It is well known that uniform illumination of a lens leads to a focal
field with a pattern of dark Airy rings in the focal plane, whereas th
is is not the case for Gaussian illumination. We show theoretically an
d experimentally that in the transition between the two cases the Airy
rings, being phase singularities, reorganize themselves by means of a
creation-annihilation process leading to new dark rings outside the f
ocal plane. (C) 1997 Optical Society of America.