Simplification in the stochastic Fourier transform approach to random surface scattering
Abstract
Further developments in the application of the stochastic Fourier transform approach (SFTA) to random surface scattering are presented. It is first shown that the infinite dimensional integral equation for the stochastic Fourier transform of the surface current can be reduced to the three dimensions associated with the random surface height and slopes. A threedimensional integral equation of the second kind is developed for the average scattered field in stochastic Fourier transform space using conditional probability density functions. Various techniques for determining the transformed current (and, subsequently, the incoherent scattered power) from the average scattered field in stochastic Fourier transform space are developed and studied from the point of view of computational suitability. The case of vanishingly small surface correlation length is reexamined and the SFTA is found to provide erroneous results for the average scattered field due to the basic failure of the magnetic field integral equation (MFIE) in this limit.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 January 1985
 DOI:
 10.1109/TAP.1985.1143476
 Bibcode:
 1985ITAP...33...48B
 Keywords:

 Electromagnetic Scattering;
 Fast Fourier Transformations;
 Stochastic Processes;
 Surface Roughness Effects;
 Electric Conductors;
 Integral Equations;
 Probability Density Functions;
 S Matrix Theory;
 Scatter Propagation;
 Communications and Radar