Journal
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA
Volume 131, Issue 2, Pages 1055-1065Publisher
ACOUSTICAL SOC AMER AMER INST PHYSICS
DOI: 10.1121/1.3675947
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The complex variables method with mapping function was extended to solve the linear acoustic wave scattering by an inclusion with sharp/smooth corners in an infinite ideal fluid domain. The improved solutions of Helmholtz equation, shown as Bessel function with mapping function as the argument and fractional order Bessel function, were analytically obtained. Based on the mapping function, the initial geometry as well as the original physical vector can be transformed into the corresponding expressions inside the mapping plane. As all the physical vectors are calculated in the mapping plane (eta, (eta) over bar), this method can lead to potential vast savings of computational resources and memory. In this work, the results are validated against several published works in the literature. The different geometries of the inclusion with sharp corners based on the proposed mapping functions for irregular polygons are studied and discussed. The findings show that the variation of angles and frequencies of the incident waves have significant influence on the bistatic scattering pattern and the far-field form factor for the pressure in the fluid. (C) 2012 Acoustical Society of America. [DOI: 10.1121/1.3675947]
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