Commun. Comput. Phys., 6 (2009), pp. 565-576.


A Construction of Beam Propagation Methods for Optical Waveguides

Xavier Antoine 1*, Pierre Dreyfuss 2, Karim Ramdani 3

1 Institut Elie Cartan Nancy, Nancy-Universite, CNRS, INRIA, CORIDA Team, Boulevard des Aiguillettes B.P. 239 F-54506 Vandoeuvre-les-Nancy, France.
2 Laboratoire J.A. Dieudonne (Mathematiques), Universite de Nice - Parc Valrose, 06000 Nice, France.
3 INRIA, CORIDA Team, and Institut Elie Cartan Nancy, Nancy-Universite, CNRS, INRIA, Boulevard des Aiguillettes B.P. 239 F-54506 Vandoeuvre-les-Nancy, France.

Received 9 September 2008; Accepted (in revised version) 24 December 2008
Available online 6 February 2009

Abstract

This paper presents a systematic method to derive Beam Propagation Models for optical waveguides. The technique is based on the use of the symbolic calculus rules for pseudodifferential operators. The cases of straight and bent o ptical waveguides are successively considered.

AMS subject classifications: 78A50, 78M35, 47G30, 41A35

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Key words: Bent waveguides, Beam Propagation Method, optics.

*Corresponding author.
Email: Xavier.Antoine@iecn.u-nancy.fr (X. Antoine), dreyfuss@unice.fr (P. Dreyfuss), Karim.Ramdani@iecn.u-nancy.fr (K. Ramdani)
 

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