Regensburg 2016 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 51: Delay and feedback Dynamics

DY 51.5: Talk

Thursday, March 10, 2016, 11:00–11:15, H47

Semi-Analytic Treatment of Phase Noise in Oscillatory Systems under Time-Delayed Feedback Control — •Lina Jaurigue, Benjamin Lingnau, and Kathy Lüdge — Institut f. Theo. Physik, Sekr. EW 7-1, Technische Universität Berlin, Hardenbergstr. 36, 10623Berlin, Germany

We study the effect of delayed coherent optical feedback on the phase noise in oscillatory systems. We derive a semi-analytical method [1] which gives further physical insight into the feedback dependence of the phase noise, and due to greatly reduced computation times allows for the investigation over greater parameter domains. We apply the method to passively-mode-locked semiconductor lasers to calculate the optical pulse timing jitter, showing an excellent agreement with numerical simulations as well as with experimental results. We derive an analytic expression for the timing jitter, which predicts a monotonic decrease in the timing jitter for resonant feedback of increasing delay lengths, scaling approximately as 1/τ with increasing feedback delay time τ. This trend is not related to an increased stability of the system but to the increase in the history of the solutions, which results in the influence of the noise being reduced and the pulse positions being correlated over longer times.

[1] L. Jaurigue, A. Pimenov, D. Rachinskii, E. Schöll, K. Lüdge, and A. Vladimirov, Phys. Rev. A 92, 053807 (2015)