Nonlinear self-refraction of Gaussian laser beams in silica sono-gels doped with copper tetrasulfonated phthalocyanine

Paul Michael Petersen; Rocio Litran Ramos; Per Michael Johansen; Lars Rene Lindvold

doi:10.1117/12.248617

26 August 1996 Nonlinear self-refraction of Gaussian laser beams in silica sono-gels doped with copper tetrasulfonated phthalocyanine

Paul Michael Petersen, Rocio Litran Ramos, Per Michael Johansen, Lars Rene Lindvold

Author Affiliations +

Proceedings Volume 2788, High-Power Lasers: Gas and Solid State Lasers; (1996) https://doi.org/10.1117/12.248617
Event: Lasers, Optics, and Vision for Productivity in Manufacturing I, 1996, Besancon, France

Abstract

In this paper we present a new theory for nonlinear self- refraction of Gaussian laser beams in Kerr-like materials and its application to determine the third order nonlinear susceptibility in silica sono-gels doped with copper tetrasulfonated phthalocyanine. In the theory we assume that the incident Gaussian beam induces a phase shift that varies as a Gaussian function of the beam radius in the sample. The profile of the intensity in the sample is furthermore assumed to remain Gaussian. The beam propagation after the sample is determined by using the Huygens-Fresnel integral formula. By solving this complicated Huygens-Fresnel integral we obtain analytical expressions for the spatial beam profile in the near-field and in the far-field after the nonlinear sample.

Citation Download Citation

Paul Michael Petersen, Rocio Litran Ramos, Per Michael Johansen, and Lars Rene Lindvold "Nonlinear self-refraction of Gaussian laser beams in silica sono-gels doped with copper tetrasulfonated phthalocyanine", Proc. SPIE 2788, High-Power Lasers: Gas and Solid State Lasers, (26 August 1996); https://doi.org/10.1117/12.248617

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