Noise of mode-locked lasers (Part II): timing jitter and other fluctuations

Paschotta, Rüdiger

doi:10.1007/s00340-004-1548-9

Cited by 240 publications

(172 citation statements)

References 33 publications

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“…This differs from the quantum fluctuations-induced variance in the time of arrival of the optical pulses themselves by 1 ⁄ [29]. (The difference arises from the fact that, for < 1, there is an additional randomness associated with detection that increases the noise [50].)…”

Section: Gaussian Pulsesmentioning

confidence: 96%

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Exploiting shot noise correlations in the photodetection of ultrashort optical pulse trains

et al. 2013

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We present a frequency domain model of shot noise in the photodetection of ultrashort optical pulse trains using a time-varying analysis. Shot noise-limited photocurrent power spectral densities, signal-tonoise expressions, and shot noise spectral correlations are derived that explicitly include the finite response of the photodetector. It is shown that the strength of the spectral correlations in the shot noise depends on the optical pulse width, and that these correlations can create orders-of-magnitude imbalance between the shot noise-limited amplitude and phase noise of photonically generated microwave carriers. It is also shown that only by accounting for spectral correlations can shot noise be equated with the fundamental quantum limit in the detection of optical pulse-to-pulse timing jitter.

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Section: Gaussian Pulsesmentioning

confidence: 96%

“…A related quantity is the shot noise-limited relative intensity noise (RIN) spectrum, given by the ratio of the one-sided shot noise PSD to the power at DC [29,35,38,42]: …”

Section: Shot Noise Power and Signal-to-noisementioning

confidence: 99%

Exploiting shot noise correlations in the photodetection of ultrashort optical pulse trains

et al. 2013

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“…It successfully predicted the noise behavior of many mode-locked solid-state and fiber lasers [16,19,21,22]. Recently, it was discussed that the scaling of phase diffusion found in the Haus/Mecozzi model is generally applicable, independent from soliton effects [23].…”

Section: Timing Jitter Of Optical Pulse Trains From Mode-locked Lasersmentioning

confidence: 95%

Attosecond‐precision ultrafast photonics

Kim

Kärtner

2010

Laser & Photonics Reviews

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We review our recent progress toward attosecondprecision ultrafast photonics based on ultra-low timing jitter optical pulse trains from mode-locked lasers. In femtosecond mode-locked lasers, the concentration of a large number of photons in an extremely short pulse duration enables the scaling of timing jitter into the attosecond regime. To characterize such jitter levels, we developed new attosecond-resolution measurement techniques and show that standard fiber lasers can achieve sub-fs high-frequency jitter. By leveraging the ultralow jitter of free-running mode-locked lasers, we pursued highprecision optical-optical and optical-microwave synchronization techniques. Optical signals spanning 1.5 octaves were synthesized by attosecond-precision timing and phase synchronization of two independent mode-locked lasers. High-stability microwave signals were also synthesized from mode-locked lasers with drift-free sub-10-fs precision. We further demonstrated the attosecond-precision distribution of optical pulse trains to remote locations via timing-stabilized fiber links. Finally, the application of optical pulse trains for high-resolution sampling and analog-to-digital conversion is discussed.The ultra-low timing jitter of optical pulse trains from femtosecond mode-locked lasers can be used for the attosecond-precision generation, distribution, measurement, and synchronization of optical and microwave signals.

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“…The absence of Raman selffrequency shift is expected in crystalline MgF 2 platforms, where the Raman gain is spectrally narrow [37]. The recoil on the soliton implies a change in the soliton's group velocity and thus a modification of the comb repetition rate, according to [38], similar to the Gordon-Haus effect in mode-locked lasers [39,40]. This is verified in Figure 5f, where the change in the repetition rate frequency is plotted as a function of the measured recoil and fitted with a linear model.…”

Section: Study Of the Detuning-dependent Mode Crossings And Solitomentioning

confidence: 95%

Detuning-dependent properties and dispersion-induced instabilities of temporal dissipative Kerr solitons in optical microresonators

et al. 2017

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Temporal-dissipative Kerr solitons are self-localized light pulses sustained in driven nonlinear optical resonators. Their realization in microresonators has enabled compact sources of coherent optical frequency combs as well as the study of dissipative solitons. A key parameter of their dynamics is the effective-detuning of the pump laser to the thermally-and Kerr-shifted cavity resonance. Together with the free spectral range and dispersion, it governs the soliton-pulse duration, as predicted by an approximate analytical solution of the Lugiato-Lefever equation. Yet, a precise experimental verification of this relation was lacking so far. Here, by measuring and controlling the effective-detuning, we establish a new way of stabilizing solitons in microresonators and demonstrate that the measured relation linking soliton width and detuning deviates by less than 1% from the approximate expression, validating its excellent predictive power. Furthermore, a detuning-dependent enhancement of specific comb lines is revealed, due to linear couplings between mode-families. They cause deviations from the predicted comb power evolution, and induce a detuning-dependent soliton recoil that modifies the pulse repetition-rate, explaining its unexpected dependence on laser-detuning. Finally, we observe that detuning-dependent mode-crossings can destabilize the soliton, leading to an unpredicted soliton breathing regime (oscillations of the pulse) that occurs in a normally-stable regime. Our results test the approximate analytical solutions with an unprecedented degree of accuracy and provide new insights into dissipative-soliton dynamics.

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Noise of mode-locked lasers (Part II): timing jitter and other fluctuations

Cited by 240 publications

References 33 publications

Exploiting shot noise correlations in the photodetection of ultrashort optical pulse trains

Exploiting shot noise correlations in the photodetection of ultrashort optical pulse trains

Attosecond‐precision ultrafast photonics

Detuning-dependent properties and dispersion-induced instabilities of temporal dissipative Kerr solitons in optical microresonators

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