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

1　Ｉｎｔｒｏｄｕｃｔｉｏｎ　　Ｔｈｅｊｉｔｔｅｒｉｓｃａｕｓｅｄｆｒｏｍｓｅｖｅｒａｌｓｏｕｒｃｅｓ :ｔｈｅｉｎｓｔａｂｉｌｉｔｙｏｆｔｈｅｃａｖｉｔｙｌｅｎｇｔｈｃａｕｓｅｄｂｙｔｈｅｔｈｅｒｍａｌｅｘｐａｎｓｉｏｎｏｆｔｈｅｂａｓｅｐｌａｔｅ ,ｔｈｅｄｉｓｐｌａｃｅｍｅｎｔｏｆｔｈｅｃｏｍｐｏｎｅｎｔｓｂｙｍｅｃｈａｎｉｃａｌｖｉｂｒａｔｉｏｎｓ ,ｔｈｅｆｌｕｃｔｕａｔｉｏｎｏｆｔｈｅｇａｉｎｍｅｄｉｕｍｂｙｔｈｅｎｏｉｓｅｏｆｔｈｅ ｐｕｍｐｉｎｇｓｏｕｒｃｅ ,ｔｈｅａｍｐｌｉｆｉｅｄｓｐ…     

飞秒锁模固态激光器中放大的自发辐射导致的时基抖动

基于飞秒锁模固态激光系统,推导了激光脉冲的振幅、脉宽的倒数、啁啾、频率、中心位置和位相的运动方程.在低的白噪声的假设下,估算了含啁啾的钛宝石激光器中由放大的自发辐射引起的时基抖动.结果表明:对于一台脉冲轮廓为sech²(1763t/τ)的确定的锁模固态激光系统,时基抖动近似为净群速延迟色散(GDD)的线性函数,且随着GDD的增加而变大;然而,即便在GDD被完全补偿的情况下,时基抖动也不会是零 关键词： 时基抖时 放大的自发辐射 飞秒锁模固态激光系统     

A displacement measurement system, utilizing a Wollaston interferometer

A dual interferometric displacement measurement system is presented where a Wollaston prism interferometer is employed in conjunction with a normal Michelson interferometer. The system operates without the use of external polarizers, apart from those associated with the Wollaston prism interferometer itself. It is shown that an optical path difference induced in the Michelson interferometer can be detected using the Wollaston prism in a normal interferometer arrangement. Further, the interference pattern produced by the Wollaston prism interferometer changes in a measurable, linear fashion as the optical path difference from the Michelson interferometer alters. A simple theoretical analysis of the system is presented and used to derive a computer model of the optical arrangement. Results from an experimental implementation of the system, using a Wollaston prism with a beam separation of 0.5 degrees and a superluminescent diode, of wavelength 825 nm, as a light source, are included and compared to the results from the computer model.     

激光溅射法在射频离子阱中产生和囚禁低能多电荷离子

Timing jitter performance in binary optical preamplifier direct detection system is investigated through both the analytical method and computer simulation method. The presented analytical method is based on the moment generating function (MGF) and has taken into account the influence of optical filter on the optical pulse shape. It can be used to optimize the timing jitter performance for linear clock extraction scheme for any type of optical filter and narrow bandpass electrical filter. The presented computer simulation method is capable of dealing with any nonlinear clock extraction scheme and also the impact of laser phase noise on timing jitter performance.     

Jitter Characterization in Optical Preamplifier Direct Detection System

１ＩｎｔｒｏｄｕｃｔｉｏｎＷｉｔｈｔｈｅｒｅｃｅｎｔａｄｖｅｎｔａｎｄｕｔｉｌｉｚａｔｉｏｎｏｆｖｅｒｙｈｉｇｈｂｉｔｒａｔｅｓｙｓｔｅｍｓｕｓｉｎｇｌａｒｇｅｄｉｓｔａｎｃｅｓｂｅｔｗｅｅｎｒｅｐｅａｔｅｒｓａｎｄｓｉｎｇｌｅｍｏｄｅｏｐｔｉｃａ...     

