An in-depth study of the thermodynamics of nonequilibrium radiation is pres
ented, The characterization of its nonequilibrium. macroscopic state is per
formed in the framework of Informational Statistical Thermodynamics. This i
s done in terms of a nonequilibrium Dirac-Landau-Wigner single particle den
sity matrix, or, alternatively, in terms of the conjugated intensive nonequ
ilibrium. thermodynamic variables. When a local description is not required
, the global one can be done by giving the nonequilibrium populations in di
e different modes. Also, alternatively, we can introduce a nonequilibrium t
emperature (quasi-temperature) per mode, This is compared to a couple of co
ntracted descriptions. The evolution of the resulting nonequilibrium thermo
dynamic state and the eventual experimental determination are given in the
follow-up article. (C) 2001 Elsevier Science B.V. All rights reserved.