Experiments with nonlinear self-refraction of Gaussian laser beams in
silica sono-gels doped with copper tetrasulfonated phthalocyanine are
reported. The propagation of laser beams inside nonlinear sol-gel samp
les with different Cu-phthalocyanine concentrations has been monitored
by measuring the spatial beam profile in the near field and in the fa
r field behind the sample. The experimental results are analyzed by a
new simple theoretical approach, in which we assume that the incident
Gaussian beam induces a phase shift that varies as a Gaussian function
of the beam radius. The beam propagation behind the sample is determi
ned by the Huygens-Fresnel integral formalism. By solving the Huygens-
Fresnel integral, analytical expressions for the spatial beam profile
in both the near field and the far field after the nonlinear sample ar
e obtained, Experiments are carried out with a diode pumped frequency
doubled Nd-YAG laser at 532 nm. We obtain very large third-order nonli
nearities in these doped sol-gel samples at temperatures just above ro
om temperature. When we compare the predictions of the theory with the
experimental data, we find experimental values of the nonlinear third
-order susceptibility up to -2.3 X 10(-4) esu. (C) 1997 American Insti
tute of Physics.