Femtosecond soliton transmission characteristics in an ultralongerbium-doped fiber amplifier with different pumping configurations

The transmission characteristics of femtosecond optical solitons in an 18.2 km-long erbium-doped fiber amplifier (EDFA) have been investigated in detail by changing the pumping configuration. With backward pumping, a lossless transmission of 440 fs solitons at 1.55 μm has been realized with a pump power of 16 mW. The output pulsewidth is determined by the spectrum modified by the soliton self-frequency shift. In a bidirectional pumping configuration, 440-fs soliton pulses have been transmitted for a total pump power of 38 mW, where the output pulse width is determined by the original 1.55 μm spectrum. Although a femtosecond soliton is very weakly trapped in the EDFA-gain bandwidth of 1.55 μm and the soliton self-frequency shift inevitably occurs, the femtosecond pulse component still exists at 1.55 μm, and a pulse can be successfully transmitted with a gain of 11 dB and very little pulse broadening     

Stability of femtosecond solitons in optical fibres influenced by optical attenuation and bandwidth limited gain

The stability of soliton pulses which undergo the Raman self-frequency shift in the presence of bandwidth limited amplification and loss is examined. General criteria for stable propagation are given which show this behaviour is sensitive to the shape of the gain profile and loss. In particular, stability can only be achieved in a narrow spectral region of the gain.<>     

Reduction in higher order effects on logic functions of asymmetricnonlinear optical fiber couplers by bandwidth limited amplification

Higher order effects such as third-order dispersion, shock effect, and soliton self-frequency shift on all-optical logic gates that use asymmetric nonlinear optical fiber couplers are investigated with the beam propagation method, and it is found that third-order dispersion seriously affects the operations of logic devices. In contrast to the case of nonvanishing third-order dispersion, the radiation is stimulated, and consequently the operations of the logic devices are degraded. In order to diminish the degradation, the bandwidth limited amplification is introduced. The logic functions can be improved by trapping only the soliton components in the finite gain-bandwidth     

Second-order distortion improvements or degradations brought byerbium-doped fiber amplifiers in analog links using directly modulatedlasers

Within lightwave analog amplitude-modulated (AM) CATV systems using directly modulated lasers, erbium-doped fiber amplifiers (EDFA's) act upon the signal distortion because of the interaction between the laser chirp and the EDFA wavelength-dependent gain. This interaction is theoretically investigated in order to predict the EDFA-induced distortion. The relevant gain tilt characteristic for analog applications and the way to measure it are described. Expected and measured distortions at the EDFA output are in excellent agreement. Fiber amplifiers are found to decrease the signal distortion level when the gain tilt is negative, i.e., for wavelength above the gain maximum     

Analysis of a passively mode-locked self-starting all-fiber solitonlaser

Modeling results are presented for a passively mode-locked figure-eight laser (F8L) supporting a linear polarization state. Starting from amplified spontaneous emission, the model produces soliton, chirped, red-shifted, ultra-short pulses. The self-starting conditions of the laser are investigated, and the erbium-doped fiber amplifier gain threshold to passively mode-lock the laser is determined as a function of the center coupler splitting ratio (C_r). The influence of C_r, as well as the effects of the cavity length (L_c), first- and second-order group velocity dispersion to the F8L operating, parameters, and output pulse characteristics such as width, peak power, chirp, self-frequency shift and envelope distortion, are studied     

Theoretical analysis of spectral hole burning and relaxationoscillation in all-optical gain stabilized multichannel erbium-dopedfiber amplifier (EDFA)

The spectral hole burning effects and gain dynamics of all-optical gain clamped multichannel erbium-doped fiber amplifiers (EDFAs) are modeled. The two-level laser model is used to write the propagation and rate equations of the inhomogeneous laser medium. The governing equations are an uncountable system of partial differential equations (PDEs). After some mathematical manipulations, averaging over the fiber length and introducing an approximation method, the system of PDEs is converted to a finite system of ordinary differential equations (ODEs). The gain dynamics and hole burning of an all-optical stabilized multiwavelength EDFA and the transient response of an optical fiber inverter are analyzed by the solution of the system of ODEs. Theoretical results are in good agreement with the published experimental result     

Wavelength-tunable multicolor Raman soliton generation using an ellipse polarized pump pulse and highly birefringent optical fibers

Wavelength-tunable multicolor optical pulse generation based on the self-frequency shift of a Raman soliton was demonstrated. An ellipse polarized pump source, a highly birefringent (HB) optical fiber, and a highly nonlinear dispersion-shifted fiber were used to generate Raman soliton pulses. The wavelength was tuned by controlling the polarization of the pump source. Raman soliton pulses with six different colors and low wavelength crosstalk under 20 dB have been successfully generated.     

