We study the multiphoton ionization of He by a strong ultrashort laser puls
e. We solve the time-dependent Schrodinger equation numerically by means of
a spectral method of configuration-interaction type (CI). Our method is ba
sed on an expansion on B-spline functions, more precisely each two-electron
configuration is built as an antisymmetrized B-spline product for the (two
-dimensional) radial part and dipolar spherical harmonics for the (four-dim
ensional) angular part. We focus on both the atomic structure calculations
and the laser-atom dynamics. We show that our approach allows one to proper
ly treat the electron-electron correlations so as to provide an accurate de
scription of many eigenstates simultaneously The method is applied in two d
ifferent situations: (a) the multiphoton excitation and ionization of heliu
m with photon energies ranging from 5.4 to 32.6 eV and (b) the two-photon i
onization of helium below the He+(2l) threshold and three-photon ionization
above the He2+ threshold with photon energies ranging from 25.8 to 34 eV.
The results are compared with other CI calculations (where a comparison is
possible) and, in case (a), tb Hartree-Fock calculations. In case (b) we pa
rticularly focus on the dynamics of the production of doubly-excited struct
ure by laser pulses with a duration which is shorter than the autoionizatio
n lifetime.