Free access
Issue
ESAIM: M2AN
Volume 35, Number 4, July-August 2001
Page(s) 799 - 824
DOI http://dx.doi.org/10.1051/m2an:2001103
Published online 15 April 2002
  1. A.S. Bonnet, Analyse mathématique de la propagation de modes guidés dans les fibres optiques. Ph.D. thesis, University of Paris VI (1988).
  2. A.S. Bonnet-BenDhia, G. Caloz, M. Dauge and F. Mahé, Study at high frequencies of a stratified waveguide. IMA J. Appl. Math. 66 (2001) 231-257. [CrossRef] [MathSciNet]
  3. A.S. Bonnet-BenDhia, G. Caloz and F. Mahé, Guided modes of integrated optical guides. A mathematical study. IMA J. Appl. Math. 60 (1998) 225-261. [CrossRef] [MathSciNet]
  4. A.S. Bonnet-BenDhia and N. Gmati, Spectral approximation of a boundary condition for an eigenvalue problem. SIAM J. Numer. Anal. 32 (1995) 1263-1279. [CrossRef] [MathSciNet]
  5. A.S. Bonnet-BenDhia and P. Joly, Mathematical analysis of guided water waves. SIAM J. Appl. Math. 53 (1993) 1507-1550. [CrossRef] [MathSciNet]
  6. A.S. Bonnet-BenDhia and F. Mahé, A guided mode in the range of the radiation modes for a rib waveguide. J. Optics 28 (1997) 41-43. [CrossRef]
  7. N. Gmati, Guidage et diffraction d'ondes en milieu non borné. Ph.D. thesis, University of Paris VI (1992).
  8. A. Jami and M. Lenoir, A variational formulation for exterior problems in linear hydrodynamics. Comput. Methods. Appl. Mech. Engrg. 16 (1978) 314-359.
  9. M. Koshiba, Optical waveguide theory by the finite element method. KTC Scientific Publishers, Tokyo (1992).
  10. M. Lenoir and A. Tounsi, The localized finite element method and its applications to the two-dimensional sea-keeping problem. SIAM J. Numer. Anal. 25 (1988) 729-752. [CrossRef] [MathSciNet]
  11. F. Mahé, Étude mathématique et numérique de la propagation d'ondes électromagnétiques dans les microguides de l'optique intégrée. Ph.D. thesis, University of Rennes I, France (1993).
  12. D. Martin, Guide d'utilisation du code Mélina, IRMAR, University of Rennes I, France (1997).e-mail: http://www.maths.univ-rennes1.fr/~dmartin
  13. B.M.A. Rahman and J.B. Davies, Finite-element analysis of optical and microwave waveguide problems. IEEE Trans. Microwave Theory Tech. MTT-32(1) (1984).
  14. M. Reed and B. Simon, Analysis of Operators. IV: Analysis of operators. Academic Press, New York, San Francisco, London (1978).
  15. A.W. Snyder and J.D. Love, Optical waveguide theory. Chapman and Hall, London (1983).
  16. M. Schechter, Spectra of partial differential operators. North-Holland, Amsterdam (1971).
  17. C. Vassalo, Théorie des guides d'ondes électromagnétiques. Tomes 1 et 2. Eyrolles Éditions and CNET-ENST, Paris (1985).
  18. J.H. Wilkinson, The Algebraic Eigenvalue Problem. Clarenton Press, Oxford (1965).

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