  The condensate density profile of trapped two-dimensional gas of photons in
an optical microcavity, filled by a dye solution, is analyzed taking into
account a coordinate-dependent effective mass of cavity photons and
photon-photon coupling parameter. The profiles for the densities of the
superfluid and normal phases of trapped photons in the different regions of the
system at the fixed temperature are analyzed. The radial dependencies of local
mean-field phase transition temperature $T_c^0 (r)$ and local
Kosterlitz-Thouless transition temperature $T_c (r)$ for trapped microcavity
photons are obtained. The coordinate dependence of cavity photon effective mass
and photon-photon coupling parameter is important for the mirrors of smaller
radius with the high trapping frequency, which provides BEC and superfluidity
for smaller critical number of photons at the same temperature.
  We discuss a possibility of an experimental study of the density profiles for
the normal and superfluid components in the system under consideration.
