Nonlinear reconstruction of the speed of sound in soft tissues: A comparison between the simulation results applying Kaczmarz and Contrast Source Inversion methods

Nonlinear ultrasound diffraction tomography reconstructs material parameters of a medium from scattered sound waves taking into account multiple scattering. The reconstruction algorithm based on the (KM) reconstructs the spatially varying speed of sound (SoS), equivalent to a spatially varying compressibility, in the time domain. On the other hand, the Contrast Source Inversion method (CSI) reconstructs the SoS from the refractive index of an inhomogeneous object in a known background in the frequency domain. In this work, the reconstruction results for the SoS applying both methods to the same object in the same medium are compared. The results show smaller errors for Kaczmarz method but higher convergence rate for the Contrast Source Inversion algorithm.