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Multicolor vortex solitons in two-dimensional photonic lattices
Zhiyong Xu1, Yaroslav V Kartashov, Lucian-Cornel Crasovan
1ICFO-Institut de Ciencies Fotoniques, Department of Signal Theory and Communications, Universitat Politecnica de Catalunya, 08034 Barcelona, Spain.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 9, 2005
Summary
We found stable multicolor lattice vortex solitons made of coupled fundamental and second-harmonic waves. Their stability increases with optical lattice depth, demonstrating the feasibility of lattice soliton algebra.
Area of Science:
- Nonlinear Optics
- Soliton Physics
- Photonic Crystals
Background:
- Optical lattices provide a unique environment for controlling light propagation.
- Quadratic nonlinear media support phenomena like second-harmonic generation.
- Vortex solitons are self-trapped light beams with topological properties.
Purpose of the Study:
- To investigate the existence and stability of multicolor lattice vortex solitons.
- To explore the influence of lattice depth on soliton stability.
- To demonstrate the generation of these solitons and the concept of lattice soliton algebra.
Main Methods:
- Numerical simulations of coupled nonlinear wave equations.
- Analysis of soliton stability by examining eigenvalues.
- Investigating soliton generation through specific initial conditions.
Main Results:
- Existence and stability of multicolor lattice vortex solitons confirmed.
- Soliton stability is maintained across most of their existence domain.
- Instability domain shrinks as optical lattice depth increases.
- Successful generation of lattice vortex solitons demonstrated.
- Feasibility of lattice soliton algebra established.
Conclusions:
- Multicolor lattice vortex solitons are stable structures in quadratic nonlinear optical lattices.
- Lattice depth is a critical parameter for controlling soliton stability.
- These findings pave the way for advanced optical control and computation using soliton algebra.