Novel Analytic Theory for Laser Mode-Locking

The time-domain ABCD matrix formalism is based on the propagation of a Gaussian pulse which is characterized by the pulsewidth and chirp. In this paper, we will perfect this method and derive time-domain ABCD matrices for more optical devices. Especially, we extend this perfected theory to analyze the principle of passive mode-locking by reasonable approximation though, as we know, the output pulse generated from passive mode-locking fiber laser is of sech-shape. It is attractive because it can present a fairly apparent view to understand the mechanism of fiber lasers as well as analytic results to understand the pulse characteristics.     

ABCD矩阵方法在主动锁模光纤激光器理论与实验分析中的应用

应用ABCD矩阵方法从理论上对主动锁模环形光纤激光器进行了分析并与实验结果进行了比较.     

Compact and efficient Kerr-lens mode-locked diode-pumped actively Q-switched YVO4-Nd:YVO4 laser

By using a simple linear configuration, a stable and efficient YVO₄-Nd:YVO₄ laser, actively Q-switched by an acousto-optic modulator and passively mode-locked by KLM is realized, from which the great average output power, the high efficiency are obtained and the mode-locked pulse inside the Q-switched pulse has a repetition rate of 470 MHz. The nearly 100% modulation depth of the Q-switched mode-locked pulses can be obtained at any pump power over the threshold. Considering the Kerr-lens effect of laser medium and Q-switching by an acousto-optic modulator, we have analyzed the self-mode-locked YVO₄-Nd:YVO₄ laser by using the nonlinear ABCD propagation matrix and the hyperbolic fluctuation mechanism. The numerical solutions are in good agreement with the experimental results.     

8字形主被动锁模掺Er3+光纤激光器

在理论上分析了利用非线性光学环形镜作为等效可饱和吸收体压缩脉冲进行锁模的物理机制。利用8字形主被动混合锁模的结构在调制频率2．498749GHz下，在1．543μm处获得了12ps的锁模脉冲输出，对应谱宽0．22nm，时间脉宽积0．33。在抽运功率50mW情况下，输出脉冲平均功率3．715mW。在调制频率2．499344GHz、2．499114GHz和2．498999GHz时分别并获得了2～4阶幅度较为均衡的有理数谐波锁模脉冲序列。     

SOA-based actively mode-locked fiber ring laser by forward injecting an external pulse train

An actively mode-locked fiber ring laser based on cross-gain modulation (XGM) in a semiconductor optical amplifier (SOA) is demonstrated to operate stably with a simple configuration. By forward injecting an easily-generated external pulse train, the mode-locked fiber laser can generate an optical-pulse sequence with pulsewidth about 6 ps and average output power about 7.9 mW. The output pulses show an ultra-low RMS jitter about 70.7 fs measured by a RF spectrum analyzer. The use of the proposed forward-injection configuration can realize the repetition-rate tunability from 1 to 15 GHz for the generated optical-pulse sequences. By employing a wavelength-tunable optical band-pass filter in the laser cavity, the operation wavelength of the designed SOA-based actively mode-locked fiber laser can be tuned continuously in a wide span between 1528 and 1565 nm. The parameters of external-injection optical pulses are studied experimentally to optimize the mode-locked fiber laser.     

Harmonic mode locking by synchronous optical pumping of a saturable absorber with the residual pump

An actively mode-locked fiber laser is demonstrated, for the first time to our knowledge, by modulation of a saturable-absorber mirror with the light used simultaneously for pumping the gain fiber. Stabilization of a harmonically passive mode-locked fiber laser that generates soliton pulses of 550-fs duration is obtained with this technique. The results indicate a reduction of supermode suppression by more than 55 dB. The timing jitter is improved by 9 dB.     

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.     

