Optimization of laser stabilization via self-injection locking to WGM microresonator

TL;DR

This paper develops a detailed theoretical model for self-injection locking of semiconductor lasers to high-Q WGM microresonators, enabling significant linewidth reduction and improved laser stabilization.

Contribution

It introduces a comprehensive theoretical framework with five key parameters to optimize self-injection locking performance.

Findings

Laser linewidth can be reduced by two orders of magnitude.

Optimal parameter settings significantly enhance stabilization.

The model guides experimental realization of improved locking regimes.

Abstract

Self-injection locking is a dynamic phenomenon representing stabilization of the emission frequency of an oscillator with a passive cavity enabling frequency filtered coherent feedback to the oscillator cavity. For instance, self-injection locking of a semiconductor laser to a high-quality-factor (high-Q) whispering gallery mode (WGM) microresonator can result in multiple orders of magnitude reduction of the laser linewidth. The phenomenon was broadly studied in experiments, but its detailed theoretical model allowing improving the stabilization performance does not exist. In this paper we develop such a theory. We introduce five parameters identifying efficiency of the self-injection locking in an experiment, comprising back-scattering efficiency, phase delay between the laser and the high-Q cavities, frequency detuning between the laser and the high-Q cavities, the pump coupling efficiency, the optical path length between the laser and the microresonator. Our calculations show that the laser linewidth can be improved by two orders of magnitude compared with the case of not optimal self-injection locking. We present recommendations on the experimental realization of the optimal self-injection locking regime. The theoretical model provides deeper understanding of the self-injection locking and benefits multiple practical applications of self-injection locked oscillators.