Multiple scattering effects on coherent bandwidth and pulse distortion of a wave propagating in a random distribution of particles
Abstract
In this paper, integral and differential equations are derived for the twofrequency mutual coherence function in a random distribution of stationary and moving particles. The differential equation is then solved for a plane wave case, and the coherent bandwidth is obtained for both the weak and strong fluctuation cases. Using the twofrequency correlation function, the output pulse shape is calculated for different particle densities. When the optical distance is small compared with unity, the pulse shape is substantially unchanged, but a long tail develops. When the optical distance is large, the coherent bandwidth is reduced and considerable pulse spread and delay occur. Numerical calculations are given for a nanosecond optical pulse propagating through cloud. It is shown that in dense cloud (density 0.5×10^{9}m^{3}), the pulse delay and spread are 3 and 1.28 μsec respectively over a distance of 5 km. This agrees with available experimental data.
 Publication:

Radio Science
 Pub Date:
 June 1975
 DOI:
 10.1029/RS010i006p00637
 Bibcode:
 1975RaSc...10..637I
 Keywords:

 Bandwidth;
 Electromagnetic Scattering;
 Particle Interactions;
 Pulse Communication;
 Signal Distortion;
 Statistical Distributions;
 Coherent Electromagnetic Radiation;
 Electromagnetic Wave Transmission;
 Particle Motion;
 Phase Coherence;
 Plane Waves;
 Time Lag;
 Wave Scattering