Timing Jitter and Frequency Shift in Dispersion-Managed Soliton Systems with Raman Scattering Effect

We have studied the timing jitter in dispersion-managed soliton systems with a Gaussian pulse by two methods. Firstly, the timing jitter expressions for dispersion-managed soliton are derived by use of the perturbed variational method. By analyzing and simulating the timing jitter expressions, one can find that the timing jitter is induced by the amplifier spontaneous emission noise, the frequency shift, etc. The chirp sign, the soliton self-frequency shift, and the filters action also have effects on the timing jitter. Secondly, the timing jitter is calculated and analyzed by the moment method. The results of the two methods are proved to be consistent.     

Ultralow-noise mode-locked optical pulse trains from an external cavity laser based on a slab coupled optical waveguide amplifier (SCOWA)

We report the generation of optical pulse trains with 8.5 fs timing jitter (10 Hz to 10 MHz) from a mode-locked semiconductor laser, with a slab coupled optical waveguide amplifier used as the gain element. This is, to our knowledge, the lowest residual timing jitter reported to date from an actively mode-locked laser.     

Gordon–Haus timing jitter in dispersion-managed systems with distributed amplification

The moment method is used to study the Gordon–Haus timing jitter of optical pulses in dispersion-managed communication systems with distributed amplification. Timing-jitter formulas are derived for the dispersion-managed soliton and chirped return-to-zero formats. These formulas are used to study the effects of dispersion compensation on timing jitter. Just as distributed amplification reduces the amount of amplifier noise, so also does it reduce the timing jitter caused by amplifier noise. For both transmission formats, one can reduce the timing jitter significantly by choosing the amount of dispersion compensation judiciously.     

Non-Gaussian statistics of soliton timing jitter induced by amplifier noise

Based on first-order perturbation theory of the soliton, the Gordon-Haus timing jitter induced by amplifier noise is found to be non-Gaussian distributed. Both frequency and timing jitter have larger tail probabilities than Gaussian distribution given by the linearized perturbation theory. The timing jitter has a larger discrepancy from Gaussian distribution than does the frequency jitter.     

超导纳米线单光子探测系统的时间抖动

超导纳米线单光子探测(SNSPD)器件具有较低的时间抖动特性,可以实现低误码率的QKD和高精度的激光测距。文中对超导纳米线单光子探测系统的时间抖动进行了详细的分析和测量,分析了SNSPD系统各部分对系统抖动的贡献。使用时间相关的单光子计数技术(TCSPC)和示波器的抖动分析软件,分别测量了SNSPD系统的时间抖动,比较了两种方法的优劣。在两种测量方法下,系统总的时间抖动分别约为42ps和31ps,计算后得到单光子探测器件的抖动约为25ps。发现放大器的性能对系统时间抖动影响明显。通过使用不同放大器比较分析了测量得到的时间抖动。     

Probabilistic model of nonlinear penalties due to collision-induced timing jitter for calculation of the bit error ratio in wavelength-division-multiplexed return-to-zero systems

We introduce a fully deterministic, computationally efficient method for characterizing the effect of nonlinearity in optical fiber transmission systems that utilize wavelength-division multiplexing and return-to-zero modulation. The method accurately accounts for bit-pattern-dependent nonlinear distortion due to collision-induced timing jitter and for amplifier noise. We apply this method to calculate the error probability as a function of channel spacing in a prototypical multichannel return-to-zero undersea system.     

Attosecond relative timing jitter and 13 fs tunable pulses from a two-branch Er:fiber laser

We present what is believed to be the first direct measurement of the relative timing jitter between the two parallel pulse trains of a two-branch femtosecond erbium-doped fiber laser, operated without active stabilization. The system provides independently tunable pulses in the near infrared with durations down to 13 fs. Using an interferometric optical cross-correlator, the phase-noise spectral density is measured with high sensitivity in a range from 1 Hz up to the Nyquist frequency of 24.5 MHz. We find an integrated jitter of 11 attoseconds directly after the amplifier stages and 43 as after propagation through free-space optics and nonlinear fibers for frequency conversion.     

Dependence of Gordon-Haus timing jitter on the ratio of the forward and backward pump powers

The Gordon-Haus timing jitter of optical pulses in dispersion-managed communication systems with distributed amplification is studied. The jitter penalty for equal forward and backward pump powers and a pump spacing of 100 km is almost 9 dB lower than the jitter penalty for lumped amplification and an amplifier spacing of 100 km.     

Dual-wavelength chirped-pulse amplification system

We demonstrate a chirped-pulse amplification system that simultaneously amplifies two pulses from a dual-wavelength oscillator in a single regenerative amplifier. The two wavelengths can be tuned from 800 to 890 nm. The total energy of 1.5 mJ can be variably split between the two pulses. The pulses are 150 fs in duration and have 60-fs timing jitter.     

Dispersion management for wavelength-division-multiplexed soliton transmission

Residual frequency shifts that are due to two-soliton collisions in stepwise exponentially dispersion-tapered fiber are calculated. Two-step dispersion profiles to minimize the frequency shifts and associated timing jitter are specifically identified. These profiles will improve the performance of wavelength-division-multiplexed soliton systems and permit operation with longer amplifier spans over an increased bandwidth.     

Fast f-to-2f interferometer for a direct measurement of the carrier-envelope phase drift of ultrashort amplified laser pulses

We propose a novel method to directly extract the phase from spectral interferograms, without the need for digital signal processing. This method is demonstrated with single-shot measurement and stabilization of the carrier-envelope phase of a 3 kHz amplifier system. Our scheme allows for real-time monitoring of the carrier-envelope drift and an increased loop width for stabilization. We find that in our amplifier laser system fast carrier-envelope phase jitter is mainly inherited from the oscillator stabilization loop but we also find previously unreported indications for a rapid pulse-to-pulse jitter from the amplifier pump laser.     

