Gaussian beam evolution in nonlinear media of Kerr type

Authors

  • Paweł Berczyński
  • Yury Kravtsov

DOI:

https://doi.org/10.4302/photon.%20lett.%20pl.v5i1.381

Abstract

The paper generalizes paraxial complex geometrical optics (PCGO) for Gaussian beam (GB) propagation in nonlinear media of Kerr type. PCGO deals with ordinary differential equations for the beam amplitude and for complex curvature of the wave front which describe evolution of axially symmetric GB in Kerr type nonlinear medium. It is shown that PCGO readily provides the solutions of NLS equation obtained earlier from diffraction theory on the basis of the aberration-free approach. Besides reproducing classical results of self-focusing PCGO readily describes an influence of the initial curvature of the wave front on the beam evolution in medium of Kerr type.

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References
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Published

2013-03-28

How to Cite

[1]
P. Berczyński and Y. Kravtsov, “Gaussian beam evolution in nonlinear media of Kerr type”, Photonics Lett. Pol., vol. 5, no. 1, pp. pp. 29–31, Mar. 2013.

Issue

Vol. 5 No. 1 (2013)

Section

Articles

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