High-power 880-nm diode-directly-pumped passively mode-locked Nd:YVO₄ laser at 1342 nm with a semiconductor saturable absorber mirror

A high-power 880-nm diode-directly-pumped passively mode-locked 1342 nm Nd:YVO? laser was demonstrated with a semiconductor saturable absorber mirror (SESAM). The laser mode radii in the laser crystal and on the SESAM were optimized carefully using the ABCD matrix formalism. An average output power of 2.3 W was obtained with a repetition rate of 76 MHz and a pulse width of 29.2 ps under an absorbed pump power of 12.1 W, corresponding to an optical-optical efficiency of 19.0% and a slope efficiency of 23.9%, respectively.     

基于单端半导体光放大器的可调谐超短光脉冲源理论与实验研究

超短光脉冲源是光时分复用(OTDM)系统中的关键器件.提出了一种基于单端半导体光放大器(SOA)的注入型主动锁模光纤激光器产生超短光脉冲的方案，建立了该方案的理论模型.实验实现了高消光比稳定的重复频率10—40GHz皮秒级光脉冲的输出，输出波长在30nm范围内连续可调. 关键词： 超短光脉冲 单端半导体光放大器 主动锁模     

An Experimental Study on the Output Properties of an Actively Mode-locked Er~(3 ) Doped Fiber Ring Laser

ＡｎＥｘｐｅｒｉｍｅｎｔａｌＳｔｕｄｙｏｎｔｈｅＯｕｔｐｕｔＰｒｏｐｅｒｔｉｅｓｏｆａｎＡｃｔｉｖｅｌｙＭｏｄｅ┐ｌｏｃｋｅｄＥｒ３＋ＤｏｐｅｄＦｉｂｅｒＲｉｎｇＬａｓｅｒＬＩＵＪｕｎＬＯＵＣａｉｙｕＺＨＯＮＧＳｈａｎＧＡＯＹｉｚｈｉ（Ｄｅｐａｒｔｍ...     

Laser diode to monomode elliptic core fiber excitation via hemispherical lens on the fiber tip: Efficiency computation by ABCD matrix with consideration for allowable aperture

Employing Gaussian field distributions for both the source and the fiber, we report a simple theoretical prediction of the coupling efficiency of a laser diode to a single-mode elliptic core fiber via hemispherical lens on the fiber tip. The analysis is based on ABCD matrix for hemispherical lens under paraxial approximation. Our formalism takes care of the allowable aperture of the hemispherical lens. The present analysis prescribes analytical expressions for the coupling efficiency and the concerned calculations are executable by pocket calculator.     

20-GHz broadly tunable and stable mode-locked semiconductor amplifier fiber ring laser

We present an actively mode-locked fiber ring laser that uses a single active semiconductor optical amplifier device to provide both gain and gain modulation from an external optical pulse train. The laser source generated 4.3-ps pulses at 20 GHz over a 16-nm tuning range and is stable against environmental changes and simple to build.     

Design optimization of all-optical actively mode-locked ring laser based on cross-gain modulation in a semiconductor optical amplifier

A complete and detailed model is presented that describes the main physical phenomena that occur in an actively mode-locked fiber ring laser based on cross-gain modulation in a semiconductor optical amplifier employed as both the gain medium and mode-locking element. The relationship between key laser parameters and the output pulse characteristics is numerically analyzed to provide simple design rules and derive a set of necessary operational conditions. The adoption of these rules and the satisfaction of these conditions enables the optimization of the laser performance and the generation of short and high energy mode-locked output pulses.     

Generation of 10-GHz ultra-short pulses with low time jitter in an actively mode-locked fiber laser

We have experimentally achieved the 8.3-ps ultra-short pulse at 10 GHz repetition rate with the time jitter as low as 590 fs in an actively mode-locked fiber ring laser. The ring-cavity laser is mode-locked by a semiconductor optical amplifier based on cross-gain modulation. The external CW source is modulated with radio frequency signal by an amplitude modulator as the external optical pulses and, then, injected into the fiber ring cavity to achieve active mode locking. Further investigating the laser output characteristics, it indicates that the linewidth of employed CW source affects properties of the generated ultra-short pulse, such as phase noise and time jitter. Ultra-short pulse at high repetition rate with low time jitter can be generated by the optimization of CW laser source.     

