Two-dimensional spatial optical solitons in bulk Kerr media stabilized by self-induced multiphoton ionization: Variational approach

1996/04/01 by S. Henz, J. Herrmann, Joachım Herrmann · 3 citations
Physics and Astronomy · #Advanced Fiber Laser Technologies #Laser-Matter Interactions and Applications #Nonlinear Photonic Systems

paper · doi:10.1103/physreve.53.4092

openalex publication_date 1996/04/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The beam parameters of spatial two-dimensional solitons in a bulk medium under the influence of the combined effects of diffraction, Kerr nonlinearity, and nonlinear index change by plasma creation will be studied with the help of a variational approach. A simple analytical relation for the power of a spatial two-dimensional soliton is derived which shows a two-valued behavior in dependence on the beam diameter. The variational approximation is compared with numerical and experimental results. The solution is proven to be stable against small perturbations in the whole parameter region. \textcopyright 1996 The American Physical Society.

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