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Determination of the parameters of asymmetric parabolic waveguides

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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.

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Literature cited

  1. H. G. Unger, Planar Optical Waveguides and Fibers, Oxford Univ. Press (1978).

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  4. 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.

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Authors and Affiliations

  1. V. V. Kuibyshev State University, Tomsk

    A. N. Sergeev, M. N. Frolova, L. A. Osadchev & S. M. Shandarov

Authors
  1. A. N. Sergeev
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  2. M. N. Frolova
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  3. L. A. Osadchev
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  4. S. M. Shandarov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 46–49, October, 1987.

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Sergeev, A.N., Frolova, M.N., Osadchev, L.A. et al. Determination of the parameters of asymmetric parabolic waveguides. Soviet Physics Journal 30, 846–849 (1987). https://doi.org/10.1007/BF00897251

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  • DOI: https://doi.org/10.1007/BF00897251

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