Mathematics
Scientific paper
Jun 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982rasc...17..565h&link_type=abstract
Radio Science, vol. 17, May-June 1982, p. 565-573.
Mathematics
4
Atmospheric Turbulence, Electromagnetic Scattering, Planetary Atmospheres, Radio Occultation, Fresnel Integrals, Huygens Principle, Spectral Line Width, Transformations (Mathematics), Wave Equations
Scientific paper
The paper demonstrates that the wave equation for a thin turbulent medium with nonconstant mean characteristics can be reformulated as a problem involving turbulence on a constant background. A Huygens-Fresnel integral formulation of the scattered electromagnetic field is used, and a set of simultaneous transformations are reversed and applied to known solutions of the simpler problem involving a constant background to yield results that correctly account for the inhomogeneous atmosphere on which the turbulence is superimposed. The quantity is unaltered if the separation of the two field points in the plane of the receiver is replaced by the corresponding separation when applied to the mutual coherence functions. The scintillation index approaches unity asymptotically in strong scattering.
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