Coherent wave propagation through a sparse concentration of particles
Abstract
The FoldyTwersky integral equation (FTIE) for the coherent field propagating through a sparsely populated, random, uncorrelated distribution of particles is solved to show that the average field inside any particle is a plane wave. This result is in conflict with the average singleparticle integral equation, which dictates that the average internal field cannot, in general, be a plane wave. The conflict is resolved by examining the conditions under which the average singleparticlescattering amplitudes resulting from the two integral equations are nearly equal. The major implications of this analysis are that (1) the classical Foldy result for the propagation constant of the coherent field follows directly from the FTIE and its implicit assumptions regardless of the electrical or physical properties of the particles and (2) the FTIE only applies to situations where the effects of multiple scattering upon the coherent field are negligible.
 Publication:

Radio Science
 Pub Date:
 June 1980
 DOI:
 10.1029/RS015i003p00705
 Bibcode:
 1980RaSc...15..705B
 Keywords:

 Coherent Radiation;
 Electromagnetic Scattering;
 Electromagnetic Wave Transmission;
 Particle Interactions;
 Scatter Propagation;
 Scattering Amplitude;
 Coherent Light;
 Coherent Radar;
 Integral Equations;
 Plane Waves;
 Communications and Radar