Topologically protected second-harmonic generation via doubly resonant high-order photonic modes
Yafeng Chen, Zhihao Lan, Jensen Li, and Jie Zhu

TL;DR
This paper proposes a topologically protected method for high-efficiency second-harmonic generation using doubly resonant high-order photonic modes in a topological insulator, demonstrating robustness and potential for nonlinear frequency conversion.
Contribution
It introduces a novel approach to achieve topologically protected nonlinear frequency conversion via doubly resonant corner states in a photonic topological insulator.
Findings
Predicted unprecedented frequency conversion efficiency.
Demonstrated robustness against defects.
Achieved high-quality localized topological corner states.
Abstract
Topology-driven nonlinear light-matter effects open up new paradigms for both topological photonics and nonlinear optics. Here, we propose to achieve high-efficiency second-harmonic generation in a second-order photonic topological insulator. Such system hosts highly localized topological corner states with large quality factors for both fundamental and second harmonic waves, which could be matched perfectly in frequency by simply tuning the structural parameters. Through the nonlinear interaction of the doubly resonant topological corner states, unprecedented frequency conversion efficiency is predicted. In addition, the robustness of the nonlinear process against defects is also demonstrated. Our work opens up new avenues toward topologically protected nonlinear frequency conversion using high-order photonic topological modes.
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