Stable computations of the spherically layered media theory with high lossy media by using scaled Bessel functions  

作　　者：Jia-Hui Wang Bo O.Zhu 

机构地区：[1]School of Electronic Science and Engineering,Nanjing University,Nanjing,210023,China

出　　处：《Journal of Electronic Science and Technology》2025年第1期22-34,共13页电子科技学刊(英文版)

摘　　要：The spherically layered media theory has wide applications for electromagnetic wave scattering analysis.Due to the involved Bessel functions,the conventional formulations of spherically layered media theory suffer from numerical overflow or underflow when the Bessel function’s order is large,the argument is small or the argument has a large imaginary part.The first two issues have been solved recently by employing small-argument asymptotic formulas of Bessel functions,while the third issue remains unsolved.In this paper,the Bessel functions in the conventional formulation of the theory are replaced by scaled Bessel functions which have good numerical properties for high loss media,and stable formulas are derived.Numerical tests show that this approach can work properly with very high lossy media.Also,this approach can be seamlessly combined with the stable computation method for cases of small argument and large order of Bessel functions.

关 键 词：Lossy media Numerical stability Scaled Bessel function Spherically layered media theory 

分 类 号：O17[理学—数学]