Gumerov Nail A, Duraiswami Ramani
Perceptual Interfaces and Reality Laboratory, Institute for Advanced Computer Studies, University of Maryland, College Park, Maryland 20742, USA.
J Acoust Soc Am. 2002 Dec;112(6):2688-701. doi: 10.1121/1.1517253.
A computational technique for the solution of problems of wave scattering from multiple spheres is developed. This technique, based on the T-matrix method, uses the theory for the translation and reexpansion of multipole solutions of the Helmholtz equation for fast and exact recursive computation of the matrix elements. The spheres can have prescribed radii, impedances, and locations. Results are validated by comparison with boundary element calculations, and by convergence analyses. The method is much faster than numerical methods based on discretization of space, or of the sphere surfaces. An even faster method is presented for the case when the spheres are aligned coaxially.
开发了一种用于求解多个球体波散射问题的计算技术。该技术基于T矩阵方法，利用亥姆霍兹方程多极解的平移和重新展开理论，对矩阵元素进行快速精确的递归计算。球体可以具有规定的半径、阻抗和位置。通过与边界元计算结果对比以及收敛性分析对结果进行了验证。该方法比基于空间离散化或球体表面离散化的数值方法要快得多。对于球体同轴排列的情况，还提出了一种更快的方法。
