Compensation of Linearization Approximation Error in Acoustic Inverse Scattering Problem: Quantitative Reconstruction of Attenuation and Sound Speed Images

Abstract

For the realization of the acoustic parameter quantitative reconstruction of biological tissues by ultrasonic diffraction tomography, the author recently developed the backward propagation Rytov approximation to overcome the limitation of the weak scattering condition of tissuelike objects. A sound speed image with sufficient quantitative precision was realized. The problem, however, was that the precision of the attenuation image was limited when the sound speed contrast of the object was large. In this paper, a method for compensating the weak scattering approximation error is presented so that a compatible reconstruction of both sound speed and attenuation images can be realized. From numerical verification, the precision of the attenuation image after compensation is verified to be more superior than that before compensation.