Mode locking of an erbium-doped fiber laser with intra-cavity polarization modulation

Erbium-doped fiber lasers are normally actively mode-locked through amplitude modulation or phase modulation. In this paper, we demonstrate that the laser can also be mode-locked by employing polarization modulation with a polarization-dependent cavity loss. We obtain a nearly transform-limited mode-locked pulse train at 10 GHz repetition rate with timing jitter as low as 164 fs. The timing jitter is only limited by the timing jitter of the driving signal.     

Sub-100-as timing jitter optical pulse trains from mode-locked Er-fiber lasers

We demonstrate sub-100-as timing jitter optical pulse trains generated from free-running, 77.6 MHz repetition-rate, mode-locked Er-fiber lasers. At -0.002(±0.001) ps2 net cavity dispersion, the rms timing jitter is 70 as (224 as) integrated from 10 kHz (1 kHz) to 38.8 MHz offset frequency, when measured by a 24 as resolution balanced optical cross correlator. To our knowledge, this result corresponds to the lowest rms timing jitter measured from any mode-locked fiber lasers so far. The measured result also agrees fairly well with the Namiki-Haus analytic model of quantum-limited timing jitter in stretched-pulse fiber lasers.     

Stable mode-locked fiber laser using 49 cm long bismuth oxide based erbium doped fiber and slow saturable absorber

A stable mode-locked fiber laser employing a 49 cm long bismuth oxide based erbium doped fiber (Bi-EDF) by using a slow saturable absorber is demonstrated. Near transform limited short pulses with a repetition rate of 8.27 MHz are obtained at a wavelength of 1560 nm with a maximum spectral width of 15 nm. Results indicate that pulse characteristics are strongly dependent on pump power rather than spectral width. Moreover the Time-Bandwidth products (TBWP), pulse duration, the energy fluctuation and timing jitter decrease with increasing pump power. The pulse width is continuously varied from 1.2 ps to less than 300 fs. It produces stable mode locking with a maximum spectral width of 15 nm, minimum timing jitter of 4 ps and energy fluctuations of 2.5%. The pulse train was amplified using a two-stage amplifier up to 447 mW average power corresponding to peak powers of 177.3 kW.     

Analysis of Gordon-Haus jitter in a dispersion-compensated optical transmission system

We theoretically analyzed the Gordon-Haus timing jitter in a periodically dispersion-compensated optical transmission system as a result of upgrading a preinstalled uniform-dispersion system. We show that the enhanced peak power for a large dispersion difference in the period reduces the frequency shift induced by noise, and a proper setting of the receiver position further reduces the timing jitter.     

光阴极注入器的驱动激光器

 光阴极注入器要求驱动激光器的激光时间抖动小、脉冲宽度窄、激光波长短和脉冲功率高。从原理和实验上介绍光阴极注入器的驱动激光器,包括连续波锁模振荡腔、时间同步,激光脉冲功率放大等;该激光器输出激光微脉冲宽度10ps,微脉冲时间抖动小于2ps,宏脉冲宽度2.5 μs, 峰值功率100kW, 已用于光阴极RF腔注入器实验,并获得了很好的结果。     

Effects of precompensation and postcompensation on timing jitter in dispersion-managed systems

We present an analytic theory of timing jitter in dispersion-managed light-wave systems that is based on the moment method and the assumption of a chirped Gaussian pulse. We apply the theory to a soliton system and show that 50% postcompensation of the accumulated dispersion can reduce the jitter by a factor of 2. We also apply the theory to a low-power light-wave system employing the return-to-zero format and find that timing jitter can be minimized along the fiber link for an optimal choice of precompensation and postcompensation.     

Soliton optical phase control by use of in-line filters

We address the problem of soliton phase jitter caused by fiber amplifier noise in a communication channel. An analytical expression for phase jitter is derived by use of perturbation theory. In the absence of filters the variance of the phase is found to be proportional to the cube of the propagation distance, but it increases only linearly if in-line filters are used. We verify with simulations that in-line filters maintain the phase jitter at a level that is tolerable for transoceanic links.     

基于阿秒抖动光纤锁模激光器的时钟同步

光纤锁模激光器结构简单, 运转稳定, 且输出的超短脉冲序列具有极高的时钟稳定性, 在抽运探测、脉冲相干合成等要求高精度时钟同步的前沿领域有着广阔的应用前景. 本文通过激光器腔内的电光调制器进行反馈控制, 实现了两台光纤锁模激光器之间的紧密时钟信号同步; 并且通过平衡光学互相关方法, 对残余的时钟误差信号进行了测量, 分辨率达到了13 as. 通过优化激光器的腔内动力学过程及反馈环路的参数, 在[1 Hz, 10 MHz]的积分区间内得到了109 as的残余时钟误差, 对应单台激光器的平均时间抖动为77 as.     

Relationship between Timing Jitter and Prism Separation in Mode-locked Solid State Lasers

The function expression of the group delay dispersion (GDD) depending on the prism separation and the normal displacement is derived, and that the GDD is proportional to the prism separation and near to a linear function of the normal displacement in the case of small normal displacement are found. Then we discuss the timing jitter caused by the amplified spontaneous emission (ASE) which depends on the prism separation and the normal displacement. We find that the timing jitter is near to a linear function of the prism separation and can be regrded as a linear function of the normal displacement in the case of small normal displacement. Based on the theoretic work, we suggest an experimental setup to measure the relationship between the timing jitter and the prism separation or the normal displacement.