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Updated: Jun 6, 2026

Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
Padé approximants and their application to scattering from fluid media
Max Denis1, Jing Tsui, Charles Thompson
1University of Massachusetts Lowell, 1 University Avenue, Lowell, Massachusetts 01854, USA. max_denis@uml.edu
Abstract:
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.
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