  In the framework of the Jaynes-Cummings model, we investigate how atomic
lineshapes are affected by coherently driving the atom-field interaction. We
pay particular attention to the two-level atom interaction with a thermal
cavity field, when both are influenced by external classical fields. Adopting a
density matrix formalism, we calculate the average atomic inversion and
demonstrate how the corresponding lineshapes vary as a function of the average
number of thermal photons, and the atom-field classical coupling. Furthermore,
we compare these results with those obtained from the standard Jaynes-Cummings
model and validate our findings through numerical calculations.
