title: A quasianalytical time domain solution for scattering from a homogeneous sphere.
abstract: A transient spherical multipole expansion-like solution for acoustic scattering from a spherical object is derived within a mesh-free and singularity-free time domain integral equation (TDIE) framework for the sound-soft, sound-rigid and penetrable cases. The method is based on an expansion of the time domain Green's function that allows independent evaluation of spatial and temporal convolutions. The TDIE system is solved by descretizing the integral equations in space and time, forming a matrix system via the method of moments, and solving the system with the marching on in time algorithm. Spatial discretization using tesseral harmonics leads to closed form expressions for spatial integrals, and use of a strictly band limited temporal interpolant permits efficient, accurate computation of temporal convolutions via numerical quadrature. The accuracy of these integrations ensures late time stability and accuracy of the deconvolution data. Results presented demonstrate the accuracy and convergence of the approach for broadband simulations compared with Fourier transformed analytical data.
authors.affiliation: Department of Electrical and Computer Engineering, Michigan State University, East Lansing, Michigan 48823.
authors.forename: Jie
authors.initials: J
authors.lastname: Li
authors.affiliation: Department of Electrical and Computer Engineering, Michigan State University, East Lansing, Michigan 48823.
authors.forename: Daniel
authors.initials: D
authors.lastname: Dault
authors.affiliation: Department of Electrical and Computer Engineering, Michigan State University, East Lansing, Michigan 48823.
authors.forename: Balasubramaniam
authors.initials: B
authors.lastname: Shanker