Determining sound speed in weak inclusions in the ultrasound tomography problem

The paper is devoted to the problem of determining small sound speed fluctuations in medical ultrasound tomography. The primary aim of the paper is to determine the location of small inclusions, sound speeds in them and also to determine unknown boundary between the fatty and glandular tissues. The sound speeds in these tissues are known. In this paper a numerical method for solving this problem is proposed. The approach is based on visualization of unknown inner boundary and inclusions and determination of the sound speeds in inclusions using wave kinematics. The work is the continuation of the work [1], where the problem of visualization by the method of Reverse Time Migration was already solved. In addition, the problem of visualization of inclusions in the presence of strong inclusion is solved in this work. Note that kinematic approach does not work in this case.