Photoacoustic tomography with direction dependent data: an exact series reconstruction approach. (3rd October 2019)

• Record Type: Journal Article
• Authors: Zangerl, Gerhard; Moon, Sunghwan; Haltmeier, Markus
• Is Part Of: Inverse problems. Volume 35:Number 11(2019)
• Publication Date: 2019-10-03
• Subjects: photoacoustic tomography -- spherical geometry -- image reconstruction -- wave equation -- reconstruction formula -- Neumann data -- series inversion; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/ab2a30
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: Photoacoustic image reconstruction often assumes that the restriction of the acoustic pressure on the detection surface is given. However, commonly used detectors often have a certain directivity and frequency dependence, in which case the measured data are more accurately described as a linear combination of the acoustic pressure and its normal derivative on the detection surface. In this paper, we consider the inverse source problem for data that are a combination of the acoustic pressure and its normal derivative. For the special case of a spherical detection geometry we derive exact frequency domain reconstruction formulas. We present numerical results showing the robustness and validity of the derived formulas. Moreover, we compare several different combinations of the pressure and its normal derivative showing that used measurement model significantly affects the recovered initial pressure.