Relation between the scattered signal and spatial spectrum of dielectric permittivity irregularities

O. I. Berngardt; A. P. Potekhin

doi:10.1117/12.337049

13 January 1999 Relation between the scattered signal and spatial spectrum of dielectric permittivity irregularities

O. I. Berngardt, A. P. Potekhin

Proceedings Volume 3583, Fifth International Symposium on Atmospheric and Ocean Optics; (1999) https://doi.org/10.1117/12.337049
Event: Fifth International Symposium on Atmospheric and Ocean Optics, 1998, Tomsk, Russian Federation

Abstract

The method of radio wave backscatter from small-scale fluctuations of the medium is extensively used to diagnose the atmosphere and ionosphere. In the statistical theory of scattering, the relation between correlation functions of the scattered signal and fluctuations of the medium was established and scrutinized; also, the single scattering approximation and an additional assumption of the smallness of the spatial radius of correlation are normally used in obtaining the radar equation of the problem. This paper analyzes the usual expression for a single scattered waveform, rather than its energy characteristics. We suggest a procedure, based on using a special Fourier spectrum of fluctuations and calculating the scattering amplitude at each spatial harmonic by a 3-D method of stationary phase (MSP) for obtaining the equation relating the scattered signal to spectral characteristics of the medium. Two equivalent representations are obtained for the signal scattered from spatial harmonics of fluctuations of the medium, and selective properties of the scattering process are considered. We have shown that it is possible to obtain a standard radar equation for a statistically quasi- homogeneous medium based on the derived representations.

Citation Download Citation

O. I. Berngardt and A. P. Potekhin "Relation between the scattered signal and spatial spectrum of dielectric permittivity irregularities", Proc. SPIE 3583, Fifth International Symposium on Atmospheric and Ocean Optics, (13 January 1999); https://doi.org/10.1117/12.337049

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