A time- and space-dependent simulation for an optically pumped molecul
ar laser amplifier has been carried out. The influence of superfluores
cent emission, self-absorption of the laser emission and pump beam dep
letion have been included. We have studied the effect of spatial overl
ap of the pump and the signal beams and their intensity profile mismat
ch on the amplifier extraction efficiency. Strong generation of superf
luorescent emission is observed from that part of the excited amplifie
r volume which is not probed by the input signal when the signal and t
he pump beam do not overlap exactly. Thus, in order to achieve high am
plifier extraction efficiency and a reduced level of superfluorescent
emission, the pump and the signal beams should be overlapped spatially
, and their intensity profiles matched. Also, the requirement of spati
al overlap is more stringent for signal beams having uniform intensity
profiles.