一种高效的计算Mie级数的新方法  

A new and highly effective approach for calculating the Mie series

作　　者：王海龙[1] 吴群[1] 吴健 李乐伟[1,3] 

机构地区：[1]哈尔滨工业大学电子与信息技术研究院,黑龙江哈尔滨150001 [2]电波环境特性重点实验室,北京102206 [3]新加坡国立大学电气与计算机工程系,新加坡

出　　处：《电波科学学报》2006年第6期811-815,共5页Chinese Journal of Radio Science

摘　　要：介绍了一种在高频情况下高效计算Mie级数的新方法,利用这种方法,通过一系列变换将传统的Mie级数变换成一个新的留数序列并给出一个全新的推导过程。推导结论表明,这种方法同传统的Mie级数以及Sommerfeld-Waston变换的解相比物理概念更加清晰,同传统Mie级数解相比极大地减少计算所需的求和项的数目。仿真结果证实这种方法得到的结果同传统方法的结果一致吻合。In this paper, a new and highly effective approach for calculating the Mie series under high frequency condition is introduced. Using the approach, the traditional Mie series is transferred to a new residue series based on a series of mathematic transformation and a novel derivation is presented. The derivation shows that compared with the traditional solution of Mie series and the solution derived from Sommerfeld-Watson transformation, the new approach exhibits a clear physics concept, the number of the summation terms required by calculation is greatly reduced compared with the traditional Mie series solution. Simulation results show that the new approach is well agreement with the traditional solution.

关 键 词：Mie级数 波散射 Sommerfeld积分 留数序列 球面行波 

分 类 号：TM15[电气工程—电工理论与新技术]