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We demonstrate a compact and robust method for generating a 399-nm lightresonant on the $^{1}S_{0}-^{1}P_{1}$ transition in ytterbium using asingle-pass periodically poled LiNbO$_{3}$ waveguide for second harmonicgeneration (SHG). The obtained output power at 399 nm was 25 mW when a 798-nmfundamental power of 380 mW was coupled to the waveguide. We observed nodegradation of the SHG power for 13 hours with a low power of 6 mW. Theobtained SHG light has been used as a seed light for injection locking, whichprovides sufficient power for laser cooling ytterbium.

Second harmonic generation at 399 nm resonant on the $^{1}S_{0}-^{1}P_{1}$ transition of ytterbium using a periodically poled LiNbO$_{3}$ waveguide