Twofrequency mutual coherence function and pulse propagation in a random medium: An analytic solution to the plane wave case
Abstract
Pulse propagation in a random medium is determined by the twofrequency mutual coherence function which satisfies a parabolic equation. In the past, approximate or numerical solutions of this equation have been reported. This paper presents an exact analytical solution for a plane wave case when the random medium is approximated by A(0)  A(ρ) ∝ ρ^{2}. Analytic expressions for twofrequency mutual coherence function, pulse shape, temporal and angular spectra are presented in universal forms, and should be applicable to a large number of practical problems.
 Publication:

Radio Science
 Pub Date:
 October 1976
 DOI:
 10.1029/RS011i010p00775
 Bibcode:
 1976RaSc...11..775S
 Keywords:

 Electromagnetic Pulses;
 Markov Processes;
 Parabolic Differential Equations;
 Phase Coherence;
 Plane Waves;
 Turbulence Effects;
 Analytic Functions;
 Atmospheric Refraction;
 Atmospheric Turbulence;
 Frequency Distribution;
 Pulse Communication;
 Radiant Flux Density;
 Communications and Radar