Acoustical wave propagator with modified Chebyshev expansion Original Research Article

This paper presents an improved expansion scheme for the acoustical wave propagator (AWP). This expansion employs a set of modified Chebyshev polynomials with the Bessel functions of the first kind as its expansion coefficients. As a result, the previous requirement of operator splitting in the time domain is removed, and the convergence property of the AWP scheme is significantly improved.