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Multilevel multipole-free fast algor...

Saville, Michael Andrew.

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Multilevel multipole-free fast algorithm for electromagnetic scattering problems in layered media.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Multilevel multipole-free fast algorithm for electromagnetic scattering problems in layered media./
作者:	Saville, Michael Andrew.
面頁冊數:	147 p.
附註:	Adviser: Weng Cho Chew.
Contained By:	Dissertation Abstracts International67-11B.
標題:	Engineering, Electronics and Electrical. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3242985
ISBN:	9780542990441

Multilevel multipole-free fast algorithm for electromagnetic scattering problems in layered media.
Saville, Michael Andrew.

Multilevel multipole-free fast algorithm for electromagnetic scattering problems in layered media. - 147 p.

Adviser: Weng Cho Chew.

Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.

A multilevel multipole-free algorithm is presented for solving electromagnetic scattering problems in the vicinity of a half space or layered medium. By replacing the multipole expansion in the fast inhomogeneous plane wave algorithm (FIPWA) with a multipole-free expansion, this new algorithm is simpler to derive and retains O (N log N) scaling in memory and processing time. To develop this new algorithm, known as the multipole-free fast inhomogeneous plane wave algorithm (MF-FIPWA), error control is established for arbitrary accuracy.

ISBN: 9780542990441Subjects--Topical Terms:

626636
Engineering, Electronics and Electrical.

Multilevel multipole-free fast algorithm for electromagnetic scattering problems in layered media.
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100 1 $a Saville, Michael Andrew. $3 1296581
245 1 0 $a Multilevel multipole-free fast algorithm for electromagnetic scattering problems in layered media.
300 $a 147 p.
500 $a Adviser: Weng Cho Chew.
500 $a Source: Dissertation Abstracts International, Volume: 67-11, Section: B, page: 6633.
502 $a Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.
520 $a A multilevel multipole-free algorithm is presented for solving electromagnetic scattering problems in the vicinity of a half space or layered medium. By replacing the multipole expansion in the fast inhomogeneous plane wave algorithm (FIPWA) with a multipole-free expansion, this new algorithm is simpler to derive and retains O (N log N) scaling in memory and processing time. To develop this new algorithm, known as the multipole-free fast inhomogeneous plane wave algorithm (MF-FIPWA), error control is established for arbitrary accuracy.
520 $a In addition, comparison of the memory usage and simulation time is presented for FIPWA and MF-FIPWA for moderate to large scale problems. Various alternate approaches to implementing MF-FIPWA are discussed in terms of how the fast algorithms set up translation matrices and where gains can be made. Finally, details of the advantages of using nonuniform sampling are provided. Results show 30% savings in memory usage and up to 20% savings in computing the matrix-vector product.
590 $a School code: 0090.
650 4 $a Engineering, Electronics and Electrical. $3 626636
650 4 $a Physics, Electricity and Magnetism. $3 1019535
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790 1 0 $a Chew, Weng Cho, $e advisor
791 $a Ph.D.
792 $a 2006
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