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Telecommunications and Radio Engineering
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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v59.i12.30
5 pages

Convolution-Type Equation of Inverse Refraction Problem

G. A. Alexeev
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine
M. V. Belobrova
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine

ABSTRACT

The inverse refraction problem within framework in the geometric optical approximation made impossible the reconstruction of the refraction index profile of the Earth's atmosphere on the surface measurements of the wave refraction angle of the radiosource, which is on the moving satellite. In the work the analysis of the probabilities of the numerical solution of the inverse refraction problem, which is reduced to an integral Fredholm equation of the first-kind of convolution type has been made. It is shown, that the methodical error of the equation solution by an integral Fourier transform method, which is predetermined by a hipping of the time dependence of the refraction angle outside of the measurement interval by the different ways (in particular, zero values), in the real situations exceeds the errors caused by the regularization and approximated measurements of the refraction angle.