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VHF current distribution on a cylindrical VLF antenna in a magnetoplasma

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Abstract

We obtain, solution for the current distribution on a linear antenna excited by a given e.m.f. The antenna is an infinitely, long, perfectly conducting cylinder immersed in a plasma and aligned with an external magnetic field. The obtained current distribution in the VLF band is contributed by the eigenmode guided by the cylinder and waves of the continuous spatial spectrum. We show that the current distribution of a sufficiently thin antenna is determined mainly by the eigenmode. The antenna current is calculated both analytically and numerically under ionospheric conditions. The validity criteria for using the transmission-line theory to obtain the current distribution on a linear antenna in a magnetoplasma are discussed.

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References

  1. S. W. Lee,Radio Sci.,4, No. 2, 179 (1969).

    ADS  Google Scholar 

  2. Yu. V. Chugunov,Izv. Vyssh. Uchebn. Zaved., Radiofiz.,12, No. 6, 830 (1969).

    Google Scholar 

  3. A. A. Andronov, and Yu. V. Chugunov,Usp. Fiz. Nauk,116, No. 1, 79 (1975).

    Google Scholar 

  4. S. M. Eremin,Radiotekh. Électron.,33, No. 9, 1852 (1988).

    ADS  MathSciNet  Google Scholar 

  5. E. Hallén,Nova Acta Regiae Soc. Sci. Upsaliensis, Ser. IV,11, No. 4, 1 (1938).

    Google Scholar 

  6. M. A. Leontovich and M. L. LevinZh. Tekh. Fiz.,14, No. 9, 481 (1944).

    Google Scholar 

  7. K. S. Kunz,J. Res. NBS,67D, No. 4, 417 (1963).

    Google Scholar 

  8. R. W. P. King, and G. S. Smith,Antennas in Matter, The MIT Press, Cambridge, Masachusetts (1981).

    Google Scholar 

  9. V. P. Dokuchaev,Fiz. Plazmy,21, No. 4, 339 (1995).

    Google Scholar 

  10. E. A. Mareev, and Yu. V. Chugunov,Antennas in Plasma [in Russian], Inst. Appl. Phys. Press, Nizhny Novgorod (1991).

    Google Scholar 

  11. S. Adachi, T. Ishizone, and Y. Mushiake,Radio Sci.,12, No. 1, 23 (1977).

    ADS  Google Scholar 

  12. T. Ishizone, S. Adachi, and Y. Mushiake,Proc. IEEE,58, No. 11, 1843 (1970).

    Article  Google Scholar 

  13. V. L. Ginzburg,The Propagation of Electromagnetic Waves in Plasmas, Pergamon Press, Oxford. (1970).

    Google Scholar 

  14. Y. Mushiake,J. Res. NBS,69D, No. 4, 503 (1965).

    Google Scholar 

  15. S. Adachi,Radio Sci.,1, No. 6, 671 (1966).

    Google Scholar 

  16. A. V. Gurevich and A. B. Shvartsburg,Nonlinear Theory of Wave Propagation in the Ionosphere [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  17. M. N. Fatkullin, T. I. Zelenova, V. K. Kozlov, A. D., Legen'ka, and T. N. Soboleva,Empirical Models of the Middle-Latitude Ionosphere, Nauka, Moscow (1981), 256 pp.

    Google Scholar 

  18. G. A. Korn, and T. M. Korn,Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York (1961).

    MATH  Google Scholar 

  19. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev,Integrals and Series. Elementary Functions [in Russian], Nauka, Moscow (1981), p. 529.

    MATH  Google Scholar 

  20. W. Magnus, F. Oberhettinger, and F. G. Tricomi,Higher Transcendental Functions (Bateman manuscript project) Vol. 1 McGraw-Hill, New York (1953).

    Google Scholar 

  21. P. A. Penzo and P. W. Ammann, eds.,Tethers in Space Handbook, NASA, Washington (1989), p. 119.

    Google Scholar 

  22. M. Dobrowolny and N. Stone,Nuovo Cim.,17, No. 1, 1 (1994).

    Article  ADS  Google Scholar 

  23. H. S. Lu and K. K. Mei,IEEE Trans. Antennas and Propagat.,AP-19, No. 5, 669 (1971).

    Article  ADS  Google Scholar 

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 42, No. 8, pp. 750–764, August 1999.

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Zaboronkova, T.M., Kudrin, A.V. & Petrov, E.Y. VHF current distribution on a cylindrical VLF antenna in a magnetoplasma. Radiophys Quantum Electron 42, 660–673 (1999). https://doi.org/10.1007/BF02676852

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  • DOI: https://doi.org/10.1007/BF02676852

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