Skip to main content

Numerical Experiments for Studying the Structure of the Electromagnetic Field on the Surface of a Small Spherical Conductive Medium

  • Conference paper
  • First Online:
  • 1531 Accesses

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 101))

Abstract

The present paper proposed the results of numerical experiments based on the classical theory of electrodynamics but it has practical importance in radiolocation and radio-spectroscopy at specific laboratorian and technological conditions. There is investigation the structure of the scattered electromagnetic field of a linearly or circularly polarized incident wave with frequency ω on the surface of an ideal conductive sphere with radius \( {\text{a}} \) in the condition \( \lambda \gg a \) (\( ka \le 1) \), where \( \lambda \) is the wavelength of the incident wave. The general equations for the scattered field and Poynting vector, both directly near the conductive sphere and in the far zone (Fraunhofer zone) from the scattered object are analytically received. Using computer simulation there are obtained vector diagrams for the components incident and scattered electromagnetic waves, the structure 3D Poynting vector and total electromagnetic field on the surface of a small spherical conducting object located near the antenna system. In spite of the fact that the influence on the fields at the receiving point from separate small objects is negligible, should be mentioned that under certain conditions with a lot of obstacles they can affect the summary field at the receiving point. Therefore, studying the field structure on the surface of a scattering objects is great importance.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Kildal, P.S.: Foundations of antenna engineering: a unified approach for line-of-sight and multipath. Chalmers University of Technology (2015)

    Google Scholar 

  2. Mallick, K.: Conducting sphere in an electromagnetic input field. Geophys. Prospect. 20(2), 293–303 (2006)

    Article  Google Scholar 

  3. Muller, R.S.: Electromagnetic fields of a nonprecessing and processing, spinning, permanent magnet, conducting sphere. Radio Sci. 26(1), 137–147 (1991)

    Article  Google Scholar 

  4. Mittra, R.: Computer technologies for electrodynamics. New York-Oxford-Toronto (1957)

    Google Scholar 

  5. Serebryakov, G.U.: Modern problems of statistical physics (2002) V.I.P. 95 (in Russian)

    Google Scholar 

  6. Lambert, K.M., Rudduck, R.C., Lee, T.H.: IEEE Trans. Antennas Propag. 38, 896–903 (1990)

    Google Scholar 

  7. Liberti, J.C., Rappapjrt, T.S.: Smart antennas for wireless communication IS-95 and third generation CDMA applications. Prentice Hall PTR, Upper Saddle River. N.J (1999)

    Google Scholar 

  8. Winters, J.: IEEE Pers. Commun. Magazine. 2, 23 (1998)

    Article  Google Scholar 

  9. Foschini, G.J., Gans M.J.: Wirel. Pers. Commun. 6(4), 311 (1998)

    Google Scholar 

  10. Mozingo, P.A., Miller, P.A.: Adaptive antenna arrays. Moscow. Radio Commun (1986)

    Google Scholar 

  11. Aizenberg, G.Z.: VHF antennas. Moscow, « Nauka » (1957) (in Russian)

    Google Scholar 

  12. Nicolski, B.B., Nicolski, T.N.: Electrodynamics and propagation. Moscow, « Nauka » (1957) (in Russian)

    Google Scholar 

  13. Gomidze, N.Kh., Surmanidze, I.S., Makharadze, K., Abuladze, N.N., Kavtaradze, L.O.: Multi-component antennas in wireless connection. RSU Works. Series: “Natural Sciences and Medicine” vol. 13, pp. 225–229, Batumi (2008)

    Google Scholar 

  14. Hertz, H.: The forces of electrical oscillations treated according to maxwell’s theory, Weidemann’s Ann. 36, 1 (1889); reprinted in chap. 9 of H. Hertz, Electric Waves (Dover, New York, 1962). A translation by O. Lodge appeared in Nature 39, 402 (1889)

    Google Scholar 

  15. Jackson, J.D.: Classical electrodynamics, 3rd edn. Wiley, New York (1999)

    MATH  Google Scholar 

  16. McDonald K.T.: Radiation in the near zone of a hertzian dipole 22 April 2004

    Google Scholar 

  17. Feynman, R.P.: The Feynman Lectures on Physics. Vol. II: Mainly Electromagnetism and Matter (The New Millennium ed.), Basic Books, New York (2011) ISBN 978-0-465-02494-0

    Google Scholar 

  18. Bettini A.: A Course in Classical Physics, Vol. 4-Waves and Light. pp. 95, 103. Springer (2016) ISBN 978-3319483290

    Google Scholar 

Download references

Acknowledgement

Work was supported by the 2019 Competition for Targeted Scientific Research Projects “Diagnostics of a liquid medium based on an estimate of the correlation function of the intensity of partially coherent waves scattered from the fluid volume”. Batumi Shota Rustaveli State University (2019), Senior scientists: PhD of Physics Miranda Khajishvili, Prof. Zhuzhuna Diasamidze; project manager PhD of Physics Kakha Makharadze.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Miranda Khajisvili .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Gomidze, N., Khajisvili, M., Jabnidze, I., Makharadze, K., Slusareva, A. (2020). Numerical Experiments for Studying the Structure of the Electromagnetic Field on the Surface of a Small Spherical Conductive Medium. In: Várkonyi-Kóczy, A. (eds) Engineering for Sustainable Future. INTER-ACADEMIA 2019. Lecture Notes in Networks and Systems, vol 101. Springer, Cham. https://doi.org/10.1007/978-3-030-36841-8_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-36841-8_12

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-36840-1

  • Online ISBN: 978-3-030-36841-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics