title: Acoustical wave propagator
abstract: In this paper, an explicit acoustical wave propagator (AWP) is introduced to describe the time-domain evolution of acoustical waves. To implement its operation on an initial state of wave motion, the acoustical wave propagator is approximated as a Chebyshev polynomial expansion, which converges to machine accuracy. The spatial gradient in each polynomial term is evaluated by a Fourier transformation scheme. Analysis and numerical examples demonstrated that this Chebyshev-Fourier scheme is highly accurate and computational effective in predicting time-domain acoustical wave propagation and scattering.
authors.affiliation: Department of Mechanical and Materials Engineering, The University of Western Australia, Nedlands, Australia.
authors.initials: J
authors.lastname: Pan
authors.initials: JB
authors.lastname: Wang