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Theory of a Circular Loop Antenna Located on the Surface of a Dielectric Column in a Magnetoplasma

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We study the electrodynamic characteristics of a circular loop antenna located on the surface of a dielectric column in a homogeneous magnetoplasma. The antenna has the form of an infinitesimally thin, perfectly conducting narrow strip coiled into a ring and is excited by a monochromatic given voltage. Singular integral equations for azimuthal harmonics of the antenna current are obtained in the case where the dielectric column is aligned with an external magnetic field. Based on the solution of these equations, the current distribution and input impedance of the antenna are found and analyzed. It is shown that in the resonant frequency ranges of a magnetoplasma, these characteristics admit a simplified analytical description, which corresponds to the transmission line theory with a complex current-distribution constant.

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References

  1. T. N.C. Wang and T. F. Bell, IEEE Trans. Antennas Propagat., AP-20, No. 3, 394 (1972).

    Article  ADS  Google Scholar 

  2. V. V. Akindinov, S. M. Eremin, and I. V. Lishin, Radiotekh. Élektron., 30, 5, 833 (1985).

    ADS  Google Scholar 

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

    Google Scholar 

  4. I.G. Kondrat’ev, A.V. Kudrin, and T.M. Zaboronkova, Phys. Scr., 54, Pt. 1, 96 (1996).

  5. I.G. Kondrat’ev, A.V. Kudrin, and T.M. Zaboronkova, Electrodynamics of Density Ducts in Magnetized Plasma, Gordon and Breach, Amsterdam (1999).

    MATH  Google Scholar 

  6. T.M. Zaboronkova, A.V. Kudrin, and M.Yu. Lyakh, Radiophys. Quantum Electron., 46, Nos. 5–6, 407 (2003).

    Article  ADS  Google Scholar 

  7. T.M. Zaboronkova, A.V. Kudrin, and E.Yu. Petrov, Radiophys. Quantum Electron., 41, No. 3, 236 (1998).

    Article  ADS  Google Scholar 

  8. A.V. Kudrin, E.Yu. Petrov, and T.M. Zaboronkova, J. Electromagn. Waves Appl., 15, No. 3, 345 (2001).

    Article  Google Scholar 

  9. A. V. Kudrin, A. S. Zaitseva, T. M. Zaboronkova, et al., Prog. Electromagn. Res. B, 51, 221 (2013).

    Article  Google Scholar 

  10. A. V. Kudrin, A.S. Zaitseva, T. M. Zaboronkova, and S. S. Zilitinkevich, Prog. Electromagn. Res. B, 55, 241 (2013).

    Article  Google Scholar 

  11. R. L. Stenzel, Phys. Fluids, 19, No. 6, 865 (1976).

    Article  ADS  Google Scholar 

  12. A. V. Kostrov, A. V. Kudrin, L.E. Kurina, et al., Phys. Scr., 62, Pt. 1, 51 (2000).

  13. W. E. Amatucci, D.D. Blackwell, D. N. Walker, et al., IEEE Trans. Plasma Sci., 33, No. 2, 637 (2005).

    Article  ADS  Google Scholar 

  14. A.V. Kudrin, M.Yu. Lyakh, T.M. Zaboronkova, and C. Krafft, Phys. Plasmas, 9, No. 4, 1401 (2002).

    Article  ADS  Google Scholar 

  15. A. V. Kudrin, E.Yu. Petrov, G.A. Kyriacou, and T.M. Zaboronkova. Prog. Electromagn. Res. B, 12, 297 (2009).

    Article  Google Scholar 

  16. A. V. Kudrin, N.M. Shkokova, O.E. Ferencz, and T.M. Zaboronkova, Phys. Plasmas, 21, No. 11, 112115 (2014).

    Article  ADS  Google Scholar 

  17. A. V. Kudrin, M.Yu. Lyakh, and T.M. Zaboronkova, IEEE Trans. Antennas Propagat., 49, No. 12, 1645 (2001).

    Article  ADS  Google Scholar 

  18. A. V. Kudrin and V.A. Es’kin, Phys. Scr., 74, No. 4, 425 (2006).

    Article  ADS  MathSciNet  Google Scholar 

  19. V.A. Es’kin, T.M. Zaboronkova, A.V. Kudrin, and O.M. Ostafiychuk, Plasma Phys. Rep., 41, 3, 231 (2015).

    Article  ADS  Google Scholar 

  20. V. A. Es’kin, A. V. Kudrin, T.M. Zaboronkova, and C. Krafft, Phys. Rev. E, 86, No. 6, 067601 (2012).

    Article  ADS  Google Scholar 

  21. V. A. Es’kin, A. V. Ivoninsky, and A.V. Kudrin, Prog. Electromagn. Res. B, 63, 173 (2015).

    Article  Google Scholar 

  22. V. A. Es’kin, A. V. Ivoninsky, A. V. Kudrin, and C. Krafft, Phys. Scr., 91, No. 1, 015502 (2016).

    Article  ADS  Google Scholar 

  23. I. V. Katin and G. A. Markov, Radiophys. Quantum Electron., 42, 3, 191 (1999).

    Article  ADS  Google Scholar 

  24. G. A. Markov and I.V. Khazanov, Plasma Phys. Rep., 28, 4, 274 (2002).

    Article  ADS  Google Scholar 

  25. T. M. Zaboronkova, A. S. Zaitseva, A.V. Kudrin, and B. Spagnolo, Radiophys. Quantum Electron., 57, 11, 795 (2014).

    Article  ADS  Google Scholar 

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

    Google Scholar 

  27. A. N. Kondratenko, Plasma Waveguides [in Russian], Atomizdat, Moscow (1976).

    Google Scholar 

  28. G. A. Korn and T.M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York (1968).

    MATH  Google Scholar 

  29. A.P. Prudnikov, Yu.A. Brychkov, and O. I. Marichev, Integrals and Series, Vol. 1, Elementary Functions, Gordon and Breach, Amsterdam (1968).

    MATH  Google Scholar 

  30. A.P. Prudnikov, Yu.A. Brychkov, and O. I. Marichev, Integrals and Series, Vol. 2, Special Functions, Gordon and Breach, Amsterdam (1986).

    MATH  Google Scholar 

  31. V. V. Vorovich, V.M. Aleksandrov, and V. A. Babeshko, Nonclassical Mixed Problems of the Theory of Elasticity, Nauka, Moscow (1974), p. 215.

    Google Scholar 

  32. J. Meixner, IEEE Trans. Antennas Propagat., AP-20, No. 4, 442 (1972).

    Article  ADS  Google Scholar 

  33. A. Z. Fradin, Antenna and Feeder Systems [in Russian], Svyaz’, Moscow (1977).

    Google Scholar 

  34. S. Ohnuki, K. Sawaya, and S. Adachi, IEEE Trans. Antennas Propagat., AP-34, No. 8, 1024 (1986).

    Article  ADS  Google Scholar 

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Correspondence to A. V. Kudrin.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 59, No. 12, pp. 1118–1136, December 2016.

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Zaboronkova, T.M., Zaitseva, A.S., Kudrin, A.V. et al. Theory of a Circular Loop Antenna Located on the Surface of a Dielectric Column in a Magnetoplasma. Radiophys Quantum El 59, 1000–1016 (2017). https://doi.org/10.1007/s11141-017-9769-z

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  • DOI: https://doi.org/10.1007/s11141-017-9769-z

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