Photoacoustic Sectional Imaging and Reconstruction Formulas for a Single Scattering Model
نویسندگان
چکیده
We consider photoacoustic sectional imaging experiments. Opposed to standard photoacoustic imaging (see e.g. [9, 8, 6, 10] for some mathematical and physical review papers), where the detectors record sets of two-dimensional projection data over time, from which the three-dimensional imaging data can be reconstructed, in sectional imaging, a single scan procedure is implemented to be able to reconstruct a set of two-dimensional slice imaging data. The advantages of the latter approach are a considerable increase in measurement efficiency and the possibility to perform selective plane imaging. However, the disadvantage is a decreased out-of-plane resolution (i.e. the direction orthogonal to the focusing plane). Experimentally, one can realize photoacoustic sectional imaging with pulsed laser illuminations focusing to a single plane and with focusing detectors for the measurement of the pressure wave [7]. Analogously to standard quantitative photoacoustic imaging we observe two decoupled reconstruction problems:
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