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Existing approaches to image reconstruction in photoacoustic computedtomography (PACT) with acoustically heterogeneous media are limited to weaklyvarying media, are computationally burdensome, and/or cannot effectivelymitigate the effects of measurement data incompleteness and noise. In thiswork, we develop and investigate a discrete imaging model for PACT that isbased on the exact photoacoustic (PA) wave equation and facilitates thecircumvention of these limitations. A key contribution of the work is theestablishment of a procedure to implement a matched forward and backprojectionoperator pair associated with the discrete imaging model, which permitsapplication of a wide-range of modern image reconstruction algorithms that canmitigate the effects of data incompleteness and noise. The forward andbackprojection operators are based on the k-space pseudospectral method forcomputing numerical solutions to the PA wave equation in the time domain. Thedeveloped reconstruction methodology is investigated by use of bothcomputer-simulated and experimental PACT measurement data.

Full-Wave Iterative Image Reconstruction in Photoacoustic Tomography with Acoustically Inhomogeneous Media