Integrated solid-state lasers have the advantage of offering narrow linewidth, well below the MHz range, making them ideal for various applications, from sensing to telecommunication. High coherence free-running lasers are difficult to characterize, due to the combination of a reduced linewidth with potential frequency drift. Conventional techniques such as optical self-heterodyning solutions require decorrelation lengths of several hundreds of km, and standard RF phase noise measurements are not compatible with slow varying effects due to the presence of frequency drift. In order to analyze the coherence of ion-exchanged co-doped Er-Yb integrated glass lasers during free-running operations, we developed a direct measurement of the optical phase by analyzing heterodyne signals in the time domain. From the analysis of the phase evolution in time, we estimate the linewidth of ion exchange glass lasers, estimated to be 1 kHz, while being able to discriminate optical contributions from slow varying processes generating frequency drift.
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