论文标题
球形对称散射器的精确3D散射溶液
Exact 3D scattering solutions for spherical symmetric scatterers
论文作者
论文摘要
在本文中，开发了弹性球形对称散射器的声学散射问题的精确解决方案。散点子可以由任意数量的流体和实心层组成，并增加了单个Neumann条件（替换Neumann to-neumann条件）的散射。该解决方案是通过分离变量获得的，导致无限序列必须截断才能进行数值评估。实现的数值解决方案是精确的，因为数值错误仅是由于圆形错误，该错误将使用MATLAB中的符号工具箱显示。提出了一个基准问题系统，以供将来参考。提出了数值示例，包括与参考溶液，远场模式和基准问题的近场图的比较，以及通过傅立叶变换获得的时间依赖性溶液。
In this paper, exact solutions to the problem of acoustic scattering by elastic spherical symmetric scatterers are developed. The scatterer may consist of an arbitrary number of fluid and solid layers, and scattering with single Neumann conditions (replacing Neumann-to-Neumann conditions) is added. The solution is obtained by separation of variables, resulting in an infinite series which must be truncated for numerical evaluation. The implemented numerical solution is exact in the sense that numerical error is solely due to round-off errors, which will be shown using the symbolic toolbox in MATLAB. A system of benchmark problems is proposed for future reference. Numerical examples are presented, including comparisons with reference solutions, far-field patterns and near-field plots of the benchmark problems, and time-dependent solutions obtained by Fourier transformation.
