The linewidth problem of a semiconductor laser is studied on the basis
of a non-equilibrium Green's function method. Starting from a continu
ous mode description of the radiation field, the low quality factor of
semiconductor laser resonators is taken into account. For the case of
a single lasing mode a linewidth formula is derived and related to th
e Schawlow-Townes expression. The linewidth is found to exceed the cor
responding Schawlow-Townes value significantly. The reason for this ef
fect consists in the fact that gain saturation prevents large inversio
n even far above threshold. This phenomenon is usually ignored and is
shown to yield laser linewidths comparable with experiments.