A quasi-backscattering problem for inverse acoustic scattering in the Born regime. (17th June 2015)

• Record Type: Journal Article
• Authors: Haddar, Houssem; Rezac, Jacob D
• Is Part Of: Inverse problems. Volume 31:Number 7(2015:Jul.)
• Publication Date: 2015-06-17
• Subjects: inverse scattering problems -- MUSIC algorithm -- inverse problems; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/0266-5611/31/7/075008
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: We consider the problem of detecting three-dimensional inclusions from quasi-backscattering far field data generated by an incident field of time-harmonic fixed frequency plane waves modeled with the Born approximation. We assume only partial far field data is known and use a sampling-type method to reconstruct small obstacles and extended spherical obstacles. In particular, at the location of a device transmitting an incident wave, we assume far field data is collected only along a line extending a short distance from the transmitting device. Several numerical examples are provided to demonstrate the effectiveness of the approach.