We express the detachment cross section caused by a Gaussian pulsed laser i
n terms of that caused by a continuous laser. Using this expression and Poi
sson's summation formula, we derive a uniform semiclassical formula for the
cross section of pulsed-laser photodetachment of a hydrogen ion H- in Stat
ic parallel electric and magnetic fields. The uniform semiclassical formula
does not have a divergence problem at the bifurcation points. Numerical co
mparisons show an excellent agreement between the uniform semiclassical for
mula and the quantum formula for the detachment cross section.