Radiophysics and Quantum Electronics

, Volume 15, Issue 2, pp 194–200 | Cite as

On the behavior of wave numbers beyond the critical value for waves in dielectric waveguides (media with losses)

  • V. V. Shevchenko
Article

Abstract

The solutions of the dispersion equations for waves in plane and circular (symmetrical waves) dielectric waveguides are investigated. Thermal losses in the internal and external media are taken into account. Special attention is devoted to an analysis of the arrangement of the solutions in the complex plane of transverse wave numbers relative to the branchcut that separates the domains of physical and nonphysical solutions. It is shown that for both waveguides the solutions corresponding to backward non-natural waves are situated on the nonphysical sheet of the complex plane. Fundamental differences are noted for plane and circular waveguides in terms of the behavior of the wave numbers for a variation of the field frequency or waveguide parameters.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    S. Barone, Leaky Wave Contribution to the Field of a Line Source Above a Dielectric Slab, MRI Res. Rept. R532-56, Polytechnic Inst. of Brooklyn, New York (1956).Google Scholar
  2. 2.
    S. Barone and A. Hessel, Leaky Wave Contribution to the Field of a Line Source Above a Dielectric Slab, MRI, Res. Rept. R-698-58, Polytechnic Inst. of Brooklyn, New York (1958).Google Scholar
  3. 3.
    R. E. Collin, Field Theory of Guided Waves, McGraw Hill, New York (1960).Google Scholar
  4. 4.
    L. A. Vainshtein, Open Resonators and Open Waveguides [in Russian], Izd. Sov. Radio, Moscow (1966).Google Scholar
  5. 5.
    V. V. Shevchenko, Radiotekhnika i élektronika,14, No. 10, 1768 (1969).Google Scholar
  6. 6.
    V. P. Mal'tsev, E. I. Nefedov, and V. V. Shevchenko, Izv. VUZ., Radiofiz.,12, No. 12, 1855 (1969).Google Scholar
  7. 7.
    V. V. Shevchenko, Smooth Transitions in Open Waveguides [in Russian], Nauka, Moscow (1969).Google Scholar
  8. 8.
    J. Arnbak, Electronics Lett.,5, No. 3, 41 (1969).Google Scholar
  9. 9.
    J. R. James, Electronics Lett.,5, No. 11, 952 (1969).Google Scholar
  10. 10.
    V. V. Shevchenko, Izv. VUZ., Radiofiz.,13, No. 10, 1528 (1970).Google Scholar

Copyright information

© Consultants Bureau, a division of Plenum Publishing Corporation 1974

Authors and Affiliations

  • V. V. Shevchenko
    • 1
  1. 1.Institute of Radio-Engineering and ElectronicsAcademy of Sciences of the USSRUSSR

Personalised recommendations