Solvent-induced two-photon absorption cross sections are calculated for a p
ush-pull molecule in solutions using both self-consistent reaction field an
d internal finite field approaches. It is shown analytically and numericall
y that the results from the two methods can be connected through induced lo
cal reaction field factors. The two-photon cross sections of the studied pu
sh-pull polyene are found to be rather insensitive to the choice of cavity
shape. The solvent dependence of the two-photon absorption displays a patte
rn different from that of the first hyperpolarizability.