Calculation, characterization, and application of the time shift function in wavelength-division-multiplexed return-to-zero systems

We calculate the time shift function for collisions of pairs of pulses in different channels in a prototypical return-to-zero wavelength-division-multiplexed system with dispersion management and precompensation and postcompensation. Once the time shift function is known, the impairments that are due to collision-induced timing jitter can be rapidly determined. We characterize the shape of this function and determine how it scales with the initial pulse separation in time and with channel separation in wavelength. Finally, we apply it to the calculation of the worst-case time shift.     

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。     

Measurement of residual phase noise and longitudinal-mode linewidth in a hybridly mode-locked external linear cavity semiconductor laser

We report measurements of the residual phase-noise knee position and longitudinal-mode linewidth of a hybridly mode-locked external linear cavity semiconductor laser as a function of laser cavity length. Excellent agreement between these measurements suggests a direct relationship between rms pulse-to-pulse timing jitter and average longitudinal-mode linewidth. This relationship leads to a fundamental limit in the timing jitter of mode-locked lasers.     

Timing jitter of solitons compressed in dispersion-decreasing fibers

It is shown that timing jitter owing to the Gordon-Haus (G-H) effect of solitons that are compressed adiabatically in dispersion-decreasing fibers (DDF's) is approximately determined by total dispersion and initial conditions, which are independent of compression dynamics. As a result the established theory for G-H jitter is still applicable. Timing jitter near the levels predicted by theory is observed in pulses from a regeneratively mode-locked fiber laser compressed in a DDF.     

All-Fiber Self-Injection Seeding for Optical Timing Jitter Reduction in a Chirp Compensated Gain-Switched DFB Laser

We demonstrate an original all-fiber self-injection seeding technique based on a noninterferometric reflector for the optical timing jitter reduction in a chirp compen sated gain-switched Distributed FeedBack (DFB) laser. Two experiments, at 2.5 and 5 GHz, show standard deviations of the optical timing jitter of 0.28 ps and a reduction factor of 17 in the best case. The self-injection seeding sensitivity to polarization effects and to modulating frequency changes was measured in terms of standard deviation. A final experiment at 10 GHz, with no external feedback, shows an optical timing jitter down to 0.4 ps due to a time dynamics of spontaneous emission fluctuations slower than the pulse period.     

Pile-up correction in characterizing single-photon avalanche diodes of high dark count rate

Although as a single-photon detector, the single-photon avalanche diode (SPAD) may be applied to multi-photon conditions. At a minimum, SPADs with a high dark count rate (DCR) demand a higher value of photon number per pulse to improve the signal-to-noise ratio. In this case, and without correction, severe pile-up distortion may induce a system error in the measurement of photon detection efficiency (PDE) and timing jitter. In this paper, we study the pile-up distortion in SPAD characterization by numerical simulation and experimentation, and introduce a pile-up correction method for the precise characterization of PDE and timing jitter in immature SPADs with an unintentionally high DCR. The results of this study are useful in the development of future SPADs.     

Timing jitter induced by intrachannel interactions in optical fiber communication systems using CFG as dispersion compensator

In this paper, a theoretical model is proposed for the analysis of timing jitter induced by intrachannel interactions in optical fiber communication systems using chirped fiber grating (CFG) as dispersion compensator. And for the first time, the impact of group-delay ripple (GDR) on timing jitter is taken into account in detail, theoretically and numerically. Results show that the GDR may increase or decrease the timing jitter of certain pair of adjacent pulses, deciding by the ripple parameters. The maximum influence will be obtained when ripple period is about 2/5 of the input pulse width. In practical systems, the GDR enhance the timing jitter for some adjacent pulses while reduce it for some other adjacent pulses, depending on the pulse pattern and the GDR parameters. In our simulation, the GDR guarantees a 3.04 ps increase of the standard deviation of the timing jitter.     

Nearly quantum-noise-limited timing jitter from miniature Er:Yb:glass lasers

We report on nearly quantum-limited timing-jitter performance of two passively mode-locked Er:Yb:glass lasers with a repetition rate of 10 GHz. The relative timing jitter of both lasers was measured to be 190 fs (100 Hz-1.56 MHz) root mean square. The remaining cavity-length fluctuations are below 7.5 pm in the 6 Hz-8 kHz frequency range, indicating the stability of a rugged miniature cavity setup. By actively controlling the cavity length we reduced the timing jitter to 26 fs (6 Hz-1.56 MHz). We also discuss the influence of cavity length on the practically achievable timing jitter.     

