Skip to main content
Log in

On the propagation of light waves in a multilayer planar dielectric waveguide

  • Radio Phenomena in Solids and Plasma
  • Published:
Journal of Communications Technology and Electronics Aims and scope Submit manuscript

Abstract

Dispersion equations for the eigenvalues of effective refractive index β of a planar dielectric waveguide supporting an optic TE wave are investigated. A relation between the traditional dispersion equation obtained on the basis of the characteristic-matrix method and the so-called multilayer equation is revealed. It is shown that all of the roots of the traditional dispersion equation are roots of the multilayer equation for the same problem. It is found that the roots of the multilayer equation may include the values of the refractive indices of inner layers of the waveguide and that these values are not the eigenvalues of quantity β.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Guided-Wave Optoelectronics, Ed. by T. Tamir (Springer-Verlag, Berlin, 1990; Mir, Moscow, 1991).

    Google Scholar 

  2. M. Born and E. Wolf, Principles of Optics, (Pergamon, Oxford, 1969; Nauka, Moscow 1970).

    Google Scholar 

  3. A. M. Afanas’ev and V. I. Pustovoit, Dokl. Akad. Nauk 392, 332 (2003) [Dokl. Phys. 48, 501 (2003)].

    Google Scholar 

  4. E. I. Golant and K. M. Golant, Zh. Tekh. Fiz. 76(8), 99 (2006) [Tech. Phys. 51, 1060 (2006)].

    Google Scholar 

  5. A. A. Maier and M. D. Kovalev, Dokl. Akad. Nauk 407, 766 (2006) [Dokl. 51, 193 (2006)].

    Google Scholar 

  6. M. D. Kovalev, Chebyshev. Sbornik 7(2(18) (2006).

  7. M. D. Kovalev, Zh. Vychisl. Mat. Mat. Fiz. 47, 1557 (2007) [Comput. Math. Math. Phys. 47, 1496 (2007)].

    MathSciNet  Google Scholar 

  8. M. D. Kovalev, Zh. Vychisl. Mat. Mat. Fiz. 48, 1888 (2008) [Comput. Math. Math. Phys. 48, 1885 (2008)].

    MATH  MathSciNet  Google Scholar 

  9. A. Yariv and P. Yeh, Optical Waves in Crystals: Propagation and Control of Laser Radiation (Wiley, New York, 1984; Mir, Moscow, 1987).

    Google Scholar 

Download references

Authors

Additional information

Original Russian Text © M.D. Kovalev, 2010, published in Radiotekhnika i Electronika, 2010, Vol. 55, No. 3, pp. 350–354.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kovalev, M.D. On the propagation of light waves in a multilayer planar dielectric waveguide. J. Commun. Technol. Electron. 55, 325–329 (2010). https://doi.org/10.1134/S1064226910030113

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064226910030113

Keywords

Navigation