Cross-correlation functions of spherical waves propagating through a slab containing anisotropic irregularities

Details Cross-correlation functions of spherical waves propagating through a slab containing anisotropic irregularities Cross-correlation functions of spherical waves propagating through a slab containing anisotropic irregularities

Apr 1966

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1966jatp...28..385c&link_type=abstract

Journal of Atmospheric and Terrestrial Physics, vol. 28, no. 4, pp. 385-395

Physics

1

Scientific paper

This report is a study of the cross-correlation of satellite signals through a slab containing small anisotropic irregularities. In the study of ionospheric irregularities, one often uses the observed data of signal correlations from spaced-receiver experiments to determine the height, thickness and other parameters of the irregularities. In general, satellites are moving at such a fast velocity that the ionosphere as well as the imbedded irregularities can be considered as frozen. The cross-correlations are then defined as the correlations between signals received at two separately spaced receivers on the ground as the satellite speeds across the sky. The cross-correlation functions are derived as functions of the distance between the transmitters. A condition for maximum correlation is obtained and is found to correspond to the case when two rays intersect in the slab, thus proving the often intuitively assumed condition for maximum cross-correlation. This maximum correlation function [rho]M is then expressed as a function of the distance between the receivers, x. For large values of x, [rho]M varies as 1/x. The results indicate possibilities of determining the height and slab thickness of the ionospheric irregularities from satellite scintillation data.

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