Effect of copropagating and counterpropagating directions on a semiconductor optical amplifier-Mach-Zehnder interferometer based wavelength converter using a continuous-wave assist light

We experimentally investigate and compare the effects of copropagating and counterpropagating directions on a semiconductor optical amplifier-Mach-Zehnder interferometer based wavelength converter. When an assist light is not used, the copropagating scheme induces a long rise-fall time and small timing jitter, whereas the counterpropagating scheme induces a short rise-fall time and large timing jitter. The results show that the copropagating scheme with a backward assist light yields the best performance.     

Dispersion Compensation in Optical Coherence Tomography with a Prism in a Rapid-Scanning Optical Delay Line

We demonstrate the theoretical and experimental results of using a single prism in the rapid-scanning optical delay line of an optical coherence tomography (OCT) system for compensating the mismatches of the first- and second-order group delay dispersion (GDD) between the reference and sample arms. The analytical expressions for the first- and second-order GDD are derived based on the typically designed system configuration. Numerical results in varying various parameters are shown. An optimized set of parameters for efficient dispersion compensation in a practical fiber-based OCT system is obtained. The numerical result of the dispersion compensation is demonstrated. Also, the experimental implementation of such a dispersion compensation method is illustrated with the conditions similar to the numerical calculations. The compensation result is quite satisfactory     

Timing jitter dependence on data format for ideal dispersion compensated 10 Gbps optical communication systems

Simulations for data formats Return to Zero (RZ), Non-Return to Zero (NRZ), RZ-Soliton, Duobinary and their subcategories have been done with and without ideal dispersion compensation for optical communication systems. The results show that, in general, dispersion compensation improves timing jitter. RZ-Rectangular pulses show the smallest value of jitter without compensation. It has been observed that the RZ-Raised Cosine, and Soliton, give minimum jitter after ideal compensation. It has been reported that the BER performance of optical communication system using Duobinary data format is 10⁻⁸ and 10⁻³⁷ before and after dispersion compensation, respectively. Further the comparative study shows that the timing jitter is the lowest in case of RZ-Soliton (0.0127 ns) after dispersion compensation and 0.0135 ns for RZ-Rectangular data format before dispersion compensation.     

Gordon Haus effect in dispersion-managed soliton systems

We derive an expression for the timing jitter of a soliton owing to amplifier noise in dispersion-managed fiber systems. We show that the timing jitter is a function of the pulse width as well as of the chirp at the amplifier location and that it can be minimized by a proper choice of the amplifier position relative to the dispersion map.     

Influence of group-delay ripple on timing jitter induced by SPM and IXPM in systems with dispersion compensated by CFBG

An analytical expression was proposed to analyze the influence of group-delay ripple (GDR) on timing jitter induced by self-phase modulation (SPM) and intra-channel cross-phase modulation (IXPM) in pseudolinear transmission systems when dispersion was compensated by chirped fiber Bragg grating (CFBG).Effects of ripple amplitude, period, and phase on timing jitter were discussed by theoretical and numerical analysis in detail. The results show that the influence of GDR on timing jitter changes linearly with the amplitude of GDR and whether it decreases or increases the timing jitter relies on the ripple period and ripple phase. Timing jitter induced by SPM and IXPM could be suppressed totally by adjusting the relative phase between the center frequency of the pulse and the ripples.     

声光偏转器扫描飞秒激光的时间色散补偿

研究了声光偏转器(AOD)扫描飞秒激光的时间色散效应及补偿方案.在800nm波长处，单个AOD引入的群延时色散(GDD)可达～9300fs².在深入分析AOD和棱镜角色散原理的基础上，提出了用色散棱镜预补偿AOD对飞秒脉冲的时间色散，并进行了实验证实.在AOD中心频率处(70MHz)，将398fs的脉冲压缩到122fs，且整个带宽范围内(50MHz—90MHz)脉宽变化范围为120fs—180fs.这表明该方案用于AOD扫描飞秒激光时进行时间色散补偿是非常有效的. 关键词： 飞秒激光 声光偏转器 时间色散 脉冲压缩     

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.