2007
DOI: 10.2528/pier07013005
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Efficient Treatment of 3d Time-Domain Electromagnetic Scattering Scenes by Disjointing Sub-Domains and With Consistent Approximations

Abstract: Abstract-Aim of this paper is to present an efficient scheme of domain decomposition to study, in the time domain, multiple scattering by separated obstacles and sources with any composition and geometry, in an homogeneous media. A method of decomposition into disjointed sub-domains is proposed, resting onto an homogeneous and adaptable approximation of coupling terms and leading to a natural parallelized and hybrid numerical schema. It permits to significantly lower the cumulative error of dissipation and/or … Show more

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Cited by 9 publications
(13 citation statements)
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“…These are particularly important in the implementation for TD-UTD solutions, which are primarily dependent on parameters determined by the ray propagation paths, because they are most used in the computations of UTD formulations. (11) is primarily determined by B n (t) and their derivatives as shown in (8). This section presents the values of [W mn ] N ×N for two well-known types of time basis functions commonly used in the numerical EM analysis, which allows one to further visualize its characteristics.…”
Section: Fd Solution Establishment Via Dual Relationships With Fouriementioning
confidence: 99%
See 1 more Smart Citation
“…These are particularly important in the implementation for TD-UTD solutions, which are primarily dependent on parameters determined by the ray propagation paths, because they are most used in the computations of UTD formulations. (11) is primarily determined by B n (t) and their derivatives as shown in (8). This section presents the values of [W mn ] N ×N for two well-known types of time basis functions commonly used in the numerical EM analysis, which allows one to further visualize its characteristics.…”
Section: Fd Solution Establishment Via Dual Relationships With Fouriementioning
confidence: 99%
“…Due to the needs of TD solutions, many efforts have been applied [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Typical TD approaches include using fast Fourier transform (FFT) or analytical time transform (ATT) [16,17] to directly inverse FD solutions into TD, finite difference time domain (FDTD) [18], TD integral approaches [19] and TD uniform geometrical theory of diffractions (TD-UTD) [13][14][15][16].…”
Section: Introductionmentioning
confidence: 99%
“…Another one could rest onto hybridization between several different schemes like FDTD, Finite Volume (FVTD) and Time Integrated Methods (TIM) [1]. Nevertheless, none of them are suitable in regard of the overall cost (in terms of memory and CPU time) to perform the computation of a large scene [2][3][4][5]. The main restrictive point to these approaches lies into the necessity to mesh the free space between the obstacles/sources.…”
Section: Introductionmentioning
confidence: 99%
“…Nevertheless, the widespread adoption of RT methods is still limited due to the high complexity and high computation time of the corresponding computer programs [21][22][23]. And, for the conventional RT algorithms such as ray tube method [17], the prediction accuracy is not satisfactory.…”
Section: Introductionmentioning
confidence: 99%