光孤子在分布式光纤放大器中传输特性的研究

光纤放大器用于补偿光信号在光纤中的传输损耗,是全光通信网中的核心器件。建立了光孤子在分布式光纤放大器中传输的物理模型,采用分步傅里叶变换法数值模拟了光孤子的传输放大特性,讨论了增益色散对光孤子形状和频谱的影响。结果表明：在放大器的反常色散区,随着光孤子的放大,会不断地产生啁啾孤子,孤子频谱会加宽并且产生振荡结构。放大介质的增益色散将会使光孤子幅度下降,宽度展宽,频谱窄化。因此,光纤放大器的色散、非线性效应和增益色散均会对光孤子的传输特性产生影响。     

Modified split-step Fourier method for the numerical simulation ofsoliton amplification in erbium-doped fibers with forward-propagatingnoise

Using a modified version of the split-step Fourier method, we analyze the effect of noise on soliton propagation inside erbium-doped fiber amplifiers. In fact, noise from forward-propagating amplified spontaneous emission, associated with a Markov immigration process, is included in the analysis of soliton amplification. Moreover, this algorithm accounts for the real spectral gain profile of the fiber amplifier. The frequency jitter, induced during soliton amplification, is compared with the Gordon-Haus effect where optical amplifiers are considered as noisy point-like devices     

基于交叉相位调制的孤子脉冲压缩效应研究

在负色散区 ,基本孤子在光纤中传输时其波形与脉宽保持不变。提出一种在负色散区利用交叉相位调制效应压缩基本孤子脉冲的新方法。采用分步傅里叶方法对非线性耦合方程进行了数值计算与模拟。研究了不同抽运功率、不同抽运脉冲啁啾参数以及不同脉宽对基本孤子脉冲压缩的影响。发现基本孤子脉冲不仅能够被压缩 ,而且光纤存在最佳压缩长度。在抽运功率一定的条件下 ,选取负啁啾的抽运脉冲 ,可获得更高压缩比的压缩光脉冲。另外 ,不同的脉冲宽度对孤子脉冲的压缩产生较大的影响 ,一般情况下 ,选用较窄的抽运脉冲易于产生较短的压缩光脉冲     

Recirculating loop for experimental evaluation of EDFA saturatedregime effects on optical communication systems

We demonstrate an optical-fiber recirculating loop for experimental simulation of long-haul optical communication systems using cascaded erbium-doped fiber amplifiers (EDFA's) operating in the gain saturation regime. The loop contains sections of dispersion shifted fibers (DSF's), standard fiber, and a set of in-line devices, such as tuning filters, optical amplifiers, polarization controllers, and a variable attenuator. The main results presented here are related to the observation of the effects due to the slow dynamics of the EDFA. We also discuss the validity of using an optical attenuator to simulate an extra length of fiber     

Gain stabilization in gain clamped EDFA cascades fed by WDMburst-mode packet traffic

This paper studies via simulation the stabilizing effect of all-optical gain-clamping (AOGC) in a chain of erbium-doped fiber amplifiers (EDFA) fed by wavelength-division multiplexing (WDM) burst-mode packet traffic. AOGC is necessary to suppress swings of output power and optical signal-to-noise ratio (OSNR). A case study is selected, in which only the first EDFA in a cascade of six amplifiers is clamped using a ring laser configuration. A numerical model which solves the transcendental equation for the average inversion at each EDFA is used for the analysis. The traffic is generated on the eight WDM channels by ON-OFF time-slotted sources, with statistically independent ON and OFF durations, randomly generated by a truncated Pareto distribution with infinite variance. The simulation model includes the generation of amplified spontaneous emission within each amplifier and the propagation of the lasing power generated in the AOGC EDFA through the cascade. It is shown that the sizable power and OSNR swings arising in an unclamped cascade of EDFA's can be effectively suppressed when a lasing signal a few decibels above the aggregate signal power develops in the AOGC EDFA and propagates along the cascade     

Ultrashort pulse propagation, pulse breakup, and fundamental soliton formation in a single-mode optical fiber

The propagation of ultrashort (0.83 ps), intense dye laser pulses through a single-mode optical fiber is investigated. The input wavelength is tuned in the vicinity of the zero dispersion wavelength of the fiber. Although the input power is sufficient to generate solitons of up to the tenth order we do not observe the formation of high-order solitons. Instead, the input pulse breaks up temporally and spectrally after an initial stage of narrowing, and an ultrashort Stokes pulse is formed which shifts continuously to lower frequencies with increasing fiber length. The parameters of this pulse closely correspond to those of the fundamental soliton solution of the nonlinear Schroedinger equation. Using fiber lengths from a few meters up to 1 km the resulting pulse durations lie between 55 and 410 fs and the corresponding wavelengths between 1.36 and 1.54 μm. Numerical simulations solving a modified nonlinear Schroedinger equation including higher order dispersion and the Raman effect are in good agreement with the experimental results. It is shown that the principal soliton pulse shaping mechanisms are pulse narrowing and the soliton self-frequency shift.     

