Lan, Z; You, JW; Panoiu, NC; (2020) Nonlinear one-way edge-mode interactions for frequency mixing in topological photonic crystals. Physical Review B , 101 (15) , Article 155422. 10.1103/PhysRevB.101.155422.

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Abstract

Topological photonics aims to utilize topological photonic bands and corresponding edge modes to implement robust light manipulation, which can be readily achieved in the linear regime of light-matter interaction. Importantly, unlike solid-state physics, the common test bed for new ideas in topological physics, topological photonics provides an ideal platform to study wave mixing and other nonlinear interactions. These are well-known topics in classical nonlinear optics but largely unexplored in the context of topological photonics. Here, we investigate nonlinear interactions of one-way edge modes in frequency mixing processes in topological photonic crystals. We present a detailed analysis of the band topology of two-dimensional photonic crystals with hexagonal symmetry and demonstrate that nonlinear optical processes, such as second- and third-harmonic generation, can be conveniently implemented via one-way edge modes in this setup. Moreover, we demonstrate that more exotic phenomena, such as slow-light enhancement of nonlinear interactions and harmonic generation upon interaction of backward-propagating (left-handed) edge modes, can also be realized. Our work opens up new avenues towards topology-protected frequency mixing processes in photonics.

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