Applied Physics B

, Volume 27, Issue 4, pp 169–173 | Cite as

A note on debye potentials for spherically gyrotropic media

  • J. K. Krąckowiak
  • S. Przezdziecki
Contributed Papers


The Debye potentials are generalized to the case of electromagnetic fields in spherically gyrotropic media. A medium is called spherically gyrotropic if it is locally gyrotropic with the distinguished axis having a radial direction determined by a central point. Expressions for electromagnetic fields in terms of the generalized potentials are presented and the system of differential equations for the potentials is derived. The results are summarized in the form of a theorem. Basic facts about the Debye potentials in isotropic media are recalled.




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  1. 1.
    S.Przeździecki, R.A.Hurd: Appl. Phys.20, 313–317 (1979)Google Scholar
  2. 2.
    L.A.Vainstein:Electromagnetic Waves (Soviet radio, Moskva 1957) (in Russian)Google Scholar
  3. 3.
    K. Bochenek:Methods of Analysis of Electromagnetic Fields (PWN, Warszawa 1961) (in Polish) pp. 103–106Google Scholar
  4. 4.
    P.E.Krasnushkin: Suppl. Nuovo Cimento26, Ser. 10, 50–112 (1962)Google Scholar
  5. 5.
    P.E. Krasnushkin:Theory of Propagation of Very Long Waves (Vychyslyt. Centr AN SSSR, Moskva 1963) (in Russian)Google Scholar
  6. 6.
    J.R.Wait: Can. J. Phys.41, 299–315 (1963)Google Scholar
  7. 7.
    B.Friedman: “Propagation in a Non-Homogeneous Medium”, In:Electromagnetic Waves, ed. by R. E. Langer (The University of Wisconsin Press, Madison 1962)Google Scholar
  8. 8.
    S.Przeździecki, W.Laprus: On the representation of electromagnetic fields in gyrotropic media in terms of scalar Hertz potentials. J. Math. Phys. (in press)Google Scholar
  9. 9.
    A.Kujawski, S. Przeździecki: Bull. Acad. Pol. Sci. Ser. Sci. Math. Astr. Phys.21, 955–962 (1973)Google Scholar
  10. 10.
    A.G.Gurevich:Ferrites at Super-High Frequencies. (Gos. Izd. Fiz.-Mat Lit., Moskva 1960) (in Russian)Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • J. K. Krąckowiak
    • 1
  • S. Przezdziecki
    • 1
  1. 1.Institute of Fundamental Technological ResearchPolish Academy of SciencesWarsawPoland

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