The beam quality of a radial laser array, quantified in terms of the M
-2 propagation constant, is determined as a function of array element
configuration. A lower bound on array M-2 is estimated for both phase-
locked and nonphase-locked conditions. It is shown that, to achieve ne
ar-unity M-2 array, either aperture filling or spatial filtering is re
quired in addition to phase locking. An aperture-filling method suitab
le for radial arrays of CO2 slab lasers is presented. (C) 1998 Optical
Society of America.