Department of Electrical and Computer Engineering, University of Rochester, Rochester, New York 14627, USA.
J Acoust Soc Am. 2010 Feb;127(2):850-61. doi: 10.1121/1.3277219.
A multiple-scattering approach is presented to compute the solution of the Helmholtz equation when a number of spherical scatterers are nested in the interior of an acoustically large enclosing sphere. The solution is represented in terms of partial-wave expansions, and a linear system of equations is derived to enforce continuity of pressure and normal particle velocity across all material interfaces. This approach yields high-order accuracy and avoids some of the difficulties encountered when using integral equations that apply to surfaces of arbitrary shape. Calculations are accelerated by using diagonal translation operators to compute the interactions between spheres when the operators are numerically stable. Numerical results are presented to demonstrate the accuracy and efficiency of the method.
提出了一种多次散射方法，用于计算在大型包围球内部嵌套有多个球形散射体时亥姆霍兹方程的解。该解表示为分波展开式，并推导了一个线性方程组，以强制在所有材料界面上连续压力和法向粒子速度。这种方法具有高阶精度，并避免了使用适用于任意形状表面的积分方程时遇到的一些困难。通过使用对角平移算子来计算当算子数值稳定时球体之间的相互作用，从而加速了计算。数值结果表明了该方法的准确性和效率。
