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Solitons in composite linear-nonlinear moiré lattices
Optics Letters
|December 13, 2024
Summary
We generated two-dimensional gap solitons (GSs) using moiré lattices (MLs). These solitons, including various charge states and vorticities, were found to be stable across specific parameter ranges.
Area of Science:
- Nonlinear optics
- Condensed matter physics
- Mathematical physics
Background:
- Moiré lattices (MLs) offer unique periodicities and symmetries.
- Gap solitons (GSs) are localized nonlinear waves in photonic bandgaps.
- Controlling soliton properties via lattice geometry is an active research area.
Purpose of the Study:
- To investigate the creation and stability of two-dimensional gap solitons (GSs).
- To explore the influence of moiré lattice (ML) geometry on GS characteristics.
- To analyze different types of GSs, including those with vorticity.
Main Methods:
- Numerical generation of GS families within MLs with defocusing nonlinearity.
- Analysis of ML periodicity (quasiperiodic/periodic) based on sublattice angles.
- Stability analysis using linearized perturbation equations and direct simulations.
Main Results:
- Families of fundamental, quadrupole, and octupole GSs were produced.
- GSs carrying unitary vorticity were successfully generated.
- Stability segments for these GS families were identified and confirmed.
Conclusions:
- Moiré lattices provide a versatile platform for generating and controlling 2D gap solitons.
- The stability of GSs is dependent on the specific ML geometry and soliton type.
- This work expands the understanding of nonlinear wave phenomena in complex lattice structures.
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