nonlinear spectroscopic investigation of a strongly coupled atom-cavit
y system is presented. A two-field pump-probe experiment is employed t
o study nonlinear structure as the average number of intracavity atoms
is varied from (N) over bar approximate to 4.2 to (N) over bar approx
imate to 0.8. Nonlinear effects are observed for as few as 0.1 intraca
vity pump photons. A detailed semiclassical simulation of the atomic b
eam experiment gives reasonable agreement with the data for (N) over b
ar greater than or equal to 2 atoms. The simulation procedure accounts
for fluctuations in atom-field coupling which have important effects
on both the linear and nonlinear probe transmission spectra. A discrep
ancy between the simulations and the experiments is observed for small
numbers of atoms ((N) over bar less than or equal to 1). Unfortunatel
y, it is difficult to determine if this discrepancy is a definitive co
nsequence of the quantum nature of the atom-cavity coupling or a resul
t of the severe technical complications of the experiment.