Abstract
This work proposes an algorithm for the auto-relock of an ultra-stable laser, considering the potential issues of losing lock during long-term operation due to shocks to the system and frequency drifts. We adopt a method of re-searching the lock point to address the lost lock induced by the shocks, where the test of auto-relock with a 100% success rate is carried 1690 times. The median time and the shortest time of auto-relock are 0.62 s and 0.08 s, respectively. To address the issue of lost lock caused by long-term drifts of the optical reference cavity and laser source, we employ a pre-corrective auto-relock method that relies on the output signals of the servo system. The test is carried 4100 times, in which the median time is about 0.2 s. A comparison of two similar ultra-stable lasers shows that the fractional instability frequency is about 5.84 × 10-15 at 1 s averaging time and the linewidth is approximately 1.5 Hz. This work presents an algorithm for auto-relock in ultra-stable lasers. The algorithm has potential benefits for the development of optical clocks and fiber-optic frequency transmission.
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