Validation of FFT-Based Algorithms for Large-Scale Modeling of Wave Propagation in Tissue

Abstract

We investigate accuracy of existing 2D pseudospectral and k-space formulations for simulating acoustic propagation in tissue or model scattering media. They are intended to provide insight into tissue-ultrasound interaction and a “test bed” for aberration correction schemes in medical imaging. Both methods employ FFT’s to evaluate spatial derivatives to high accuracy on coarse grids. The primary difference lies in the approach to time integration. Scattering in large-scale, 2D, inhomogeneous media is included. We compare simulations against analytical solutions to illustrate spatial and temporal discretization required for acceptable solutions.