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Solitons in spiraling Vogel lattices
Yaroslav V Kartashov1, Victor A Vysloukh, Lluis Torner
1Institut de Ciencies Fotoniques (ICFO) and Universitat Politecnica de Catalunya, Castelldefels, Barcelona 08860, Spain. Yaroslav.Kartashov@icfo.eu
Optics Letters
|March 5, 2013
Summary
Vogel optical lattices support stable light solitons in various media. Their unique structure enables spiraling soliton motion, expanding possibilities for optical physics research.
Area of Science:
- Nonlinear optics
- Condensed matter physics
- Mathematical physics
Background:
- Vogel optical lattices are a class of quasiperiodic structures.
- Light propagation in periodic and quasiperiodic lattices is a key area of research.
- Solitons are stable, self-reinforcing wave packets that maintain their shape during propagation.
Purpose of the Study:
- To investigate light propagation in Vogel optical lattices.
- To identify and characterize stable soliton solutions within these lattices.
- To explore the influence of lattice structure on soliton dynamics, including spiraling motion.
Main Methods:
- Numerical simulations of light propagation equations.
- Analysis of soliton stability and propagation constants.
- Examination of the spectral properties of Vogel lattices.
Main Results:
- Vogel optical lattices support stable soliton solutions in both self-focusing and self-defocusing nonlinear media.
- Propagation constants of these solitons reside in spectral gap-like regions.
- The azimuthal complexity of Vogel lattices facilitates the generation of spiraling soliton trajectories.
Conclusions:
- Vogel optical lattices offer a versatile platform for stable soliton formation.
- The unique spectral and structural properties of Vogel lattices enable novel soliton dynamics, such as spiraling motion.
- This work expands the understanding of light localization and nonlinear phenomena in quasiperiodic systems.
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