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2D spatial soliton generation of Airy-Hermite-Gaussian beam in noninstantaneous nonlinear media

Meizhi Zhang, Jin Zhang, Guangwen Huo, Kaili Ren, Fanxiao Sun, Shihao Zhang and Anxi Ru

Chaos, Solitons & Fractals, 2025, vol. 192, issue C

Abstract: We theoretically investigate the soliton formation of the Airy-Hermite-Gaussian beam (AHGB) in non-instantaneous photorefractive media by employing the split-step Fourier method in two dimensions. The simulation results suggest that the soliton's formation is closely relevant to the nonlinear effects regarding illumination time, beam order, and beam intensity. In a steady state, AHGB of different orders can form stable spatial solitons or multiple solitons when there is an appropriate beam amplitude. In the in-phase situation, the attractive interactions lead to the merging of zero-order AHGB and form a perfect soliton, a breathing soliton, or a fusion soliton pair according to different beam overlaps and intensities. Meanwhile, a soliton pair or multiple soliton pairs can emerge for the interactions of high-order AHGB. In the out-of-phase case, the repelling force leads the main lobes of AHGB to form dependent solitons, regardless of whether there is beam overlap or not. These findings have potential value in the application of all-optical devices.

Keywords: Spatial soliton; Airy-Hermite-Gaussian beam; Split-step Fourier method; Non-instantaneous nonlinearity effect (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:192:y:2025:i:c:s096007792500092x

DOI: 10.1016/j.chaos.2025.116079

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