掺铒光纤中浓度效应对光脉冲群速的影响

利用相干布居振荡技术在介质吸收光谱上产生烧孔,孔宽大约为基态粒子数恢复时间的倒数.由增益理论分析得出不同抽运光强度对介质吸收状态的影响.在介质的吸收区域,振荡导致光脉冲经历饱和吸收,脉冲传输延迟;在介质的增益区域,振荡又导致光脉冲经历增益饱和、脉冲传输超前.将此技术应用在掺铒光纤(EDOF)中实现了光速人为可控.根据布居振荡效应及增益理论,由速率方程出发,得到了探测光的群折射率的理论解析表达式.考虑掺铒浓度对光脉冲群速度的影响,分别对四种浓度的光纤进行实验研究,观测到的最慢群速分别为3.45×102m/s,相应感生群折射率8.7×105.     

Spatio-temporal dynamics of light amplification and amplifiedspontaneous emission in high-power tapered semiconductor laseramplifiers

We investigate the spatio-temporal light field dynamics in high-power semiconductor lasers with continuous-wave optical injection. The amplification processes that characterize this system occur during the propagation of the injected signal within the active area and can be attributed to spatially dependent gain and refractive index variations. Those are shown to be determined by dynamic interactions between the light fields and the active charge-carrier plasma. This microscopic light-matter-coupling is described by a spatially resolved microscopic theory based on Maxwell-Bloch-Langevin equations taking into account many-body interactions, energy transfer between the carrier and phonon system and, in particular, the spatio-temporal interplay of stimulated and amplified spontaneous emission and noise. Results of our numerical modeling visualize the dynamic spatio-spectral beam shaping experienced by the propagating light in amplifiers of tapered geometry. This reveals the microscopic physical processes that are responsible for the particular amplitude and spatial shape of the light beam at the output facet     

Ultrafast gain dynamics in asymmetrical multiple quantum-well semiconductor optical amplifiers

A numerical model for the investigation of the ultrafast gain properties in asymmetrical multiple quantum-well semiconductor optical amplifiers has been developed considering propagation of ultrashort optical pulses with different wavelengths. The dynamics of the number of carriers and carrier temperature are investigated for each quantum well. The results agree with the experimental results of pump probe measurements with different wavelengths. It is shown that gain recovery is slower for higher energy wells for pump signals of all wavelengths.     

Analytical Characterization of Optical Pulse Propagation in Polarization-Sensitive Semiconductor Optical Amplifiers

In this paper, we perform analytical characterization of optical pulses propagating through a polarization-sensitive semiconductor optical amplifier (SOA). We derive analytical expressions for the carrier density, gain and phase evolution along the SOA and show how these expressions prove useful in optical signal processing applications. The propagation of counter-propagating pulses as well as pulse streams across SOAs have been analysed and expressions for energy gain have been derived in all these cases. We also show that our analytical results reduce to corresponding results of polarization insensitive SOAs already published. The analytical results are in excellent agreement with detailed numerical simulations done in MATLAB using the NIMROD portal. The analytical calculations lead to significant savings with regard to simulation time and processing capacity requirements. We further prove that the energy gain difference for counter-propagating pulse streams is directly proportional to the difference delay between in them and hence can be used as a measure of the delay difference. This theoretical result agrees well with experimental results.     

Analysis of optical DEMUX characteristics based on four-wave mixingin semiconductor optical amplifiers

We have analyzed the basic characteristics of all-optical demultiplexing (DEMUX) based on four-wave mixing (FWM) in semiconductor optical amplifiers (SOAs) by solving a modified nonlinear Schrodinger equation by the finite-difference beam propagation method. Amplified spontaneous emission noise was not included in our model. The optimum pump pulsewidth for obtaining the high ON-OFF ratio is 1~3 ps for 1 ps, 250 Gb/s probe pulses. The shorter limit of the pulsewidth is due to detuning between the pump and probe frequencies, which is determined by the gain bandwidth of the SOA. In order to achieve faster DEMUX operation, an SOA with broader gain bandwidth is required. We also simulated pattern effects in the FWM signal. Power fluctuation in the FWM signal can be reduced by using a strong energy pump pulse and/or weak energy probe pulse. The energy fluctuation of the FWM signal decreases to less than 1% for a 30-bit, 250-Gb/s input probe pulse train with a pulse energy of 0.01 pJ. This small fluctuation should not disturb DEMUX operation. We have also examined DEMUX from time multiplexed signals by repetitive pump pulses. Strong energy pump pulses decrease the FWM signal intensity. However, there is no pattern effect due to gain saturation because the pump pulses are injected continuously     

