An inverse source problem for a variable speed wave equation with discrete-in-time sources. (17th June 2015)

• Record Type: Journal Article
• Authors: Hoop, Maarten V de; Tittelfitz, Justin
• Is Part Of: Inverse problems. Volume 31:Number 7(2015:Jul.)
• Publication Date: 2015-06-17
• Subjects: inverse problems -- wave equation -- inverse source problem -- geophysical imaging -- thermoacoustic tomography; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/0266-5611/31/7/075007
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: We consider a time-dependent inverse source problem for the inhomogeneous wave equation, with sources that are delta-like in time, and (roughly speaking) non-negative and of limited oscillation in space. We take the displacement of the wave on a fixed detection surface, over some time interval, as our data. We then use time-reversal from the boundary to generate a related waveform, and discuss how to identify sources (as well as artifacts) from this.