平板光波导中求解泄漏模的新算法  

New algorithm of computing leaky mode in slab waveguide

作　　者：汤树元[1] 陈芝花[2] 

机构地区：[1]浙江大学数学系,浙江杭州310027 [2]浙江工业大学之江学院理学系,浙江杭州310024

出　　处：《浙江大学学报（工学版）》2011年第3期440-444,共5页Journal of Zhejiang University：Engineering Science

摘　　要：提出新的较完整地求解复的泄漏模的算法:在泄漏模比较小的时候应用Linear Algebra PACKage(Lapa-ck)或者Matlab方法计算其值,在模比较大的时候应用渐近解方法或者渐近解做初值的牛顿迭代法来计算其值.该算法改进了已有的求解泄漏模的方法,如多重瑞利商迭代方法、Lapack或者Matlab方法、渐近解方法和牛顿迭代等算法,并综合了这些方法的优点.数值模拟表明,新的算法可以较完整地得到近似度非常好的泄漏模.A new method to obtain the leaky modes in complex plane was developed：when the modes are small,Matlab or linear algebra package（Lapack） method is used to compute the leaky modes;when the modes are large,asymptotic solutions or Newton iteration with the initial values obtained by asymptotic solutions are used to compute the leaky modes.This method develops the existing four kinds of methods（multi-Rayleigh quotient iteration method,Lapack solver,asymptotic solutions,and Newton iteration with the initial values obtained by asymptotic solutions） and has their advantages.Numerical examples illustrated that the new method can be used to get highly approximate leaky modes in complex plane.

关 键 词：渐近解 泄漏模 多重瑞利商迭代 完美匹配层 平板光波导 

分 类 号：O242[理学—计算数学]