Theoretical analyses of molecular response to ultrafast pulse excitati
on often do not account for the influence of high frequency modes on t
he spectrum of the molecule. In a previous article [M. N. Kobrak, E. M
. Hiller, and S. A. Rice, J. Chem. Phys. 105, 9403 (1996)], we have sh
own that the high frequency modes of the molecule can dramatically cha
nge the distribution of an observable in processes initiated by a sing
le ultrashort pulse. In this article we extend our treatment to allow
for two-pulse processes, and apply the results to two models which hav
e a qualitative resemblence to bacteriorhodopsin. (C) 1997 American In
stitute of Physics.