Abstract
To effectively use photoacoustic tomography to obtain cross-sectional images, a combination of a focused laser illumination and focusing acoustic detectors is used. In this work, we discuss how to incorporate cylindrically shaped focusing detectors in the mathematical modelling of photoacoustics and derive approximative reconstruction formulas. Moreover, we show how such focusing detectors combined with a focused illumination can yield a quantitative reconstruction of the material properties (the transport coefficient and the product of the Grüneisen parameter and the absorption coefficient) of a weakly scattering medium.
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