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Inverse problems in scattering and a...

Valdivia, Nicolas Pedro.

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Inverse problems in scattering and acoustics.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Inverse problems in scattering and acoustics./
Author:	Valdivia, Nicolas Pedro.
Description:	111 p.
Notes:	Adviser: Victor Isakok.
Contained By:	Dissertation Abstracts International63-04B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3049659
ISBN:	0493641165

Inverse problems in scattering and acoustics.
Valdivia, Nicolas Pedro.

Inverse problems in scattering and acoustics. - 111 p.

Adviser: Victor Isakok.

Thesis (Ph.D.)--Wichita State University, 2002.

This dissertation work will describe two topics: the inverse problem of scattering and the inverse problem of acoustics.

ISBN: 0493641165Subjects--Topical Terms:

515831
Mathematics.

Inverse problems in scattering and acoustics.
LDR:02429nam 2200301 a 45 001 934651
005 20110509
008 110509s2002 eng d
020 $a 0493641165
035 $a (UnM)AAI3049659
035 $a AAI3049659
040 $a UnM $c UnM
100 1 $a Valdivia, Nicolas Pedro. $3 1258350
245 1 0 $a Inverse problems in scattering and acoustics.
300 $a 111 p.
500 $a Adviser: Victor Isakok.
500 $a Source: Dissertation Abstracts International, Volume: 63-04, Section: B, page: 1885.
502 $a Thesis (Ph.D.)--Wichita State University, 2002.
520 $a This dissertation work will describe two topics: the inverse problem of scattering and the inverse problem of acoustics.
520 $a For the inverse problem of scattering, we consider the uniqueness in the inverse obstacle scattering with general conductive boundary conditions. The idea is based on the original work of Isakov for transmission boundary conditions, which utilizes the solvability of the direct problem, orthogonality relations, approximation to solutions of the direct problem and singular solutions. The methodology used is constructive and allows an extension to more general conditions and numerical methods.
520 $a For the inverse problem in acoustics, we consider the problem of detecting the source of acoustical noise inside an interior domain from measurements of the acoustical pressure field inside the domain. Mathematically this field satisfies the Helmholtz equation. For this work we just consider the three-dimensional case. We show that any regular solution of this equation admits a unique representation by a single layer potential, so that the problem is equivalent to the solution of a linear integral equation of the first kind. We discretize the integral equation into a linear matrix system by a boundary element method to obtain its numerical solution. This solution will be obtain using regularization methods, since it is well known that the resulting matrix system is ill-posed. We show examples of the recovery for three geometries: a sphere, a ellipsoid and a cylinder with a floor modeling the interior of an aircraft cabin.
590 $a School code: 0260.
650 4 $a Mathematics. $3 515831
650 4 $a Physics, Acoustics. $3 1019086
690 $a 0405
690 $a 0986
710 2 0 $a Wichita State University. $3 1022756
773 0 $t Dissertation Abstracts International $g 63-04B.
790 $a 0260
790 1 0 $a Isakok, Victor, $e advisor
791 $a Ph.D.
792 $a 2002
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3049659