Mathematical modeling in photoacoustic imaging of small absorbers. (English) Zbl 1257.74091
Summary: This paper is devoted to mathematical modeling in photoacoustic imaging of small absorbers. We propose a new method for reconstructing small absorbing regions inside a bounded domain from boundary measurements of the induced acoustic signal. We also show the focusing property of the back-propagated acoustic signal. Indeed, we provide two different methods for locating a targeted optical absorber from boundary measurements of the induced acoustic signal. The first method consists of a MUltiple SIgnal Classification (MUSIC)-type algorithm and the second one uses a multifrequency approach. We also show results of computational experiments to demonstrate efficiency of the algorithms.
MSC:
74J25 | Inverse problems for waves in solid mechanics |
74L15 | Biomechanical solid mechanics |
35Q74 | PDEs in connection with mechanics of deformable solids |
92C55 | Biomedical imaging and signal processing |
35C20 | Asymptotic expansions of solutions to PDEs |
35L20 | Initial-boundary value problems for second-order hyperbolic equations |