Compression dynamics of forward and backward gaussian pulses in a cascaded optical guide

The dynamics of a Gaussian pulse propagating in the forward or backward direction in a linear cascaded optical guide consisting of a sequence of active (with amplification) and passive elements whose dispersion parameters are assumed to be known is studied. Conditions for pulse compression in a cascaded guide are analyzed. The influence of the accompanying effect of the carrier-frequency shift on this process and the possibility of propagation of the maximum of the wave-packet envelope at a speed higher than the velocity of light in vacuum is considered.     

Complex finite-element method applied to the analysis of opticalwaveguide amplifiers

A complex finite-element method and a three-level model for erbium ions are applied to obtain gain and propagation constants for erbium-doped waveguide amplifiers (EDWA's). The complex refractive index profile includes the effect of the dopant polarization induced by the pump field. The method allows to consider arbitrary dopant density profile as well as the modal structure of the pump field. For different waveguide geometries we obtain gain curves as function of pump intensity as well as slight variations in the modal propagation constants. The threshold pump power is shown to be a function of the waveguide geometry, which agrees qualitatively with experimental results,     

双包层Er3 + /Yb3 + 共掺光纤放大器动态特性研究

基于速率方程的离散算法，实现了对双包层Er^3＋／Yb^3＋光纤放大器动态特性的分析。研究了不同信号和泵浦功率下单信道的瞬态功率、脉冲序列输出功率与增益随时间的变化以及多信道异步转移模式下输出功率和增益随时间的变化。结果表明：对于单个脉冲，在相同的泵浦功率下，输出脉冲的峰值功率取决于输入脉冲的峰值功率；在不同的泵浦功率下，输出脉冲的峰值功率取决于泵浦功率。对于脉冲序列，在达到稳定的输出前，将经历一个输出功率和增益由高到低的变化过程。对于异步转移模式的多信道脉冲，脉冲重叠时的功率和增益变化要快于非重叠时功率和增益的变化。     

基于缓变上升沿泵浦光的布里渊慢光研究

为了增加布里渊慢光的时间延迟,减小脉冲展宽,利用迎风格式的有限差分法对光纤中受激布里渊散射耦合方程组进行数值求解,分析了具有缓慢变化上升沿的连续光作为泵浦光时,光纤输出端斯托克斯光的时间延迟和脉冲展宽因子随增益的变化情况。数值结果表明:具有缓慢变化上升沿的泵浦光可使高斯长脉冲FWHM(半宽全高)为120ns的时间延迟增加到52ns,高斯短脉冲(FWHM为20ns)的时间延迟增加到64ns,同时可减小高斯长短脉冲的展宽。     

自陡峭效应对相位共轭系统脉冲传输的影响

光学相位共轭(OPC)技术能够同时且高效地补偿光纤传输过程中色散及非线性效应所导致的信号失真，且该技术同脉冲调制方式无关。从理论上分析了在自陡峭效应(SS)作用下高斯脉冲信号在中距相位共轭系统中的传输演化特性，数值模拟了在其作用下超短飞秒高斯脉冲的动态传输过程，讨论了自陡峭效应对中距相位共轭系统复原性能的影响。结果表明自陡峭效应将导致高斯脉冲信号发生峰值漂移和脉冲后沿变陡，相位共轭系统不能补偿由此导致的脉冲失真和畸变。引入合适的色散可以减小这种信号失真，并使得相位共轭系统能够同时补偿由于色散、自相位调制和自陡峭效应而引起的信号失真。     

