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   -> Volume 7, Issue 4


Thesis: Matrix compression in wave scattering
 
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Zachi Baharav (zachi@hp.technion.ac.il)
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PostPosted: Wed Mar 25, 1998 12:32 pm    
Subject: Thesis: Matrix compression in wave scattering
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#6 Thesis: Matrix compression in wave scattering

Thesis Title: "Basis construction for efficient scattering analysis"

Author: Zachi Baharav
Supervisor: Prof. Y. Leviatan

Abstract

This work deals with the numerical solution of electromagnetic
scattering problems. The motivation for the work is the wish to reduce
the problem complexity when dealing with scattering by bodies
containing wide range of length-scales. The work deals mainly with the
integral formulation of the problem, followed by a Method of Moments
discretization process. A few methods to reduce the size of the
resulting impedance matrix, and thus ease the computational burden are
presented. The common feature of all these methods is that instead of
trying to render the impedance matrix sparse (as previous methods do),
these methods strive at a smaller impedance matrix. Thus, instead of
solving a (possibly sparse) large matrix, we face a much smaller
matrix. Moreover, these methods have applications to solution
refinement procedures, finite-array structures, and more. The main
theme of all these methods is to combine ideas from the
signal-processing community (wavelets, filters, compression, alike),
with the insight into the physics of the problem (physical optics,
radiation patterns, and alike), to facilitate an easier solution
process.

The thesis is available at
http://shaked.technion.ac.il/~zachi

Zachi Baharav
e-Mail: zachi@hp.technion.ac.il
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