Numerical verification of time-domain moment method in ultrasound tomography

Abstract

In ultrasound tomography the time-domain moment method is very promising in that it has been shown to yield a close agreement between the time-spatial moment expansion and the true field representation. This paper introduces a numerical technique to compute the analytical solution for forward scattering by using a Bessel function series and the inverse discrete Fourier transform, and shows that the artifacts that occur are due to convolution aliasing and undersampling aliasing. Computer simulation has reconstructed these two types of aliasing separately, and has shown that they can be removed by a properly designed algorithm. This alias-free numerical solution is used to verify Cavicchi’s moment-method formulation. A significant improvement in numerical verification is then obtained.