L.-W.; Wang, Y.-J.; Li, E.-P.

doi:10.1163/156939303322519685

Cited by 13 publications

(1 citation statement)

References 7 publications

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“…One of approaches for improving the efficiency of the VIE-MoM is the VIE in combination with the fast Fourier transform (FFT), and it already has several implementations, such as the VIE-AIM [3,4], the VIE-P-FFT [5,6], and the VIE-IE-FFT [7,8], which are simply called the FFT-based methods. These implementations are all transplanted from the corresponding versions [9][10][11][12] for the surface integral equation (SIE) [13]. Not long ago, a new realization, the FG-FFT, of the SIE in combination with the FFT for the electric field integral equation (EFIE) was proposed [14] and soon extended to the combined field integral equation (CFIE) [15].…”

Section: Introductionmentioning

confidence: 99%

VIE-FG-FFT for Analyzing EM Scattering from Inhomogeneous Nonmagnetic Dielectric Objects

Chen

Zhou

Wang

et al. 2014

International Journal of Antennas and Propagation

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A new realization of the volume integral equation (VIE) in combination with the fast Fourier transform (FFT) is established by fitting Green's function (FG) onto the nodes of a uniform Cartesian grid for analyzing EM scattering from inhomogeneous nonmagnetic dielectric objects. The accuracy of the proposed method is the same as that of the P-FFT and higher than that of the AIM and the IE-FFT especially when increasing the grid spacing size. Besides, the preprocessing time of the proposed method is obviously less than that of the P-FFT for inhomogeneous nonmagnetic dielectric objects. Numerical examples are provided to demonstrate the accuracy and efficiency of the proposed method.

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Section: Introductionmentioning

confidence: 99%

VIE-FG-FFT for Analyzing EM Scattering from Inhomogeneous Nonmagnetic Dielectric Objects

Chen

Zhou

Wang

et al. 2014

International Journal of Antennas and Propagation

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Fast Fourier Transforms in Electromagnetics

Guo

2014

Wiley Encyclopedia of Electrical and Electronics Engineering

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This Chapter review the fast Fourier transform (FFT) technique and its application to computational electromagnetics, especially to the fast solver algorithms including the Conjugate Gradient Fast Fourier Transform (CG‐FFT) method, Precorrected Fast Fourier Transform (pFFT) method, Adaptive Integral Method (AIM), Greens Function Interpolation with FFT (GI‐FFT) method and Integral Equations with FFT (IE‐FFT) method. The basic ideas used in the FFT applications are addressed while the brief introduction to integral equation method is conducted. The general formulation and procedure in the integral equation method, surface integral equations, volume integral equations, solutions to integral equations, and their implementations of fast Fourier transform algorithm are also briefed together with fast convolution using fast Fourier transform. Fast integral equation method developed based on fast Fourier transform are reviewed where conjugate gradient fast Fourier transform method, and precorrected fast Fourier transform method (where projection operators and interpolation operators are also highlighted), adaptive integral method, Greens function interpolation with FFT approach and integral equations with FFT method are also described. While the matching schemes for gradients of Green's functions are addressed, accuracy and complexity, memory requirement and computational cost, and error controls and estimations are also discussed.

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A parallel analysis of the scattering from inhomogeneous dielectric bodies by the volume integral equation and the precorrected‐FFT algorithm

Wang

Nie

et al. 2004

Micro & Optical Tech Letters

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In this paper, a parallel implementation of the precorrected fast Fourier transform (FFT) algorithm is presented to efficiently solve the volume‐integral equation for scattering from inhomogeneous dielectric objects. Several examples are given to demonstrate the efficiency and correctness of the message‐passing interface (MPI)‐based parallelization algorithm. © 2004 Wiley Periodicals, Inc. Microwave Opt Technol Lett 42: 77–79, 2004; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20214

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Mpi-Based Parallelized Precorrected FFT Algorithm for Analyzing Scattering by Arbitrarily Shaped Three-Dimensional Objects - Abstract

Cited by 13 publications

References 7 publications

VIE-FG-FFT for Analyzing EM Scattering from Inhomogeneous Nonmagnetic Dielectric Objects

VIE-FG-FFT for Analyzing EM Scattering from Inhomogeneous Nonmagnetic Dielectric Objects

Fast Fourier Transforms in Electromagnetics

A parallel analysis of the scattering from inhomogeneous dielectric bodies by the volume integral equation and the precorrected‐FFT algorithm

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