The stability of a plane wave propagating in single- and double-pass b
road-area diode laser amplifiers is analyzed. It is found that lateral
ly periodic perturbations exhibit a longitudinal variation that is a m
ixture of exponential growth and periodic oscillation. The latter osci
llation has a spatial period related to the Talbot distance. Due to th
e interaction between these two effects, double-pass amplifiers become
unstable against lateral perturbations, and the field spontaneously c
ollapses into a periodic array of filaments. Experimental results are
presented that show good agreement with the theoretical analysis.