  The electromagnetic field can be expressed in terms of two complex potentials
$ \alpha, \beta ,$ which are related to the Debye potentials. The evolution
equations for these potentials are derived, which are separable either in
parabolic coordinates (leading to the radiation fields) or in radial
coordinates (multipole fields). Potentials corresponding to focused wave fields
as well as plane waves are discussed. A conserved radiation density can be
constructed in terms of these potentials, which is positive (negative) for
positive (negative) helicity radiation.
