A possibility of various interpretations of polarimetric SAR signatures analyzed from propagation and transmission points of view

Derivation of the relation called the `reversal´ transformation, joining matrices in the two alignments, is presented. To arrive at the solution, a concept of `polarization and spatial phase´ vectors for antennae and waves, different from complex antenna heights and complex wave amplitudes, has been applied. For Sinclair and Jones matrices, describing the same physical phenomenon of nondepolarizing scattering, two different Poincare´ sphere models have been proposed based on decomposition of a Sinclair matrix into two transformations of inversion and rotation of the Poincare sphere of incident polarizations. For the Jones matrix model another Sinclair matrix has been determined followed by an additional orthogonality transformation. Such a difference in construction of the two models can explain diverse physical interpretations of their operation. Limited number of simple formulae describing scattering will be obtained when applying to radar polarimetry a special `engineering approach´ introduced in the paper