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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.
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Multilevel multipole-free fast algorithm for electromagnetic scattering problems in layered media./
Author:
Saville, Michael Andrew.
Description:
147 p.
Notes:
Adviser: Weng Cho Chew.
Contained By:
Dissertation Abstracts International67-11B.
Subject:
Engineering, Electronics and Electrical. -
Online resource:
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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Multilevel multipole-free fast algorithm for electromagnetic scattering problems in layered media.
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147 p.
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Adviser: Weng Cho Chew.
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Source: Dissertation Abstracts International, Volume: 67-11, Section: B, page: 6633.
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Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.
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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
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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.
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School code: 0090.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3242985
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