The dependence of the excitation strength on the longitudinal mode str
ucture of a pulsed, resonant excitation field is examined. As an exper
imental test case, resonance ionization signal fluctuations are studie
d with a two-step excitation of strontium. Successive ionization signa
ls, the corresponding pulse energies, and the mode structures of the r
esonant step laser pulses are recorded. The large signal fluctuations,
up to 120%, cannot be explained by the modest (1-3%) pulse-energy flu
ctuations of either the resonant or the photoionizing field. In the ca
se of weak excitation, the fluctuations in the signal correlate strong
ly with the intensity in a narrow frequency band around the resonance.
In this weak-field region, the experimental correlation curves, i.e.,
the correlation between the signal and the spectral intensity versus
the frequency, agree well with calculations based on a simple linear-r
esponse model. With the aid of correlation analysis a resonance can be
localized with a single-mode resolution. As the resonant field is inc
reased the correlation between the signal and single-mode intensity di
minishes and almost disappears at full saturation. However, also in th
e saturation region, the correlation technique can be applied to local
ize a resonance with a resolution much better than that determined by
the laser linewidth.