A method for computing guided waves in integrated optics. Part II: Numerical approximation and error analysis

被引：8

作者：

Pedreira, DG ^{[1
]}

Joly, P

机构：

[1] Univ Santiago Compostela, Dept Math Appl, Santiago De Compostela 15706, Spain

[2] Inria Rocquencourt, F-78153 Le Chesnay, France

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2002年 / 39卷 / 05期

关键词：

eigenvalue problems; error estimates; integrated optics; transparent boundary conditions;

D O I：

10.1137/S0036142900377711

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are interested in the numerical approximation of the method for computing guided modes in integrated optics introduced in our earlier paper [Gomez Pedreira and Joly, SIAM J. Numer. Anal., 39 (2001), pp. 596-623]. We saw that the main step of the computation of the guided modes consists of computing the eigenvalues of a compact operator K depending on the frequency and the wavenumber beta. This second paper is devoted to the discretization of this problem and to the corresponding convergence analysis. In particular, we derive error estimates in the eigenvalue approximation, which will be of exponential accuracy.

引用

页码：1684 / 1711

页数：28

共 35 条

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