On an inverse source problem connected with photo-acoustic and thermo-acoustic tomographies

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• 作者：M. Idemen^a ; ^{midemen@gmail.com} ; A. Alkumru^b ; ^{alkumru@gyte.edu.tr}
• 关键词：Inverse source problem ; Photo-acoustics ; Thermo-acoustics ; Tomography ; Wave equation
• 刊名：Wave Motion
• 出版年：2012
• 期刊代码：85_01652125
• 类别：ph
• 出版时间：September, 2012
• 卷：49
• 期：6
• 页码：595-604
• 文件大小：351 K

摘要

An inverse source problem which aims to determine the source density taking place in the wave equation is considered. One assumes that is a function of bounded support while can be measured on the boundary of a convex domain D during a certain finite time interval [0,T]. An explicit expression of the solution is given in terms of the surface integral of the data on . Two illustrative examples show the applicability as well as the effectiveness of the method. In one of these examples consists of a spheroid while in the other it consists of a half of the spheroid and a disc. The problem is motivated by photo-acoustic and thermo-acoustic applications.