Nonlinear one-way edge-mode interactions for frequency mixing in topological photonic crystals

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 provide 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 of 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.

16 pages, 11 figures

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• Nanomechanical topological insulators with an auxiliary orbital degree of freedom
• Topological Phases of Photonic Crystals under Crystalline Symmetries
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• Topologically protected second-harmonic generation via doubly resonant high-order photonic modes
• Multiplexing-oriented plasmon-MoS2 hybrid metasurfaces driven by nonlinear quasi bound states in the continuum
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• Light bullets in Su-Schrieffer-Heeger photonic topological insulators
• Broadband Resonance-Enhanced Frequency Generation by Four-Wave Mixing in a Silicon Floquet Topological Photonic Insulator
• Topological gap solitons in Rabi Su-Schrieffer-Heeger lattices
• All-optical control of topological valley transport in graphene metasurfaces
• Optically controllable coupling between edge and topological interface modes of graphene metasurfaces
• Topological edge solitons in \{chi}(2) waveguide arrays
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