Phase matching in nonlinear chi((2)) photonic crystals

Area of Science:

• Nonlinear optics
• Materials science
• Photonics

Background:

• Two-dimensional (2D) nonlinear photonic crystals offer unique properties for light manipulation.
• Harmonic generation and parametric frequency conversion are key processes in nonlinear optics.
• Achieving multicolor output requires precise control over phase matching conditions.

Purpose of the Study:

• To analyze harmonic generation in a 2D chi((2)) photonic crystal.
• To demonstrate the potential for multiple phase matching and multicolor parametric frequency conversion.
• To propose a novel photonic structure for simultaneous multicolor harmonic generation.

Main Methods:

• Analysis of harmonic generation in a 2D chi((2)) photonic crystal.
• Theoretical modeling and derivation of general analytical results.
• Design parameter calculations for 2D periodically poled LiNbO(3) structures.

Main Results:

• Demonstrated the possibility of multiple phase matching.
• Showcased multicolor parametric frequency conversion.
• Presented design parameters for 2D periodically poled LiNbO(3) structures.

Conclusions:

• The proposed 2D photonic structure enables simultaneous generation of several harmonics.
• Multiple phase matching is achievable in these structures.
• The findings provide a pathway for advanced multicolor light sources.