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Analytical study and numerical solut...

Holman, Benjamin R.

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Analytical study and numerical solution of the inverse source problem arising in thermoacoustic tomography.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Analytical study and numerical solution of the inverse source problem arising in thermoacoustic tomography./
Author:	Holman, Benjamin R.
Description:	126 p.
Notes:	Source: Dissertation Abstracts International, Volume: 77-10(E), Section: B.
Contained By:	Dissertation Abstracts International77-10B(E).
Subject:	Applied mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10109037
ISBN:	9781339723648

Analytical study and numerical solution of the inverse source problem arising in thermoacoustic tomography.
Holman, Benjamin R.

Analytical study and numerical solution of the inverse source problem arising in thermoacoustic tomography. - 126 p.

Source: Dissertation Abstracts International, Volume: 77-10(E), Section: B.

Thesis (Ph.D.)--The University of Arizona, 2016.

In recent years, revolutionary "hybrid" or "multi-physics" methods of medical imaging have emerged. By combining two or three different types of waves these methods overcome limitations of classical tomography techniques and deliver otherwise unavailable, potentially life-saving diagnostic information. Thermoacoustic (and photoacoustic) tomography is the most developed multi-physics imaging modality.

ISBN: 9781339723648Subjects--Topical Terms:

2122814
Applied mathematics.

Analytical study and numerical solution of the inverse source problem arising in thermoacoustic tomography.
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020 $a 9781339723648
035 $a (MiAaPQ)AAI10109037
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100 1 $a Holman, Benjamin R. $3 3194810
245 1 0 $a Analytical study and numerical solution of the inverse source problem arising in thermoacoustic tomography.
300 $a 126 p.
500 $a Source: Dissertation Abstracts International, Volume: 77-10(E), Section: B.
500 $a Adviser: Leonid A. Kunyanksy.
502 $a Thesis (Ph.D.)--The University of Arizona, 2016.
520 $a In recent years, revolutionary "hybrid" or "multi-physics" methods of medical imaging have emerged. By combining two or three different types of waves these methods overcome limitations of classical tomography techniques and deliver otherwise unavailable, potentially life-saving diagnostic information. Thermoacoustic (and photoacoustic) tomography is the most developed multi-physics imaging modality.
520 $a Thermo- and photo- acoustic tomography require reconstructing initial acoustic pressure in a body from time series of pressure measured on a surface surrounding the body. For the classical case of free space wave propagation, various reconstruction techniques are well known. However, some novel measurement schemes place the object of interest between reflecting walls that form a de facto resonant cavity. In this case, known methods cannot be used.
520 $a In chapter 2 we present a fast iterative reconstruction algorithm for measurements made at the walls of a rectangular reverberant cavity with a constant speed of sound. We prove the convergence of the iterations under a certain sufficient condition, and demonstrate the effectiveness and efficiency of the algorithm in numerical simulations.
520 $a In chapter 3 we consider the more general problem of an arbitrarily shaped resonant cavity with a non constant speed of sound and present the gradual time reversal method for computing solutions to the inverse source problem. It consists in solving back in time on the interval [0, T] the initial/boundary value problem for the wave equation, with the Dirichlet boundary data multiplied by a smooth cutoff function. If T is sufficiently large one obtains a good approximation to the initial pressure; in the limit of large T such an approximation converges (under certain conditions) to the exact solution.
590 $a School code: 0009.
650 4 $a Applied mathematics. $3 2122814
650 4 $a Acoustics. $3 879105
690 $a 0364
690 $a 0986
710 2 $a The University of Arizona. $b Applied Mathematics. $3 1266624
773 0 $t Dissertation Abstracts International $g 77-10B(E).
790 $a 0009
791 $a Ph.D.
792 $a 2016
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10109037