Using full vector Maxwell simulations we elucidate a fundamental source of
temporal splitting of the second harmonic field generated by a femtosecond
fundamental pulse under phase-mismatched conditions. One component of the g
enerated field propagates at the second harmonic group velocity while the o
ther is driven by the fundamental field and propagates at the fundamental g
roup velocity. We analyze the conditions under which the temporal splitting
should be observable.