Third-Order Dispersion and Ultrafast-Pulse Propagation in Silicon Wire Waveguides

The dynamics of femtosecond (fs) pulse propagation in dispersion engineered silicon-on-insulator (SOI) photonic wires is investigated numerically. For fs pulses propagating in millimeter-long SOI waveguides, the interplay between nonlinear effects, group velocity dispersion (GVD), and the third-order dispersion (TOD) results in significant pulse reshaping. At the zero-GVD (ZGVD) wavelength, TOD causes strong pulse-shape asymmetry in both the temporal and spectral domains. In addition, in the anomalous GVD region near the ZGVD wavelength, soliton-like pulse dynamics is observed     

Ultrashort-Pulse High-Power Yb3+-Doped Fiber Amplifiers

Ultrashort optical pulse propagation in high-power Yb³⁺-doped fiber amplifiers (YDFA) is studied using a spectrally resolved nonlinear power equation for the coupled pulse components. The Yb³⁺ ions transitions are modeled using a rate equation. Examples for high-power YDFAs with normal dispersion show good qualitative agreement with experimental results. We analyze the effects of the incident pulse wavelength, pulse peak power, Yb³⁺ concentration, pump filling factor, fiber length, pumping configuration, pump power and nonlinear index, on the intensity distribution of short amplified pulses. We also demonstrate the spectral compression of an initially negative-chirped pulse.     

双包层Er3 + /Yb3 + 共掺光纤放大器动态特性研究

基于速率方程的离散算法,实现了对双包层Er3 + /Yb3 +光纤放大器动态特性的分析。研究了不同信号和泵浦功率下单信道的瞬态功率、脉冲序列输出功率与增益随时间的变化以及多信道异步转移模式下输出功率和增益随时间的变化。结果表明:对于单个脉冲,在相同的泵浦功率下,输出脉冲的峰值功率取决于输入脉冲的峰值功率;在不同的泵浦功率下,输出脉冲的峰值功率取决于泵浦功率。对于脉冲序列,在达到稳定的输出前,将经历一个输出功率和增益由高到低的变化过程。对于异步转移模式的多信道脉冲,脉冲重叠时的功率和增益变化要快于非重叠时功率和增益的变化。     

Theoretical and experimental study of optical gain, refractive index change, and linewidth enhancement factor of p-doped quantum-dot lasers

A theoretical and experimental study of the optical gain, refractive index change, and linewidth enhancement factor (LEF) of a p-doped quantum-dot (QD) laser is reported. These parameters are measured by injecting an external pump, which induces cross-gain and cross-phase modulation. A comprehensive theoretical model for the optical gain and refractive index change of InAs QD lasers is introduced with the quasi-equilibrium approximation of carrier distribution. We use the Gaussian lineshape function for gain change and the confluent hypergeometric function of the first kind for refractive index change, which satisfies the Kramers-Kronig relation. We match the experimental data with the theoretical results when the thermal effect is isolated by an additional pulsed current measurement. We also calculate theoretically the optical gain, refractive index change, and LEF of an undoped QD laser of the same structure except the absence of p-type doping. We show that the differential gain and LEF of the p-doped QD laser are improved compared with those of the undoped QD laser due to the reduced transparency carrier density.     

飞秒激光脉冲序列互相关的数值模型与分析

为研究飞秒激光超短脉冲序列在空气中传输的时间相干特性,根据飞秒脉冲序列的传播理论和空气折射率Ciddor公式,建立了飞秒激光脉冲序列间脉冲在空气中传播的互相关数值模型。根据该模型可以得到不同光谱分布、不同光程差和不同大气条件下的飞秒脉冲序列间脉冲的互相关图形。数值模拟结果表明随着脉冲间光程差的增大,由于色散的原因,互相关图形加宽和啁啾,并且峰能量减小;然而当光程差不变,仅改变大气条件时,互相关图形仅仅作线性移动,没有任何额外线性加宽或啁啾。飞秒光学频率梳具有非常高的时间相干性,并且飞秒脉冲间的互相关图形只取决于激光器光源的光谱分布。     

