Numerical-analytical method for calculating the refraction of radio waves in a chaotic upper atmosphere

Author:

Kim D.Ch.1,Ageeva E.T.1,Afanasiev N.T.2,Chudaev S.O.2,Makhro I.G.1,Medvedeva O.I.1

Affiliation:

1. Department of Physics, Bratsk State University, Russia.

2. Department of Radio Physics, Irkutsk State University, Russia.

Abstract

An operational method is proposed for calculating the refraction of decameter radio waves in a randomly-inhomogeneous upper atmosphere. The method is based on the numerical-analytical solution of stochastic equations of geometric optics. An integral expression is obtained for the dispersion of the refraction angle of a radio wave on the atmospheric path using the approximation of the perturbation method. For a quick calculation of the statistical moment of the refraction angle, the integral expression is reduced to an ordinary first-order differential equation. Joint numerical solution of the unperturbed ray equations and the equations for the statistical moment allows an operational estimate of beam width of radio waves arriving at the observation point. The results of numerical calculations of the standard deviations of the refraction angles of radio waves on paths of various lengths are presented.

Publisher

Canadian Science Publishing

Subject

General Physics and Astronomy

Reference9 articles.

1. B.N. Gershman, L.M. Erukhimov, and Lu.La. Lashin. Wave phenomena in the ionosphere and space plasma. Izdatel’stvo Nauka, Moscow (1984). (In Russian).

2. Y.A. Kravtsov and Y.I. Orlov. Geometrical optics of inhomogeneous medium. Springer-Verlag, Berlin (1990).

3. V.I. Klyatskin. Stochastic equations: theory and its application to acoustics, hydrodynamics and radiophysics. Fizmatlit, Moscow. V.1 (2008). (In Russian).

4. K. Rawer. Wave propagation in the ionosphere. Springer, Netherlands, Dordrecht (1993).

5. S.M. Rytov, Y.A. Kravtsov, and V.I. Tatarskiy. Introduction to statistical radiophysics. Part 2: Random fields. Nauka, Мoscow (1978). (In Russian).

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