All-optical gain control of in-line erbium-doped fiber amplifiers for hybrid analog/digital WDM systems

Automatic gain control using an all-optical feedback loop in in-line erbium-doped fiber amplifiers (EDFA's) used in hybrid analog/digital wavelength division multiplexing (WDM) systems was studied. It is found that the signal level variation for the digital channels can be maintained within a range /spl les/3-dB between the presence and dropout of the analog channel when the narrowband feedback is centered at the amplified spontaneous emission (ASE) peak (/spl sim/1532 nm) with loop loss ranging between 13-22 dB. Robust transmission at 2.5 Gb/s without measurable power penalty was obtained for the digital channels when the EDFA was saturated by either the analog or the control lasing signal.     

基于非线性放大环镜的全光开关特性研究

采用掺铒光纤放大器(EDFA)和高非线性色散位移光纤(HNL—DSF)组成非线性放大环镜(NALM)，利用掺铒光纤放大器的高增益系数和高非线性色散位移光纤的光学克尔效应构造全光开关，实现脉冲整形和消除干扰噪声。采用分布傅里叶法分析了高非线性色散位移光纤的群速度色散(GVD)对非线性放大环镜开关特性的影响，讨论了掺铒光纤放大器的增益系数、增益饱和特性以及耦合器的耦合比等因素的影响，研究了入射光为高斯脉冲的情况下，非线性放大环镜与入射光信号强度相关的放大滤波特性。通过优化非线性放大环镜的各项参数，可以在实现高开关效率的同时，降低对开关功率的要求，对峰值功率低于1mW的超短脉冲进行Tbit／s量级的开关操作，从而适用于超高速大容量光通信系统中。     

Analysis of channel addition/removal response in all-opticalgain-controlled cascade of erbium-doped fiber amplifiers

Application of the all-optical gain-controlled (AOGC) erbium-doped fiber amplifier (EDFA) for protection surviving channels in a multiwavelength network in which several EDFAs are cascaded is studied. The effects of addition and/or dropping of wavelength channels in a network comprising six concatenated EDFAs have been analyzed by numerical simulation. Only the first EDFA in the cascade is gain clamped using a ring laser configuration. A large-signal EDFA model which incorporates time variation numerical effects and the downstream propagation of signal and pump and downstream and upstream propagation of amplified spontaneous emission (ASE) has been used. In particular, the effects of relaxation oscillations from the gain-controlled EDFA on the surviving channel protection are investigated. It is shown that power excursions caused in an eight-channel wavelength division multiplexed (WDM) network by the loss/addition of 6 channels will be lower than 1 dB and free of relaxation oscillations if the gain-controlled EDFA is strongly inverted and the average normalized population density of the metastable level does not drop below 0.74     

48 fs,108 MHz色散管理孤子掺Er3+光纤激光器

提出了一种基于商售光纤构建的适用于精密光谱光频梳应用的100 MHz重复频率色散管理孤子光纤激光器的设计方案.通过采用低负色散光纤调控重复频率、高正色散光纤增大腔内脉冲呼吸比,构建了重复频率为108 MHz、中心波长为1550 nm的基于正色散掺铒光纤的色散管理孤子光纤激光器,该激光器腔内净色散为-0.0023 ps2,直接输出脉冲宽度为70 fs,经光纤压缩后脉冲宽度为48 fs,且脉冲中心波长处在1550 nm.     

EDFA对基孤子脉冲进行压缩与放大的数值研究

从描述光脉冲在掺铒光纤放大器(EDFA)中传输的非线性薛定谔方程出发,对基孤子脉冲在EDFA中的压缩与放大进行了数值研究,并对孤子脉冲在其中的压缩提出优化方案。结果表明,通过合理地选择EDFA的参数,可使无啁啾的基孤子脉冲实现绝热压缩和放大;对具有初始啁啾的基孤子脉冲,压缩过程将不再满足绝热条件;对于正啁啾的基孤子脉冲,可得到较好的压缩与放大;而对于负啁啾的基孤子脉冲,压缩效果却较差。     

Stretched ultrashort pulses for high repetition rate swept-wavelength Raman pumping

We demonstrate a novel, high repetition rate, swept-wavelength Raman pump source. The pump is based on stretched femtosecond pulses, initially generated in a passively modelocked, erbium-doped, fiber laser, and wavelength shifted in highly nonlinear, dispersion shifted fiber. The pump wavelength has a linear sweep in time, with a repetition rate of 69 MHz. The pump has a center wavelength of 1470 nm, a full-width at half-maximum (FWHM) of 31 nm, and an average power of 350 mW. We characterize the pump by performing pump propagation experiments and electrical spectrum measurements of signal lasers amplified with the swept-wavelength pump.     

1.48μm泵浦的EDFA理论模型的修正与数值解

本文所建立的ＥＤＦＡ的理论模型考虑了ＡＳＥ和光纤的本征衰耗，修改了速率方程和传输方程，对泵浦光功率，信号光功率沿光纤长度的分布及ＥＤＦＡ增益特性等进行了数值解，所得结果与实验结果符合较好。