Polarimetric statistics of electromagnetic waves scattered by distributed targets
Abstract
The variances and correlation coefficients of the instantaneous scattering matrix of the target and the scattered wave are studied first. The probability density functions of the envelopes and the phase difference of the polarization components are analyzed as well. Then the corresponding statistical analysis is applied to the Stokes vector, which can be expressed in terms of the rotation angle and the ellipticity angle of the polarization ellipse. These angles also describe the projection of the Stokes vector on the Poincare sphere. Analytical expressions are derived for the probability density functions of these angles and the mapping of the Stokes vector on the Poincare sphere. Methods of classifying polarimetric radar data and the estimation of optimal polarizations in order to maximize the received power or contrast ratio are also discussed. In the last part of the report, scatter models are analyzed for rough surfaces, clouds of chaff, and manmade targets such as bridges, ships, and vehicles. The target model includes both onebounce and twobounce scattering. Finally, a MonteCarlo model is studied for predictions of the polarization components of the scattered wave when the correlation matrix of the target is known and can be used as input data to the model.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 January 1993
 Bibcode:
 1993STIN...9418951A
 Keywords:

 Correlation Coefficients;
 Electromagnetic Radiation;
 Electromagnetic Scattering;
 Monte Carlo Method;
 Polarimetry;
 Polarization (Waves);
 Probability Density Functions;
 Radar Data;
 S Matrix Theory;
 Variance (Statistics);
 Data Processing;
 Mathematical Models;
 Poincare Spheres;
 Radar Cross Sections;
 Radar Targets;
 Surface Roughness;
 Wave Propagation;
 Communications and Radar