We give a general equation which allows the description of the evoluti
on of the laser properties when the gain is varied from below to above
threshold. The method is general in the context of the semi-classical
theory of lasers. It is numerically illustrated in the simplest case
of a single mode laser with a source term characterized by a very narr
ow spectrum. The transformation of the Airy line shape of the passive
Fabry-Perot cavity into the laser line shape is described. A classical
linewidth which complements the usual quantum limit can thus be intro
duced, together with its control parameters.