Demonstration of chirping manipulation of laser diode chirped optical pulses utilising cross-phase modulation in optical fibres

A new method to manipulate the chirp characteristics of laser-diode pulses is proposed, utilising the cross-phase modulation in optical fibres. Chirping manipulation of a red-shift chirped pulse from a 1.3 mu m gain-switched distributed-feedback laser diode is first demonstrated by compensating for the residual chirp through the blue-shift chirp induced by a 1.3 mu m intense YAG pump pulse.<>     

光子晶体光纤中基于交叉相位调制的脉冲压缩

为了研究飞秒双脉冲在光子晶体光纤不同色散区的非线性传输过程,采用分步傅里叶方法求解耦合的非线性薜定谔方程组,并进行了理论分析。讨论了不同抽运功率、不同抽运脉冲啁啾参量以及不同脉宽比对信号脉冲压缩的影响。结果表明,基于交叉相位调制效应,弱信号脉冲不仅能够被压缩,而且光纤存在最佳压缩长度。增大抽运脉冲输入功率,选取正啁啾抽运脉冲,可以得到更大的信号脉冲压缩因子,同时最佳光纤长度减小。另外,不同的脉冲宽度对信号脉冲的压缩产生大的影响,较窄脉宽的抽运脉冲易于产生较短的压缩信号脉冲。这一结果对用光子晶体光纤压缩弱信号脉冲提供了理论参考。     

Characterization of the chirp and intensity modulation propertiesof an SOA-MZI wavelength converter

Wavelength converters based on cross-phase modulation in semiconductor optical amplifiers (SOAs) in the arms of a Mach-Zehnder interferometer (MZI) provide a key network element for reconfigurable optical networks that incorporate wavelength routing. For system design purposes, the properties of the intensity and phase (chirp) modulation of the wavelength-converted signal for an SOA-MZI wavelength converter are important. In this paper, the small-signal α parameter, which characterizes the converter chirp, and the conversion frequency response are characterized experimentally for an integrated all-active SOA-MZI wavelength converter. For both co- and counterpropagating signals, the variation of the a parameter along the interference and conversion curves is considered in detail. Three optical modulators with quite different chirp properties are used to generate the modulated input signal to the wavelength converter. The results demonstrate that the chirp of the wavelength-converted signal is primarily determined by the device properties and the intensity of the modulated input signal. The a parameter of the wavelength-converted signal is negative for noninverting operation and positive for inverting operation. An important contribution of the paper is the detailed assessment of this key device characteristic. The experimental characterization of the wavelength converter is incorporated into a device model that can be used to obtain the pulse response. Calculated and measured results for the time dependence of the intensity and chirp of the wavelength-converted signal are in good agreement. The conversion frequency response for the intensity modulation is also measured along the conversion curve. The 3-dB bandwidth is found to be generally about 8-10 GHz     

利用光脉冲传输特性抑制偏振模色散

基于双折射光纤中光脉冲传输方程,详细分析了二阶色散、自相位调制以及交叉相位调制在光脉冲传输过程中引起的啁啾。分析结果显示:通过合理选取入射功率,二阶色散引起的啁啾与自相位调制引起的啁啾在脉冲中心附近可以相互抵消,从而使脉冲展宽最小;交叉相位调制产生的两偏振分量的啁啾引起的频移,可使两偏振分量间产生互束缚,利用这种现象可以抑制偏振模色散。     

Frequency dependence of the chirp factor in 1.55 μm distributedfeedback semiconductor lasers

The authors report on measurements of the chirp factor versus modulation frequency and bias for 1.55 μm distributed feedback lasers. A scanning Michelson interferometer is used to measure the phase response of the optical field under small-signal modulation of the injection current. The magnitude of the phase response is then quantified in terms of an effective chirp factor corresponding to the well known α-parameter. The authors find this factor to increase monotonically and nearly double as the modulation frequency increases from below to above the resonance frequency of the relaxation oscillation. The results contradict the commonly held view of α as a constant parameter for a given laser structure     

