Skip to main content
SpringerLink
Log in

Radar equations in the radio wave backscattering problem

  • Published:
Radiophysics and Quantum Electronics Aims and scope

Abstract

We present a method for finding the relation between the singly scattered signal and the Fourier spectrum of dielectric permittivity fluctuations of a medium with regard to the scattering volume which is controlled by the antenna pattern and is not small. Using this method, we found a radar equation which relates the temporal Fourier spectrum of the scattered signal and the spatio-temporal spectrum of permittivity fluctuations. We also obtained a statistical radar equation to relate the statistically averaged spectral power of the scattered signal and the spectral density of permittivity fluctuations without the conventional assumption that the spatial correlation radius of irregularities is small compared with the Fresnel radius.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. L. Suni, V. D. Tereshchenko, E. D. Tereshchenko, and B. E. Khudukon,Incoherent Scattering of Radio Waves in the High-Latitude Ionosphere [in Russian], Rossiisk. Akad. Nauk, Apatity (1989).

    Google Scholar 

  2. I. M. Vilensky, N. I. Izraileva, A. A. Kapel’zon, V. V. Plotkin, and M. E. Freiman,Artificial Quasi-Periodic Irregularities in the Lower Ionosphere [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  3. R. F. Woodman,Scattering of EM Waves from Dielectric Density Fluctuations: Handbook for MAP [Russian translation] (1989), Vol. 30, p. 143.

    Google Scholar 

  4. V. E. Zuyev, V. V. Belov, and V. V. Veretennikov,Theory of Systems in Dispersive Media Optics [in Russian], Tomsk (1997).

  5. V. I. Tatarsky,Propagation of Waves in a Turbulent Atmosphere [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  6. A. Isimaru,Propagation and Scattering of Waves in Randomly Inhomogeneous Media [Russian translation], Mir, Moscow (1981).

    Google Scholar 

  7. R. Newton,Theory of Scattering of Waves and Particles [Russian translation], Mir, Moscow (1969).

    Google Scholar 

  8. H. van der Hülst,Scattering of Light by Small Particles [Russian translation], Inostrannaya Literatura, Moscow (1961).

    Google Scholar 

  9. M. V. Fedoryuk,Asymptotic Forms: Integrals and Series [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  10. A. P. Anyutin and V. A. Borovikov,Homogeneous Asymptotic Forms of the Integrals of Fast-Oscillating Functions with Singularities of a Pre-Exponential Factor [in Russian], Preprint No. 42 (414), Institute of Radioengineering and Electronics of the Russian Academy of Sciences (1984).

  11. S. M. Rytov, Yu. A. Kravtsov, and V. I. Tatarsky,Introduction to Statistical Radiophysics [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  12. O. G. Nalbandyan,Izv. Rossiisk. Akad. Nauk, Fiz. Atmos. Okeana,12, No. 7, 772 (1976).

    ADS  Google Scholar 

  13. A. I. Kon and V. I. Tatarsky,Izv. Rossiisk. Akad. Nauk, Fiz. Atmos. Okeana,16, No. 3, 219 (1980).

    Google Scholar 

Download references

Authors
  1. O. I. Berngardt
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. P. Potekhin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Solar-Terrestrial Physics, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 43, No. 6, pp. 520–544, June, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berngardt, O.I., Potekhin, A.P. Radar equations in the radio wave backscattering problem. Radiophys Quantum Electron 43, 484–492 (2000). https://doi.org/10.1007/BF02677176

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02677176

Keywords

Search

Navigation