分层介质球内场计算的一种改进算法  

An Improved Algorithm of Internal Field Computation for Multilayer Dielectric Sphere

作　　者：庞晨[1] 李健兵[1] 王涛[1] 董健[1] 王雪松[1] 

机构地区：[1]国防科学技术大学电子科学与工程学院,长沙410073

出　　处：《微波学报》2010年第6期17-21,共5页Journal of Microwaves

摘　　要：球体内部电场的获取是介质目标电磁散射特性计算中的关键技术问题。常用方法之一是基于Mie理论的递推算法,由于小宗量时Riccati-Bessel函数存在奇异,使得现有算法存在计算不够稳定的缺点。针对这一问题,提出了一种分层介质球内场获取的改进算法。该算法提出了新的内场展开系数递推关系,改进了现有的Riccati-Bessel函数递推式,解决了Riccati-Bessel函数的奇异性问题。同时,与FEKO 5.4的计算结果比对表明,该算法具有很高的精度,能够为复杂介质散射特性研究提供参考和对比。The acquisition of internal electric field in a dielectric sphere is an important issue for studying the electromagnetic scattering characteristics of medium targets.The recursive algorithm based on Mie theory is one of the most commonly used methods for this problem.However,the algorithm is not stable enough because the Riccati-Bessel functions tend to be singular while small inputs are under consideration.In order to address this problem,an improved algorithm is put forward.The algorithm gives a new recursive formula for the coefficients of internal field expansion,and develops an improved recursive formula for Riccati-Bessel functions to remove its singularity.Comparison of the numerical results with FEKO 5.4 shows that the algorithm has very high precision,so the algorithm can serves as a good reference for the investigation of scattering characteristics of various complex medium.

关 键 词：电磁散射 分层球 内场 递推算法 

分 类 号：O441.4[理学—电磁学]