Inverse problem of polarimetry for media with orthogonal eigenpolarisations

We consider the problem of the ambiguity of the inverse problem of polarimetry for a homogeneous anisotropic medium characterised by orthogonal eigenpolarisations generated by noncommutativity of Jones and Mueller matrices of elementary types of anisotropy. The differences between two variants of the orthogonality conditions for the eigenpolarisations of an arbitrary anisotropic medium, the existence of which is due to this ambiguity, are investigated. The results obtained can be used to analyse the adequacy of the solution of the inverse problem of this class and in the problems of the synthesis of polarisation elements with given characteristics.