All-optical realisations of multiple reduction copy machines (MRCMs) are tr
eated as laser resonators. Intra-cavity elements image a plane inside the r
esonator onto various parts of itself. In this plane, the intensity cross-s
ection of the lowest-loss mode is a diffraction-limited approximation to a
self-similar (or self-affine) fractal. After inclusion of a coherent gain m
edium resonators of this type constitute lasers with self-similar eigenmode
s. (C) 2000 Elsevier Science B.V. All rights reserved.