The time-dependent photoelectron spectrum is studied in the context of
laser-induced continuum structures (LICSs), where a bound atomic stat
e is embedded into an atomic continuum by a strong laser field and the
structure probed from a second bound state with another (weak or stro
ng) laser. The situation where a second atomic continuum is also coupl
ed to the first via the lasers allows for the possibility of above-thr
eshold ionization (ATI) and the effect of LICS on ATI is examined here
. Weak- and strong-ATI regimes are identified and theoretical expressi
ons for the photoelectron spectra for both regimes obtained. The stron
g-ATI regime is characterized by non-Markoffian equations, unlike the
weak-ATI regime. Numerical results are presented for the weak-ATI regi
me and the criterion for weak and strong regimes obtained. The weak-re
gime photoelectron spectrum is determined from the eigenvalues and eig
envectors of the damped Hamiltonian matrix associated with the Schrodi
nger equation for the bound-state amplitudes. An interesting non-Loren
tzian sinc2 feature is found at the confluence point.