Abstract
Based on the Snyder-Michell model and using the ABCD matrix description of a strongly nonlocal nonlinear media (SNNM), the propagation properties of hollow sinh-Gaussian beams (HsGBs) through SNNM are investigated. The propagation formula, the second-order intensity moment beam width and the critical power for an on-waist incident HsG beam in SNNM are derived. The evolution of the intensity distribution pattern and the beam width of the HsGB are illustrated, graphically and analyzed with numerical examples. It is found that the HsGB pattern evolves periodically during propagation in SNNM, and its evolution behavior is strongly affected by the initial beam power and beam parameters. For a critical input power, the beam width keeps invariant during propagation, which can be regarded as a HsGB-soliton.
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