We present a detailed description of the pulse shaping of ultrashort laser
pulses with nonlinear optical crystals by introducing a time delay between
two fundamental pulses. We demonstrate that the frequency reconversion proc
ess from a second-harmonic pulse to fundamental pulses will play an importa
nt role in fundamental pulse compression and tl ain pulse generation. A col
linear type II potassium dihydrogen phosphate (KDP) crystal can be used to
achieve complete pulse shaping for a 1053 nm wavelength. Under conditions o
f a 50 GW/cm(2) fundamental intensity, a 1.0 ps fundamental pulse duration
and a 0.7 ps delay time, the second-harmonic pulse can be compressed to 0.1
4ps. In addition, the fundamental pulse can be compressed to 0.3 ps by intr
oducing an intensity unbalance into the two fundamental pulses. Furthermore
, the train pulse can be generated by increasing the fundamental intensity
over 20GW/cm(2) A train pulse with three 0.1 ps individual pulses with a 2.
5 THz frequency interval can be generated for a 100 GW/cm(2) fundamental in
tensity. We also demonstrate that pulse shaping with a noncollinear type I
BBO crystal can be achieved at wavelengths near 800 nm.