基于循环神经网络的超短脉冲光纤放大器模型（特邀）

针对超短脉冲光纤放大器模型复杂,计算难度大等问题,提出了一种基于门控循环单元深度学习的脉冲演化预测方法。利用初始脉冲时域和频域信息,分别训练门控循环单元模型,成功地预测了掺铥光纤放大器中脉冲非线性压缩的过程,与数值计算和实验结果匹配。相比于求解非线性薛定谔方程和能级速率方程两个偏微分方程的方法具有更高的运算速度,有利于优化放大器参数,理解超短脉冲在增益光纤中的非线性动力学过程。     

Pulse Propagation Along Transmission Lines in the Presence of Corona and Their Implication to Lightning Return Strokes

Transmission line equations in air in the presence of corona are derived. The analysis shows that the corona caused by a voltage or a current pulse propagating along a transmission line can be represented by a series of corona current sources distributed along the line. Corona has two effects on the voltage or current pulses propagating along a transmission line. First, it will clamp down the pulse amplitude at the front of the pulse to the corona threshold. Second, it will cause the portion of the pulse whose amplitude is larger than the corona threshold to travel with a speed less than the speed of light. The effects of corona on the voltage or current pulses propagating along a transmission line can also be evaluated by introducing a time varying capacitance and a conductance into the transmission line. If the time varying capacitance is assumed to be proportional to the ratio between the corona charge and the applied voltage then one requires both this and the time varying conductance to represent the corona effects more accurately. Analysis of the return stroke as a current pulse propagating along a transmission line undergoing corona shows that the corona effects may explain the reason why the measured return stroke speeds are considerably less than the speed of light. Moreover, based on the effects of corona, a physical justification for the concepts used in the current generation type return stroke models is provided.      

飞秒强激光的拉曼延迟克尔非线性效应研究

飞秒强脉冲激光具有高功率、窄脉宽和宽光谱等特点,其在大气传输过程中涉及很多线性和非线性的物理机制,高阶效应对传输将产生一系列重要的影响.采用数值方法求解包含拉曼延迟响应的非线性传输方程,研究了与拉曼延迟响应时间相当的、具有几十飞秒脉宽的飞秒强激光大气传输中拉曼延迟克尔非线性效应引起的非线性折射率变化、自聚焦和光谱展宽特...     

Numerical study of gain equalization in burst-mode Yb3+-doped fiber amplifier with pulse pump by FDTD method

The amplifying dynamics of the pulse burst in Yb3+-doped fiber amplifier (YDFA) with high-power pulse pump is numerically analyzed by a finite-difference time-domain (FDTD) method. The numerical simulations show that the amplitude uniformity of the amplified pulse burst can be modified by adjusting the parameters of pump, such as relative delay and power. Though optimizing the pump parameters, we can reduce the gain difference between the pulses in a burst and improve the efficiency of coherent pulse stacking based on Gires-Tournois interferometers (GTIs). These results can be applied to the design of high energy ultra-short pulse amplifiers based on burst-mode amplification and coherent pulse stacking technology.     

Effective Bloch equations for semiconductor lasers and amplifiers

A set of effective Bloch equations is established for semiconductor bulk or quantum-well media. The model includes the nonlinear carrier-density dependence of the gain and refractive index and their respective dispersions (frequency dependences). A comparative study is performed between the full microscopic semiconductor Bloch equations and this effective model for pulse propagation to show the range of validity of the present model. The results show that this model agrees well with the microscopic model provided carrier depletion is the dominant saturation mechanism relative to the plasma heating. The effective Bloch equations provide an accurate and practical model for modeling amplifiers with pulses of duration greater than a few picoseconds. By capturing the large bandwidth and the carrier density dependence of the gain, it also provides a reliable model for studying the complex spatiotemporal multilongitudinal and transverse mode dynamics of a variety of wide-aperture high-power semiconductor lasers. The model goes beyond the traditional rate equations and is computationally much more efficient to simulate than the full model