# A method for computing guided waves in integrated optics. Part (II) Numerical approximation

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : 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 [Gómez 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 ${\rm K}$ depending on the frequency $\omega$ 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. Copyright © 2002 Society for Industrial and Applied Mathematics
Document type :
Journal articles

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Submitted on : Monday, May 12, 2014 - 3:31:31 PM
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### Citation

Patrick Joly, Dolores Pedreira. A method for computing guided waves in integrated optics. Part (II) Numerical approximation. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2002, 39 (5), pp.1684-1711. ⟨10.1137/S0036142900377711⟩. ⟨hal-00989891⟩

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