Characteristic Features of the Solution for the Inverse Problem of Polarimetry, Based on the Generalized Equivalence Theorem

We consider the characteristic features of the solution for the inverse problem of polarimetry for an arbitrary homogeneous anisotropic object, based on the generalized equivalence theorem. We show that in the general case, this problem has two solutions corresponding to the polarization basis sets, in which the amplitude and phase anisotropy matrices are not mixed. Using the solutions obtained, we carry out a comparative analysis of the conditions for realization of elliptical amplitude anisotropy with orthogonal eigenpolarizations (Hermitian dichroism) and we show the effect of these conditions on the characteristics of the eigenpolarizations. In both solutions, the orientation of the eigenpolarization is determined by the azimuth of the linear amplitude anisotropy and the ellipticity angle of the eigenpolarizations does not depend on the azimuths of the linear amplitude and phase anisotropy. The dependences of the ellipticity angle of the eigenpolarizations on the parameters of the amplitude anisotropy are different in these two solutions. The ellipticity angle depends on the magnitude of the type of amplitude anisotropy for which the matrix is first represented in this basis. The magnitude of the second type of amplitude anisotropy determines only the rate of change in the ellipticity angle.