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Three-dimensional target electromagnetic scattering model basis functions and fast iterative technique

Author: XuGuangCai
Tutor: HuJun
School: University of Electronic Science and Technology
Course: Electromagnetic Field and Microwave Technology
Keywords: Multiresolution basis functions Incomplete Cholesky preconditioner Multi-zone iteration Multilevel fast multipole method
CLC: TN011
Type: Master's thesis
Year: 2009
Downloads: 129
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Abstract


Rapid analysis of three-dimensional target electromagnetic scattering problems has been to calculate the electromagnetic study of hotspots. Around the new basis functions and fast iterative technology research, including multiresolution basis functions and the multilevel fast multipole pole ring tree (Loop-Tree) basis function and the fast multipole method incomplete Cholesky preconditioner application phase extraction (Phase-Extracted) basis function and multi-zone iterative fast multi-pole method application and based on the multi-zone iterations fast multi pole method of correction technology. This paper first elaborated the integral equation methods for electromagnetic modeling. And the integral equation methods for solving method - the method of moments and its fast solution techniques - multilevel fast multipole method. Describes the electromagnetic scattering analysis in the pre-condition technology. The researchers then multiresolution basis functions, grid-based encryption constructed. RWG basis function based on the planar triangle slightly gold multiresolution basis functions with gamma matching method. Use of the the multiresolution basis function spectral characteristics, the method of moments and the multilevel fast multipole method preconditioned diagonal greatly accelerate the iterative convergence of the matrix equation. Secondly, in the processing of low-frequency problem, the use of traditional RWG basis functions Galerkin matching method, such that the bit size of the imbalance vector bit and scalar scalar cause the vector bit of information is flooded, low-frequency crash. Ring tree basis functions can overcome the low frequency collapse, but the spectral characteristics of the impedance matrix is ??very poor, resulting in very slow convergence of iterations of the matrix equation. Incomplete Cholesky preconditioned technology applications to the integral equation, greatly improve the spectral characteristics, and accelerate the iterative convergence of the matrix equation. Finally, in order to further improve the fast multipole method of calculation based on the multi-zone iteration multilayer capability, multi-zone iterative fast multi-pole method with a new patch basis function that phase extraction of basis functions combined, using very little unknown amount effective modeling of large target. And the effects of multi-zone combination of factors in the iterative algorithm to set the size of the various regions of a combination of factors, according to the strength of coupling various regions or target geometry features multi-zone iterations to achieve accelerated maintain reasonable accuracy the conditions solving speed.

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