Finite-element reconstruction of 2D circular scanning photoacoustic tomography with detectors in far-field condition

The finite-element method (FEM) has been a powerful numerical tool for the reconstruction of 2D circular scanning-based photoacoustic tomography (PAT) for its unrivaled ability to accommodate complex boundary conditions, quantitatively reconstruct different physical parameters, and enable low sampling frequency and fewer detector numbers. To reduce the computation cost, a smaller image domain is commonly used instead of the region surrounded by the transducer scanning trace. Then, the pressure data used for the reconstruction that is defined on the boundary of the image domain is usually obtained by directly time delaying the actual measured data. In this case, distortions will be aroused for targets that are away from the rotation center. In this work, we put forward a new data preprocessing method to overcome this problem with a virtual detector concept, in which the measured data for the virtual point detectors on the boundary of the reconstruction domain are generated by a summation of the signals from nearby true detectors. The complete removal of the distortions using our proposed algorithm was proven with experimental reconstruction results.