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Vortex chaoticons in thermal nonlocal nonlinear media.

Qing Wang1,2, Milivoj R Belić3, Dumitru Mihalache4

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|December 23, 2022
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Laguerre-Gaussian vortex beams in nonlocal nonlinear media exhibit distinct propagation behaviors. For radial mode p=0, beams form stable solitons or break into unbounded states, while for p≥1, they evolve into chaoticons with both chaotic and solitonlike properties.

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Area of Science:

  • Nonlinear optics
  • Beam propagation dynamics
  • Vortex beam physics

Background:

  • Laguerre-Gaussian (LG) vortex beams are crucial in optical communications and microscopy.
  • Nonlocal nonlinear media exhibit unique light-matter interactions, influencing beam propagation.
  • Understanding beam behavior in such media is key to advanced optical applications.

Purpose of the Study:

  • To numerically investigate the propagation dynamics of Laguerre-Gaussian vortex beams.
  • To analyze the influence of azimuthal (m) and radial (p) mode numbers on beam behavior.
  • To characterize the formation and properties of solitons, unbounded states, and chaoticons.

Main Methods:

  • Numerical simulations of Laguerre-Gaussian vortex beam propagation.
  • Analysis of beam parameters (m, p) and their impact on propagation outcomes.
  • Characterization of beam properties using Lyapunov exponents, spatial decoherence, beam width, and power.

Main Results:

  • For p=0, beams form stable solitons (m≤2) or break into unbounded states (m≥3).
  • For p≥1, beams evolve into vortex chaoticons exhibiting chaotic and solitonlike characteristics.
  • Chaoticons demonstrate stable beam width and quasielastic collisions, unlike decaying unbounded states.

Conclusions:

  • The propagation of LG vortex beams is highly sensitive to mode numbers m and p in nonlocal nonlinear media.
  • Vortex chaoticons represent a novel class of beams with dual properties, maintaining power and angular momentum.
  • This research offers insights into controlling and utilizing complex beam structures in nonlinear optics.