کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1900268 | 1045293 | 2012 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: On an inverse source problem connected with photo-acoustic and thermo-acoustic tomographies On an inverse source problem connected with photo-acoustic and thermo-acoustic tomographies](/preview/png/1900268.png)
An inverse source problem which aims to determine the source density p0(x) taking place in the wave equation Δp(x,t)−(1/c2)∂2p(x,t)/∂t2=−p0(x)δ′(t) is considered. One assumes that p0(x) is a function of bounded support while p(x,t) can be measured on the boundary SS 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 SS. Two illustrative examples show the applicability as well as the effectiveness of the method. In one of these examples SS 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.
► An explicit expression for the source density taking place in the inverse problem is given.
► An effective numerical algorithm for practical applications is proposed.
► Two illustrative examples show the applicability as well as the accuracy of the theory.
Journal: Wave Motion - Volume 49, Issue 6, September 2012, Pages 595–604