We show how the dependence of a nonsaturated excitation process on local, instantaneous intensity can be obtained from temporally and spatially unresolved data by inversion, even for a nonuniform intensity distribution in the probe volume. This treatment is in contrast with the usual approach in which effects of nonuniform excitation are either disregarded or simulated. For exponential intensity profiles, the solution is obtained in the form of Abel inversion. The ill-conditioned nature of the problem is demonstrated, and extension to the study of intensity-dependent line shapes is made.
© 1988 Optical Society of America
Original Manuscript: April 5, 1988
Manuscript Accepted: June 13, 1988
Published: November 1, 1988
Wilhelmus M. Ruyten and J. W. L. Lewis, "Recovery of excitation intensity dependence in pulsed, focused beams: nonsaturated case," J. Opt. Soc. Am. B 5, 2368-2373 (1988)