A method for computing guided waves in integrated optics. I. Mathematical analysis.

Dolores Gómez Pedreira Patrick Joly 1
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 : Electromagnetic waveguides in integrated optics are propagation structures which are invariant under translation in one space direction and whose cross section is a local perturbation of a stratified medium. In this paper, we propose a new method for computing the guided modes of such devices under the weak guiding assumption. The method results from a combination of analytical techniques which take into account the unbounded and stratified character of the propagation medium so that numerical computations can be reduced to a neighborhood of the perturbation. Copyright © 2001 Society for Industrial and Applied Mathematics
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Dolores Gómez Pedreira, Patrick Joly. A method for computing guided waves in integrated optics. I. Mathematical analysis.. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2001, 39 (2), pp.596-623. ⟨10.1137/S0036142900368277⟩. ⟨hal-01010356⟩

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