Chirp behaviour of high-speed GaInAsP/InP optical intensitymodulator

A low chirp characteristic was observed in a high-speed GaInAsP/InP BH optical intensity modulator with a bandwidth of 14 GHz. The maximum chirp was about 0.8 Å under large-signal pulse modulation. This value agrees well with the calculated result using the α_E parameter which was directly evaluated by a change in the complex refractive index     

预啁啾对偏复用孤子技术的补偿

在导出自相位调制和交叉相位调制共同作用所致相位调制频率啁啾的基础上,数值研究了相位调制频率啁啾与初始啁啾的关系,并对有和无初始啁啾40Gbit/s归零码(RZ)在二阶和三阶色散完全补偿(路径平均色散为0)的色散管理偏振复用孤子传输系统中的传输效果进行计算。结果表明,在输入功率达到一定值时,初始啁啾参量C对相位调制频率啁啾的作用,决定着系统偏振复用孤子技术的成效及传输性能,适当选取初始啁啾参量C能够有效抑制偏振模色散,提高孤子脉冲稳定传输距离。     

基于SOA啁啾管理的连续可调谐色度色散补偿的研究

提出了一种新型的可小范围连续调谐的色度色散(CD)补偿方案.该CD补偿方案包括一个半导体光放大器(SOA)和一段固定长度的色散补偿光纤(DCF).利用SOA的交叉相位调制(XPM)效应,通过调节SOA的偏置电流和控制脉冲光的强度,可以对进入SOA的光信号引入不同大小的附加啁啾量,从而可以利用固定长度的DCF得到补偿后的无啁啾光信号.实验中,实现了10 Gb/s可调谐CD补偿器,在无需替换DCF的情况下,实现了补偿范围为-40 ps/nm到60 ps/nm的连续可调谐CD补偿.     

Phase-amplitude coupling factor of single-mode gain-switchedInGaAsP laser diodes

The phase amplitude coupling factor (α-factor) of gain-switched InGaAsP laser diodes is deduced from chirp measurements. A tunable laser scheme makes it possible to obtain the wavelength dependence of α over ~40 nm. The α-values are found to be higher than those deduced from spontaneous emission spectra below threshold. It is shown that the difference is explained by the dependence of α with carrier density. Time-resolved measurements of spontaneous emission during pulse buildup reveal that the carrier density at maximum can be 1.5 times higher than the threshold carrier density. Experimental evolutions of α are well reproduced by calculations     

Raman amplification of solitons in a fiber optic ring

This paper is concerned with computations involving the Raman amplification of a recirculating soliton pulse within a fiber optic ring. The pump source is a CW laser and the effects of pump depletion, pump walk off and self-/cross-phase modulation are included in the analysis. It is found that the combination of pump depletion and pump cross-phase modulation can cause the Stokes pulse to be shifted in time. The build up of recirculating pump power also affects the soliton peak power and pulse width     

Supercontinuum Generation Enhanced by Cross-phase Modulation in Dispersion-flattened and Decreasing Fiber

Supercontinuum spectrum generation in a dispersion-flattened and decreasing fiber with two orthogonally polarized pulses was simulated and calculated. The research results indicated that the supercontinuum spectrum generated by two orthogonally polarized pulses is wider and flatter than that generated by single polarized pulse due to cross-phase modulation. The cross-phase modulation effect can enhance the supercontinuum spectrum generation. When the pump power of the input pulse is lower, the enhancement of supercontinuum spectrum generation by cross-phase modulation effect is more significant.     

Continuously Tunable Microwave Photonic Filter With Negative Coefficients Using Cross-Phase Modulation in an SOA-MZ Interferometer

A notch filter with negative tap is proposed based on exploiting cross-phase modulation in a semiconductor optical amplifier Mach-Zehnder interferometer. This configuration shows a high operation bandwidth and reduces the chirp of the modulated signal compared to prior proposed configurations based on cross-gain modulation. We compare the operation of the structure when optic delay lines or dispersive fibers are used to generate the optical taps. Moreover, a continuous free-spectral range tuning is shown.     

