Wave theory for microwave remote sensing of a halfspace random medium with threedimensional variations
Abstract
The twovariable expansion technique is used to solve for the mean Green's functions from the Dyson equation under the nonlinear approximation for a halfspace random medium with threedimensional correlation functions. The BetheSalpeter equations are then solved under the ladder approximation. The radiative transfer equations, which have been applied extensively in the study of microwave remote sensing problems, are derived under these approximations. The limiting cases of large and small horizontal correlation lengths are discussed. It is found that there is only one propagation constant except for the case of large horizontal correlation lengths, in which there are two propagation constants. We also show that boundary layer appears in firstorder solutions and does not appear in zerothorder solutions.
 Publication:

Radio Science
 Pub Date:
 June 1979
 DOI:
 10.1029/RS014i003p00359
 Bibcode:
 1979RaSc...14..359T
 Keywords:

 Green'S Functions;
 Half Spaces;
 Microwave Sensors;
 Microwave Transmission;
 Radiative Transfer;
 Remote Sensors;
 Statistical Distributions;
 Approximation;
 Boundary Layers;
 Nonlinear Equations;
 Wave Equations;
 Wave Propagation;
 Communications and Radar