The second-harmonic generation for a Ti:Sapphire laser (790 nm) is simulate
d with a femtosecond pulse. KDP type I and type II crystals are used for th
e second-harmonic generator. To discuss the phase mismatching in the second
-harmonic generation, we simulated the wave equations, including group velo
city, group-velocity dispersion, and third-order nonlinear susceptibility,
for a femtosecond pulse. The results of the simulation show that the conver
sion efficiency is decreased mainly by the third-order nonlinear susceptibi
lity at the KDP type I crystal and by the group-velocity mismatch at the KD
P type II crystal. The optimum efficiency is 22.9 % at the KDP type I cryst
al and 9.2 % at the KDP type II crystal with a time delay of 80 fs under an
input intensity of 500 GW/cm(2).