We study the propagation of intense optical beams in layered Kerr media. Wi
th appropriate shapes, beams with a power close to the self-focusing thresh
old are shown to propagate over long distances as quasistationary waveguide
s in cubic media supporting a periodic nonlinear refractive index. (C) 2000
Optical Society of America OCIS codes: 190.3270, 260.5950, 230.7390, 350.5
500.