Polarized electromagnetic waves in coordinate system with any orientation

The analysis of polarized electromagnetic waves is accomplished as Maxwell equations eigenfunction research in an arbitrary orientated coordinate system. It is shown that for polarization analysis we must operate with two complex eigenfunctions or four real eigenwaves. This four eigenwaves has circular polarization and are based in four dimension Euclidian space. The reduction to three dimension Euclidean space is carried out by the Hopf fibration (Stokes parameters). Some geometrical properties of real eigenwaves are discussed.