Levenberg–Marquardt Algorithm for Acousto-Electric Tomography based on the Complete Electrode Model

The inverse problem in acousto-electric tomography concerns the reconstruction of electric conductivity a body from knowledge power density function interior body. This results currents prescribed at boundary electrodes, and it can be obtained through electro-static measurements together with auxiliary acoustic probing. Previous works on used continuum model for electrostatic conditions; however, Electrical Impedance Tomography, is known that complete electrode much more realistic accurate. In this paper, posed using (smoothened) model, method based Levenberg–Marquardt iteration formulated appropriate spaces. system partial differential equations to solved each step. To increase computational efficiency stability, strategy both proposed. implemented numerically two-dimensional scenario, algorithm tested two different numerical phantoms, heart lung human brain model. Several experiments are carried out confirming feasibility, accuracy stability developed method.