Timing jitter of passively mode-locked semiconductor lasers subject to optical feedback; a semi-analytic approach

Abstract

We propose a semi-analytical method of calculating the timing fluctuations in mode-locked semiconductor lasers and apply it to study the effect of delayed coherent optical feedback on pulse timing jitter in these lasers. The proposed method greatly reduces computation times and therefore allows for the investigation of the dependence of timing fluctuations over greater parameter domains. We show that resonant feedback leads to a reduction in the timing jitter and that a frequency-pulling region forms about the main resonances, within which a timing jitter reduction is observed. The width of these frequency-pulling regions increases linearly with short feedback delay times. We derive an analytic expression for the timing jitter, which predicts a monotonous decrease in the timing jitter for resonant feedback of increasing delay lengths, when timing jitter effects are fully separated from amplitude jitter effects. For long feedback cavities the decrease in timing jitter scales approximately as $1/\tau$ with the increase of the feedback delay time $\tau$.

References in corpus (2)

• Timing jitter in passively mode-locked semiconductor lasers
• Suppressing noise-induced intensity pulsations in semiconductor lasers by means of time-delayed feedback

Cited by in corpus (11)

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• Semiconductor laser mode locking stabilization with optical feedback from a silicon PIC
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• Influence of time-delayed feedback on the dynamics of temporal localized structures in passively mode-locked semiconductor lasers
• Influence of noise-induced modulations on the timing stability of passively mode-locked semiconductor laser subject to optical feedback
• Coherent pulse interactions in mode-locked semiconductor lasers
• Hopf Bifurcation of Relative Periodic Solutions: Case Study of a Ring of Passively Mode-Locked Lasers
• Equivariant Versions of Odd Number Theorem
• Bifurcation analysis of the Yamada model for a pulsing semiconductor laser with saturable absorber and delayed optical feedback