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J4  2011, Vol. 45 Issue (3): 440-444    DOI: 10.3785/j.issn.1008-973X.2011.03.007
    
New algorithm of computing leaky mode in slab waveguide
TANG Shu-yuan1,CHEN Zhi-hua2
1. Department of Mathematics, Zhejiang University, Hangzhou 310027,China; 2.Department of Science,
Zhijiang College, Zhejiang University of Technology, Hangzhou 310024,China
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Abstract  

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.



Published: 16 March 2012
CLC:  O 242  
Cite this article:

TANG Shu-yuan,CHEN Zhi-hua. New algorithm of computing leaky mode in slab waveguide. J4, 2011, 45(3): 440-444.

URL:

http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2011.03.007     OR     http://www.zjujournals.com/eng/Y2011/V45/I3/440


平板光波导中求解泄漏模的新算法

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 (Lapack)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.

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