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Nonlinear beam tapering and two-dimensional ring solitons.

V K Mezentsev1,2, E Podivilov2, I A Vaseva1,3

  • 1Novosibirsk State University, Novosibirsk 630090, Russia.

Physical Review. E
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Summary
This summary is machine-generated.

This study explores nonlinear beam tapering using the nonlinear lens effect to localize broad light fields. Researchers describe ring solitons in a unique optical system, demonstrating their stability via variational analysis.

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Area of Science:

  • Nonlinear optics
  • Wave propagation physics

Background:

  • Self-focusing is a key phenomenon in nonlinear optics.
  • Wave collapse can occur in nonlinear media.
  • Localized solitary waves offer potential for stable light field control.

Purpose of the Study:

  • To investigate the nonlinear lens effect for localized field distribution.
  • To describe two-dimensional ring solitons in a specific optical system.
  • To analyze the stability of these solitons.

Main Methods:

  • Exploiting the initial stage of self-focusing (nonlinear lens effect).
  • Modeling a system with a linear core and Kerr nonlinear cladding.
  • Employing standard variational analysis.

Main Results:

  • Demonstrated the nonlinear beam tapering effect.
  • Described two-dimensional localized solitary waves (ring solitons).
  • Showed solitons correspond to the minimum of the Hamiltonian, indicating stability.

Conclusions:

  • The nonlinear lens effect can be exploited for controlled light localization.
  • Ring solitons are stable in the described linear-core/nonlinear-cladding system.
  • Variational analysis confirms the stability of these localized wave structures.