Quaternion presentations polarization state

For considering the dynamics of an electromagnetic wave, a variety of presentations differing in the values being observed can be suggested. The following can be used as such values: electric intensity and magnetic induction vectors, electric and magnetic intensity vectors or vector potential. Finally, field amplitude or energetic characteristics, including, the description of the polarization state, can be used as observed values. The polarization state can be described after characteristics to be observed have been chosen. The point is that any descriptions connected by isomorphic (mutually unambiguous) transformations are completely equivalent to each other: it is possible to pass from one description to the other without losing anything from its contents.< >