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Colloquia Archive
Untitled Document
| DATE: |
Friday, November 13th, 2009 |
| TITLE: |
ACOUSTIC SOURCE IDENTIFICATION USING MULTIPLE FREQUENCY INFORMATION |
| TIME: |
3:30 PM |
| LOCATION: |
GMCS 214 |
| SPEAKER: |
Nicolas Valdivia
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| ABSTRACT: |
The determination of an acoustical source from remote measurements of
the acoustic field has been the subject of intensive research. The
classical approach for the solution of this inverse problem is to reduce
it mathematically into solving an integral equation originally defined
by Porter and Bojarski, which is known to be non-unique at fixed
frequencies. Regardless of this non-uniqueness, there have been an great
amount of works based on the solution of this integral equation and for
particular design problems this non-uniqueness allows the introduction
of physical constraints to the solution that are related to energy
constraints. We consider the inverse problem of identifying the location
and shape of a finitely supported acoustic source function, separable
with respect to space and frequency, from measurements of the acoustic
field on a closed surface for many frequencies. In this setting we will
prove that the acoustic source can be identified uniquely. From the
method of the proof we derive an approach for the inverse problem which
translates into a simple and efficient numerical method. This work was
supported by the Office of Naval Research.
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| HOST: |
Jose E. Castillo |
| DOWNLOAD: |
PDF File |
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©2007 Computational Science Research Center, SDSU - All rights
reserved.
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Last
updated:
August 6, 2008 1:02 PM
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