TITLE:

ACOUSTIC SOURCE IDENTIFICATION USING MULTIPLE FREQUENCY INFORMATION

DATE:

Friday, November 13th, 2009

TIME:

3:30 PM

LOCATION:

GMCS 214

SPEAKER:

Nicolas Valdivia

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.

HOST:

Jose Castillo

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