Abstract
Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 4 May 2021Accepted: 07 September 2021Published online: 06 December 2021Keywordsboundary integral methods, asymptotic analysis, numerical quadrature, scatteringAMS Subject Headings41A60, 65D30, 65R20Publication DataISSN (print): 1540-3459ISSN (online): 1540-3467Publisher: Society for Industrial and Applied MathematicsCODEN: mmsubt
Highlights
We study scattering by a high aspect ratio particle using boundary integral equation methods
We have studied two-dimensional sound-hard scattering by a high aspect ratio ellipse using boundary integral equations
In the limit as ε → 0+, the integral operator in the boundary integral equation exhibits nearly singular behavior corresponding to the collapsing of the ellipse to a line segment
Summary
Two-dimensional model for studying scattering of scalar waves by a high aspect ratio particle. We can write the analytical solution of Eq (1) in terms of angular and radial Mathieu functions (see Appendix A for details), and use that analytical solution to study the behavior of fields scattered by the high aspect ratio ellipse. Note that with this choice of parameters, the semi-major axis of the ellipse is on the order of the wavelength, but the semi-minor axis is much smaller than the wavelength. It is clear from this result that the scattered field on or near the boundary plays an important role in this scattering problem, with impact on the far-field
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