Convergent Born series for large refractive indices
Convergent Born series for large refractive indices
复制标题
适用于大折射率的 Convergent Born 系列
DOI：
--
复制
发表时间：
1990
期刊：
影响因子：
--
通讯作者：
P. M. Berg
中科院分区：
文献类型：
--
作者：
R. Kleinman;G. Roach;P. M. Berg
结果表明，将广义过松弛法应用于可穿透物体散射引起的区域积分方程，可以得到收敛的迭代解。在很大范围的折射率和散射体尺寸下，当原玻恩级数发散时，改进的玻恩级数收敛。而且，在原玻恩级数收敛的情况下，改进的玻恩级数收敛速度比原玻恩级数更快。给出了一维、二维和三维的数值算例，验证了该方法的有效性。
It is shown that a generalized overrelaxation method, when applied to the domain integral equation that arises in scattering by penetrable objects, results in a convergent iterative solution. This modified Born series converges when the original Born series diverges for a wide range of indices of refraction and scatterer size. Moreover the modified series converges more rapidly than the original Born series in those cases for which the original series converges. Numerical examples demonstrating the effectiveness of this method are presented in one, two, and three dimensions.