On finding an obstacle embedded in the rough background medium via the enclosure method in the time domain. (24th July 2015)

• Record Type: Journal Article
• Authors: Ikehata, Masaru
• Is Part Of: Inverse problems. Volume 31:Number 8(2015:Aug.)
• Publication Date: 2015-07-24
• Subjects: enclosure method -- inverse obstacle scattering -- through-the wall -- rough background; AMS -- 35R30; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/0266-5611/31/8/085011
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: A mathematical method for through-wall imaging via wave phenomena in the time domain is introduced. The method makes use of a single reflected wave over a finite time interval and gives us a criterion whether a penetrable obstacle exists or not in a general rough background medium. Moreover, if the obstacle exists, the lower and upper estimates of the distance between the obstacle and the center point of the support of the initial data are given. As an evidence of the potential of the method two applications are also given.