Multilevel Plane Wave Time Domain-Enhanced MOT Solver for Analyzing Electromagnetic Scattering from Objects Residing in Lossy Media

Jiang, Peilin; Michielssen, E.

doi:10.1109/aps.2005.1552540

Cited by 7 publications

(9 citation statements)

References 2 publications

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“…Numbered references are for papers published as a result of this activity listed in Section 4. [11,12,13,17,20,34,45,48].…”

Section: Key Resultsmentioning

confidence: 99%

Fast Multipole / Wavelet-IML Hybrids for Electromagnetic Analysis

Michielssen¹,

Cangellaris²,

Chew³

et al. 2005

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Public Reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. In recent years, a variety of computational schemes have been developed that accelerate the iterative solution of the dense matrix equations that arise upon discretizing boundary integral equations pertinent to the description of electromagnetic scattering problems. These schemes largely fall into two categories: (i) fast multipole methods and (ii) wavelet/multiresolution schemes. The overall goal of this project is to develop and catalogue all practical hybrids between fast multipole solvers and multiresolution schemes useful to the analysis of electromagnetic boundary value problems. To this end, we developed (i) hybrid plane wave time domain (PWTD) -multiresolution schemes pertinent to the construction of PWTD schemes for lossy media, (ii) PWTD schemes for 2D environments, (iii) PWTD solvers for microstrip structures, (iv) PWTD schemes for low-frequency solvers, (v) PWTD schemes for quasi-planar environments, (vi) PWTD schemes for periodic kernels, (vii) Time-Domain Adaptive Integral (TD-AIM) kernels for solving timedomain integral equations, (viii) TD-AIM accelerated hybrid time domain integral equation -SPICE based circuit solvers, and (ix) a novel multigrid accelerator for the full wave finite element analysis of electromagnetic phenomena. Each and every of these solvers uses a multiresolution framework, either in space, time, or space-time to accelerate a boundary integral or finite element solver pertinent to the analysis of electromagnetic radiation, scattering, or guidance problems beyond what is possible using vanilla fastmultipole methods.

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“…Numbered references are for papers published as a result of this activity listed in Section 4. [11,12,13,17,20,34,45,48].…”

Section: Key Resultsmentioning

confidence: 99%

Fast Multipole / Wavelet-IML Hybrids for Electromagnetic Analysis

Michielssen¹,

Cangellaris²,

Chew³

et al. 2005

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“…The cost of time marching stays exactly the same. 3) For FFT or PWTD-accelerated MOT schemes [3], [4], the discrete summation that is present on the right-hand side of (19) can be computed efficiently during time marching using blocked-FFTs [11].…”

Section: B Discretizationmentioning

confidence: 99%

“…For unaccelerated MOT schemes, the multipliers in the outer summation are simply combined with the matrix entries resulting from the convolution of the Green function and basis functions. For FFT-or PWTD-accelerated MOT schemes [3], [4], the outer summation is computed efficiently using blocked-FFTs [11].…”

Section: Introductionmentioning

confidence: 99%

“…This is simply due to the fact that Green function of such a medium has a temporal tail [7]. Consequently, computation of the convolution of the Green function and currents becomes very costly, and the resulting marching-on-in-time (MOT)-based TDSIE solvers have to be accelerated using blocked fast Fourier transform Manuscript (blocked-FFT) [3], plane-wave time domain (PWTD) [4], and/or Prony-series [5], [6] schemes. The first MOT scheme [2] developed for lossy dielectrics solves four coupled TDSIEs constructed in tangential and normal components of the fields on the interface between the lossy scatterer and the lossless background medium.…”

Section: Introductionmentioning

confidence: 99%

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MOT Solution of the PMCHWT Equation for Analyzing Transient Scattering from Conductive Dielectrics

Uysal

Ülkü

Bağcı

2015

Antennas Wirel. Propag. Lett.

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Transient electromagnetic interactions on conductive dielectric scatterers are analyzed by solving the Poggio-Miller-Chan-Harrington-Wu-Tsai (PMCHWT) surface integral equation with a marching on-in-time (MOT) scheme. The proposed scheme, unlike the previously developed ones, permits the analysis on scatterers with multiple volumes of different conductivity. This is achieved by maintaining an extra temporal convolution that only depends on permittivity and conductivity of these volumes. Its discretization and computation come at almost no additional cost and do not change the computational complexity of the resulting MOT solver. Accuracy and applicability of the MOT-PMCHWT solver are demonstrated by numerical examples.

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“…The use of BEM to truncate the UTLM mesh gives more accurate boundary conditions that can be applied directly to the surface of the scatterers and also allows spatially distinct scatterers to interact without modelling the space between. However, in order for the UTLM-BEM coupling to become competitive in complexity with a pure UTLM scheme, the convolution central to the BEM part of the algorithm needs to be sped up by time domain matrix-vector accelerators such as the Plane Wave TimeDomain (PWTD) algorithm [29,30] or the Time Domain Adaptive Integral Method (TD-AIM) [31,32]. Transverse Magnetic (TM) case, the representation formulas can be written as…”

Section: Introduction the Simulation Of Transient Electromagnetic mentioning

confidence: 99%

A hybrid Boundary Element Unstructured Transmission-line (BEUT) method for accurate 2D electromagnetic simulation

Simmons

Cools

Sewell

2016

Journal of Computational Physics

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Multilevel Plane Wave Time Domain-Enhanced MOT Solver for Analyzing Electromagnetic Scattering from Objects Residing in Lossy Media

Cited by 7 publications

References 2 publications

Fast Multipole / Wavelet-IML Hybrids for Electromagnetic Analysis

Fast Multipole / Wavelet-IML Hybrids for Electromagnetic Analysis

MOT Solution of the PMCHWT Equation for Analyzing Transient Scattering from Conductive Dielectrics

A hybrid Boundary Element Unstructured Transmission-line (BEUT) method for accurate 2D electromagnetic simulation

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