The erbium-doped Lithium niobate on insulator (Er:LNOI) platform has great promise in the application of telecommunication, microwave photonics, and quantum photonics due to its excellent electro-optic, piezo-electric, nonlinear nature as well as the gain characteristics in the telecommunication C-band. Here, we report a single-frequency Er:LNOI integrated laser based on dual-cavity structure. Facilitated by the Vernier effect and gain competition, the single-frequency laser can operate stably at 1531-nm wavelength with a 1484-nm pump laser. The output laser has a power of 0.31 uW, a linewidth of 1.2 MHz, and a side mode suppression ratio (SMSR) of 31 dB. Our work allows the direct integration of this laser source with existing LNOI components and paves the way for a fully integrated LNOI system.
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