Soviet Physics Journal

, Volume 30, Issue 10, pp 846–849 | Cite as

Determination of the parameters of asymmetric parabolic waveguides

  • A. N. Sergeev
  • M. N. Frolova
  • L. A. Osadchev
  • S. M. Shandarov
Optics and Spectroscopy
  • 40 Downloads

Abstract

The dispersion equation for an asymmetric parabolic waveguide is obtained using solutions in the form of Whittaker functions. The electric field distribution is computed numerically for the TE0 and TE1 modes. The condition of applicability for the Hermite polynomials as solutions of the wave equation is studied. Results are presented for waveguides based on films of the oxide systems TiO2:Al2O3, TiO2:ZrO2, and TiO2:Nb2O5. Good agreement is observed between the parameters for waveguides obtained from film-forming solutions and from electron-beam vaporization.

Keywords

Oxide TiO2 Al2O3 Wave Equation Field Distribution 

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Literature cited

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    H. G. Unger, Planar Optical Waveguides and Fibers, Oxford Univ. Press (1978).Google Scholar
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    M. Abramowitz and I. A. Stegun (eds.), Handbook of Mathematical Functions, National Bureau of Standards (1964).Google Scholar
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    G. Chartier, P. Colier, and P. Jaussand, “Utilisation des methodes de l'optique integree pour determiner le profil d'indice de certaines couches minces,” Trav. semin. meth. anal. et caracter couches minces, Paris (1978), pp. 163–168.Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • A. N. Sergeev
    • 1
  • M. N. Frolova
    • 1
  • L. A. Osadchev
    • 1
  • S. M. Shandarov
    • 1
  1. 1.V. V. Kuibyshev State UniversityTomsk

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