基于稳健自适应频率采样的宽频电磁数值仿真  

Broadband electromagnetic simulation with a robust adaptive frequency sampling method

作　　者：何十全[1] 韩奎[1] 聂在平[1] 

机构地区：[1]电子科技大学,四川成都610054

出　　处：《电波科学学报》2014年第6期1022-1029,共8页Chinese Journal of Radio Science

基　　金：973项目(No.61320601);国家自然科学基金项目(No.61301057);中央高校基本科研业务费项目(No.2672012ZYGX2012J014)

摘　　要：已有的基于Stoer-Bulirsch有理函数插值的自适应频率采样算法往往对插值间隔、收敛精度等参数非常敏感,算法稳定性差,甚至会出现伪收敛等问题.针对已有算法的上述缺陷,通过采用极点判断、插值区域二分、参数变换和多次收敛性检验等措施,提出了一种逐一增加采样点的自适应策略.形成了一种通用性强、稳定性好的自适应频率采样算法,可以用较少的采样点插值重构未知函数响应.并结合多层快速多极子方法,对宽频带目标电磁散射进行计算分析,实现采样频点的自适应选取,减少了计算量极大的精确数值计算的次数,提高了仿真效率.The existing adaptive frequency sampling algorithms based on Stoer-Bulirsch interpolation method are commonly sensitive to parameters such as interpolation interval and convergence threshold, and consequently become unstable. Sometimes, the algo- rithms even give some fictitious results. In response to these deficiencies, this paper proposes a new adaptive sampling scheme by increasing sample point one by one. With using poles judgment, interpolation interval bisection, parameter transformation and multiple convergence tests, we achieve a universal, stable and adaptive frequency sam- pling algorithm. It can be used to reconstruct any unknown function with few sampling points. The presented method is further combined with multilevel fast multipole algo- rithm to calculate and analyze the wideband electromagnetic scattering of targets, reali- zing the sampling frequency adaptive selection, reducing the times of full wave simula- tion which usually costs huge computing time, and finally improving the simulation ef- ficiency.

关 键 词：自适应频率采样 Stoer-Bulirsch插值算法 多层快速多极子方法 宽频带电磁散射 

分 类 号：O441[理学—电磁学]