An accurate and powerful pseudostate summation technique has been used to s
tudy multiphoton ionization of an atom. Results are obtained for three-phot
on ionization of hydrogen from the ground state, as well as from the metast
able 2s state. We calculate the ionization cross section from these states
for both linearly and circularly polarized light, thereby showing the effec
t of polarization of incident photons on the ionization cross section. Alth
ough our method of calculation is entirely different, the results mirror cl
osely those obtained by conventional methods.