We present calculations of population transfer to excited states of xe
non that shift into six-photon resonance during intense, sub-100-fs la
ser pulses. If the excited-state lifetime is comparable to or longer t
han the pulse width, the amount of population trapped in the excited s
tate exhibits interference fringes as a function of peak intensity due
to the double passage through resonance during the laser pulse. These
interference fringes can reveal information about the behavior of exc
ited states at intensities well above resonance, including stabilizati
on against ionization. The population transfer can also be affected by
using chirped pulses which make the passages through resonance asymme
tric. A strong dependence on the sign of the chirp is found due to the
finite lifetime of the excited state. We discuss prospects for observ
ing this interference experimentally.