高功率啁啾高斯脉冲在光纤中传输的形变研究

从光纤广义非线性薛定谔方程出发,定义了用于衡量脉冲形变大小的脉冲形变因子,定量地分析了在传输过程中脉冲形变因子、临界长度、临界功率及初始啁啾之间的关系。结果表明:在传输过程中,当入射脉冲的峰值功率一定时,正啁啾脉冲的形变比负啁啾脉冲和无啁啾脉冲的形变小;当脉冲的初始啁啾一定时,脉冲传输的临界长度随着传输功率的增加而降低,且随着功率的增大,不同初始啁啾脉冲的临界长度趋于一致;在传输距离一定时,临界功率与初始啁啾呈线性变化,且啁啾的漂移对正啁啾脉冲的临界功率影响较大。     

Partial response continuous phase chirp modulation

A class of chirp modulation called partial response continuous phase chirp modulation is introduced by extending the length of the baseband pulse for more than one interval. Partial response chirp signals are constructed at finite numbers of states. Numerical results show that partial response chirp signals perform significantly better and they also have better spectral variations than the known chirp signals     

Nonlinear Distortion Due to Cross-Phase Modulation in Microwave Fiber-Optic Links With Optical Single-Sideband or Electrooptical Upconversion

A new analytical model is presented to study nonlinear distortion due to cross-phase modulation in dispersive and nonlinear wavelength-division-multiplexing microwave fiber-optic links. The model is not based on the pump-probe approach. Hence, it can be used to analyze a larger variety of links, including, in particular, electrooptical upconversion links. Our simulations and experiments show that the model predicts the nonlinear distortion due to cross-phase modulation quite accurately, even when the modulating microwave frequency is in tens of gigahertz and the fiber length is in tens of kilometers. Detailed analyses of the distortion due to cross-phase modulation for links with optical single-sideband modulation are presented. Measured results for optical single-sideband are shown to match our theoretical predictions very well. Our results show that the nonlinear distortion due to cross-phase modulation can be a limiting factor for optical launch power in wavelength-division-multiplexing microwave fiber-optic links; moreover, the maximum possible nonlinear distortion level for a higher frequency may be lower than that for a lower frequency. Also presented are some simple approximations for a quick estimate of the level of the nonlinear distortion     

All-Optical 40-GHz Time-Domain Fourier Transformation Using XPM With a Dark Parabolic Pulse

We demonstrate a 40-GHz all-optical time-domain Fourier transformation, in which an ideal parabolic phase modulation is applied to a signal by cross-phase modulation (XPM) with a dark parabolic pulse. The dark optical parabolic pulse is generated by the line-by-line spectral manipulation of a 40-GHz picosecond optical pulse source using an arrayed waveguide grating pulse shaper. By applying the parabolic XPM, the time interval for eliminating linear waveform distortions is expanded to a full bit slot. Dispersion slope-induced distortion is successfully eliminated with this scheme.      

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     

光子晶体光纤中高阶色散和非线性对压缩脉冲对的影响

数值模拟了光子晶体光纤中波长位于反常色散区的高阶孤子泵浦脉冲与波长在正常色散区的信号脉冲通过交叉相位调制作用,产生的压缩脉冲对.首先讨论了在高阶色散影响下,飞秒脉冲基于交叉相位作用,弱脉冲产生的压缩脉冲对不再保持对称不变,产生蓝移.此外,考虑高阶非线性效应的影响,飞秒信号脉冲从正常色散区频移到反常色散区,产生的压缩脉冲由两个演变成一个,受拉曼红移影响较大,同时脉冲的峰值功率显著增加.     

Wavelength dependence and power requirements of a wavelengthconverter based on XPM in a dispersion-shifted optical fiber

A 40-Gb/s wavelength converter based on cross-phase modulation in a dispersion-shifted fiber has been investigated through pulse measurements and simulation. The most important parameter is the dispersive walkoff, which makes the required input power wavelength dependent and determines the optical bandwidth. Simulations show the feasibility of the 160-Gb/s operation by using 2-ps pulses and a highly nonlinear dispersion-shifted fiber