We study theoretically the behavior of two atomic Rydberg series, coup
led by a light field that strongly drives the optical transition betwe
en the core states to which these series converge. It is shown that th
is strong-held version of isolated-core excitation leads to a Strong m
odification of the photoionization spectrum and to transitions between
adjacent Rydberg states when the Rabi frequency associated with the c
ore transition becomes larger than the Rydberg spacing. The intensitie
s and pulse durations (approximate to 2 GW/cm(2) and 1 ps, respectivel
y, for n approximate to 20 Rydberg states) needed for the observation
of these effects are within reach of present-day lasers.