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Interface solitons in two-dimensional photonic lattices.

Mario I Molina¹, Yuri S Kivshar

¹Departmento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile. mmolina@uchile.cl

|November 28, 2008

Summary

We investigated light localization at interfaces between square and hexagonal photonic lattices. Lattice topology significantly influences surface states and the stability of two-dimensional interface solitons.

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Area of Science:

Photonics
Nonlinear Optics
Condensed Matter Physics

Background:

Photonic lattices offer unique light manipulation properties.
Interface states are crucial for understanding light localization phenomena.
Previous studies have explored various lattice structures and nonlinear effects.

Purpose of the Study:

To analyze light localization at interfaces between square and hexagonal photonic lattices.
To determine conditions for linear and nonlinear surface states.
To investigate the stability of two-dimensional interface solitons under varying symmetries and couplings.

Main Methods:

Theoretical analysis of light propagation in photonic lattices.
Numerical simulations of wave localization at interfaces.
Investigation of self-focusing nonlinearity in two-dimensional laser-written waveguides.

Main Results:

Lattice topology substantially influences the existence and properties of surface states.
Symmetry and coupling parameters affect the stability of interface solitons.
Conditions for both linear and nonlinear surface states were identified.

Conclusions:

The topology of photonic lattices plays a critical role in light localization at interfaces.
Understanding interface soliton stability is essential for designing advanced photonic devices.
This research provides insights into controlling light behavior in complex optical systems.