Solitons in composite linear–nonlinear moiré lattices

We produce families of two-dimensional gap solitons (GSs) maintained by moiré lattices (MLs) composed of linear and nonlinear sublattices, with the defocusing sign of the nonlinearity. Depending on the angle between the sublattices, the ML may be quasiperiodic or periodic, composed of mutually incommensurate or commensurate sublattices, respectively (in the latter case, the inter-lattice angle corresponds to Pythagorean triples). The GSs include fundamental, quadrupole, and octupole solitons, as well as quadrupoles and octupoles carrying unitary vorticity. Stability segments of the GS families are identified by means of the linearized equation for small perturbations, and confirmed by direct simulations of perturbed evolution.

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Publication Details

Journal
Optics Letters
Published
2024-11-15
DOI
https://doi.org/10.1364/ol.546501
Citations
21
Primary Topic
Nonlinear Photonic Systems
Type
article
Field-Weighted Citation Impact
5.90

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article

Solitons in composite linear–nonlinear moiré lattices

Dumitru Mihalache, Liangwei Zeng, Jingzhen Li, Xing Zhu et al.
21 citations
Optics Letters
Nonlinear Photonic Systems
5.90
article

Solitons in composite linear–nonlinear moiré lattices

Dumitru Mihalache, Liangwei Zeng, Jingzhen Li, Xing Zhu, Boris A. Malomed
article en
21 citations

Abstract

We produce families of two-dimensional gap solitons (GSs) maintained by moiré lattices (MLs) composed of linear and nonlinear sublattices, with the defocusing sign of the nonlinearity. Depending on the angle between the sublattices, the ML may be quasiperiodic or periodic, composed of mutually incommensurate or commensurate sublattices, respectively (in the latter case, the inter-lattice angle corresponds to Pythagorean triples). The GSs include fundamental, quadrupole, and octupole solitons, as well as quadrupoles and octupoles carrying unitary vorticity. Stability segments of the GS families are identified by means of the linearized equation for small perturbations, and confirmed by direct simulations of perturbed evolution.

Optics LettersVol. 49(24)
Tel Aviv University (IL), Shenzhen University (CN), University of Tarapacá (CL), Horia Hulubei National Institute for R and D in Physics and Nuclear Engineering (RO), FZU ‒ Institute of Physics of the Academy of Sciences of the Czech Republic (CZ), Guangzhou Maritime College (CN)
National Natural Science Foundation of China, Israel Science Foundation, Basic and Applied Basic Research Foundation of Guangdong Province
Openalex Percentile: Top 3%
Nonlinear Photonic Systems
5.90
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