Padé approximants and their application to scattering from fluid media.
In this work, a numerical method for modeling the scattered acoustic pressure from fluid occlusions is described. The method is based on the asymptotic series expansion of the pressure expressed in terms of sound speed contrast between the host medium and entrained fluid occlusions. Padé approximants are used to extend the applicability of the result for larger values of sound speed contrast. For scattering from a circular cylinder, an improvement in convergence between the exact and numerical solutions is demonstrated. In the case of scattering from an inhomogeneous medium, a numerical solution with reduced order of Padé approximants is presented.
University of Massachusetts Lowell, 1 University Avenue, Lowell, Massachusetts 01854, USA. max_denis@uml.edu
Max
M
Denis
Jing
J
Tsui
Charles
C
Thompson
Kavitha
K
Chandra
D000162:Acoustics; D006874:Hydrostatic Pressure; D008954:Models, Biological; D012996:Solutions / Q000737:chemistry*
D012996:Solutions