RECONSTRUCTION OF THE SPATIAL SPECTRUM OF TROPOSPHERIC IRREGULARITIES USING THE CORRELATION FUNCTIONS OF THE AMPLITUDE FLUCTUATIONS

Abstract
A numerical solution has been suggested for the inverse problem of radio occultation of a turbulent, stochastic inhomogeneious troposphere by a plane wave. This technique enables to reconstruct the spatial spectrum of the tropospheric irregularities using the correlation functions of the amplitude fluctuations of the signal received from a geostationary satellite or using appropriate power spectra. The solution algorithm is based on transformation into an integral equation with a self-conjugate operator, along with the ?-regularization technique. Provided that the value of the regularization parameter is chosen to be optimal, the spatial spectrum can be reconstructed for diverse tropospheric models. The algorithm has been applied to reconstruct the irregularities’ spatial spectrum from the experimental frequency spectra of the RF signal amplitude fluctuations.

KEY WORDS: troposphere, radio occultation, inverse problem, spatial spectrum of irregularities, correlation function, α-regularization, frequency spectrum, RF signal amplitude fluctuations

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