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Optical limiting and intensity-dependent diffraction from low-contrast nonlinear periodic media: Coupled-mode
Jamin L Sheriff1, Irene A Goldthorpe, Edward H Sargent
1Department of Electrical and Computer Engineering, University of Toronto, 10 Kings College Road, Toronto, Ontario, Canada.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 5, 2004
Summary
Low-contrast nonlinear photonic crystals exhibit optical limiting and intensity-dependent diffraction. This study develops coupled-mode equations for 2D hexagonal lattices using the method of multiple scales.
Area of Science:
- Nonlinear optics
- Materials science
- Condensed matter physics
Background:
- Nonlinear photonic crystals offer unique light manipulation properties.
- Developing analytical and numerical methods for studying these materials is crucial.
- Low-contrast materials present specific challenges in theoretical modeling.
Purpose of the Study:
- To derive coupled-mode equations for low-contrast nonlinear photonic crystals using the method of multiple scales.
- To investigate the optical properties of two-dimensional (2D) hexagonal lattices.
- To demonstrate novel nonlinear optical phenomena in these engineered materials.
Main Methods:
- Application of the method of multiple scales to derive coupled-mode equations.
- Development of a procedure for low-contrast nonlinear photonic crystals in 1D, 2D, and 3D.
- Numerical solution of coupled-mode equations for a 2D hexagonal lattice.
Main Results:
- Successfully obtained coupled-mode equations for three coupled modes in a 2D hexagonal lattice.
- Demonstrated that 2D low-contrast nonlinear photonic crystals support optical limiting.
- Observed intensity-dependent diffraction in these photonic crystal structures.
Conclusions:
- The method of multiple scales is effective for deriving coupled-mode equations in low-contrast nonlinear photonic crystals.
- 2D low-contrast nonlinear photonic crystals exhibit significant nonlinear optical effects like optical limiting and intensity-dependent diffraction.
- These findings pave the way for novel applications in optical devices and light control.