Experimental study of an all-fiber laser actively mode-locked by standing-wave acousto-optic modulation

We report an experimental study of an actively mode-locked erbium-doped all-fiber laser, based on a standing-wave acoustically-induced superlattice modulation. Our experiments involve the characterization of the laser as a function of the active fiber length, and with different types of delay line fibers. The effect of the modulation on the laser performance was also investigated. Narrower pulses were obtained at higher modulation depths, normal dispersion, and shorter lengths of active fiber. Optical pulses of 160 mW peak power and 630 ps temporal width were obtained at 9 MHz repetition rate.     

利用锁模光纤激光器在色散位移光纤中产生超连续谱的研究

采用主动锁模光纤激光器输出的重复频率10GHz、脉宽7．97ps的脉冲作为抽运光源,无需压缩后直接抽运4．2km的普通色散位移光纤(DSF)．利用色散位移光纤中自相位调制、交叉相位调制等非线性效应的联合作用,获得了20dB带宽达125nm、覆盖整个C波段、L波段和部分S波段的超连续(SC)谱。实验研究了抽运光脉冲峰值功率和抽运波长对超连续谱宽度的影响,结果表明抽运光脉冲峰值功率越高,得到的超连续谱的带宽越宽;通过对抽运波长的优化,可以实现最大程度的超连续展宽;分析了滤波器带宽对脉冲质量的影响;利用0．4nm带宽的可调谐滤波器对从超连续谱中滤出脉冲的特性进行了研究,在超连续谱的不同波长处获得了脉宽为8．90～9．80ps、时间一带宽积为0．44～0．49的稳定的窄光脉冲。     

Generation of bound solitons in actively phase modulation mode-locked fiber ring resonators

Bound solitons generated in actively mode-locked lasers enable new forms of pulse pairs and multiple pairs or groups of solitons in optical transmission or logics. In this paper, we present the generation of stable bound states of multiple solitons in an active mode-locked fiber laser using continuous phase modulation for wideband phase matching. Not only that dual-soliton bound states but also the triple- and quadruple-soliton pulses can be established. Simulation of the generated solitons are demonstrated. We have also prove by simulation that experimental relative phase difference and chirping caused by phase modulation of LiNbO₃ modulator in the fiber loop significantly influences the interaction between the solitons and hence their stability as they circulate in the anomalous path-averaged dispersion fiber loop.     

Rational harmonic figure-eight actively-passively mode-locked erbium-doped fiber laser

The nonlinear optical loop mirror (NOLM) is used as a saturable absorbed to reshape pulses. Experimentally, an actively mode-locked erbium-doped fiber ring laser with figure-eight structure is set up. 2 - 4 order harmonic pulse train with stable amplitude has been obtained when the RF modulation frequency is about 2.5 GHz.     

Timing restoration dynamics in an actively mode-locked fiber ring laser

Using electronic phase detection, we study the dynamics that govern pulse retiming in an actively mode-locked fiber laser. We compare the dynamics for amplitude and for phase modulation and identify the characteristic time constants for each case. The retiming dynamics for amplitude modulation are revealed as a first-order exponential decay, whereas for phase modulation the dynamics are those of a damped harmonic oscillator. We show that the measured time constants agree with predictions given by the soliton perturbation theory.     

主动锁模光纤激光器的孤子理论分析

系统考虑了光纤激光器腔构参数与锁模脉冲参数的制约关系,建立了完整形式的振幅调制主动锁模光纤激光器的稳态方程;据此方程分析了主动锁模光纤激光器腔参数对锁模孤子脉冲参数的影响;分析了无啁啾孤子脉冲形成条件。