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Mathematical model for radiowave propagation in sparse forests: Rytov approximation

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Abstract

In this paper, we consider penetrating propagation of a plane monochromatic electromagnetic wave in woodlands where the concentration of randomly distributed forest elements is low. These elements lead to appearance of a randomly varying component in the effective complex permittivity of the forest. Assuming that the random perturbation of the refraction coefficient is small, we apply the Rytov approximation and find the normalized coherent and incoherent components of the electric field intensity at the receiving point.

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References

  1. Popov, V.I., Radio Wave Propagation in Forests. NIR report no. 3566/3771, L’vov Polytechnical Intitute, The Chair in Theoretical Radio Engineering and Automatic Electrical Communications, 1981/1983.

  2. Ishimary, A., Wave Propagation and Scattering in Random Media, NewYork: Academic Press, 1978, vol. 2.

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  3. Popov, V.I., Osnovy sotovoi svyazi standarta GSM (The basics of cellular communications in GSM standard), Moscow: Eco-Trends, 2005.

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Correspondence to V. I. Popov.

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Original Russian Text © V.I. Popov, 2009, published in Avtomatika i Vychislitel’naya Tekhnika, 2009, No. 2, pp. 69–75.

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Popov, V.I. Mathematical model for radiowave propagation in sparse forests: Rytov approximation. Aut. Conrol Comp. Sci. 43, 104–108 (2009). https://doi.org/10.3103/S0146411609020072

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  • DOI: https://doi.org/10.3103/S0146411609020072

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