Photonic quasicrystals for general purpose nonlinear optical frequency conversion

TL;DR

This paper introduces a versatile design method for 2D nonlinear photonic quasicrystals enabling simultaneous phase-matching of multiple optical frequency conversions, advancing nonlinear optics technology.

Contribution

It presents a generalized dual-grid design approach for creating nonlinear photonic quasicrystals with complete flexibility, surpassing previous limitations.

Findings

Successfully designed a color fan quasicrystal for multiple harmonic generation.

Demonstrated simultaneous phase-matching for second, third, and fourth harmonics.

Provided a flexible, constraint-free design framework for nonlinear optical devices.

Abstract

We present a general method for the design of 2-dimensional nonlinear photonic quasicrystals that can be utilized for the simultaneous phase-matching of arbitrary optical frequency-conversion processes. The proposed scheme--based on the generalized dual-grid method that is used for constructing tiling models of quasicrystals--gives complete design flexibility, removing any constraints imposed by previous approaches. As an example we demonstrate the design of a color fan--a nonlinear photonic quasicrystal whose input is a single wave at frequency $\omega$ and whose output consists of the second, third, and fourth harmonics of $\omega$, each in a different spatial direction.