Useful and detrimental aspects of self-phase modulation in fiber optical applications

This paper reviews the features of self-phase modulation (SPM) in single-mode optical fibers and discusses the useful and detrimental aspects of this fiber nonlinearity with respect to fiber optical transmission and device applications. After a short introduction to the physical origin of self-phase modulation in fibers the following topics will be addressed: transmission system limitations due to SPM, soliton propagation, optical pulse compression, modulational instability.     

All-optical signal regeneration using fiber nonlinearity

All-optical signal processing requires the use of nonlinear optical materials. One promising candidate for this purpose for operation at speeds faster than a few tens of Gbit/s is the optical fiber. In this paper, we describe all-optical signal regeneration using the self-phase modulation (SPM) in nonlinear fibers. Our recent experimental work on high-speed on-off keying signal regeneration using a two-stage SPM-based regenerator in bidirectional fiber configuration and on its application to differential phase-shift-keying signal regeneration is described in detail.     

Nonlinear effects in optical fiber: Advantages and disadvantages for high capacity all-optical communication application

This paper presents, in the form of a review, some of the results of our study addressing the advantages and disadvantages of the nonlinear effects in optical fibers for their use in high-speed, high capacity, all-optical telecommunication applications. Nonlinear effects that we cover include: self-phase modulation (SPM), cross-phase modulation (CPM), stimulated Raman scattering (SRS), and stimulated Brillouin scattering (SBS). We have found that nonlinear effects can play useful and important roles in enhancing the fiber performances and creating new functions by way of fiber lasers, amplifiers, switches, logic devices, demultiplexers, signal format conversion and wavelength conversion devices. But we also have found that they can play degenerative roles limiting the performances of optical fiber communication. Trade-off between the advantages and the disadvantages of the nonlinear effects should be carefully examined in order to utilize their effects to the fullest extent.     

基于高非线性微结构光纤的全光再生研究

提出了利用高非线性微结构光纤自相位调制效应进行全光再生的研究方案。分析了一组微结构光纤的色散和非线性特性。结果显示光纤的非线性系数与光纤结构有密切关系。通过减小有效模面积,可以提高光纤的非线性系数。采用一种高空气填充比的高非线性微结构光纤作为非线性介质,进行了基于自相位调制效应的全光再生研究。结果表明,由于微结构光纤的高非线性,采用较短的光纤长度就可以实现较好的再生效果。同时,输入微结构光纤的峰值功率、滤波器的参量选择对光再生的效果有重要的影响,它们必需满足一定要求,才能实现光再生。此外,对再生器的传输特性进行了研究。通过调整输入峰值功率和滤波器的参量,可以对不同宽度的光脉冲信号进行全光再生。     

高速光纤通信系统中抑制偏振模色散的新机制

重点研究了偏振模色散、群速度色散、自相位调制三者之间在高速光纤通信系统中的相互作用，从时域角度分析脉冲的演变，从频域角度分析频谱的变化，提出一定条件下，啁啾、色散、自相位调制可以部分补偿偏振模色散的思想。通过对40Gbit／s系统进行偏振模色散、群速度色散和自相位调制共同作用的仿真，从统计意义上验证了它们之间的相互影响，并找到最佳传输方案，对系统设计提供了参考。     

Performance limitations of an optical heterodyne CPFSK transmission system due to self-phase modulation

A detailed theoretical analysis is presented to evaluate the combined influence of self-phase modulation (SPM) and group velocity dispersion (GVD) of optical fiber on the bit error rate (BER) performance of a heterodyne optical CPFSK system. The power penalty suffered by the system due to the combined influence of GVD and SPM is evaluated from the BER performance results. It is found that the penalty due to SPM at a BER of 10⁻⁹ is significant when the input power exceeds 7 dBm. Further, the CPFSK system with modulation index of 0.5 is less sensitive to the effects of GVD and SPM compared to the system with a modulation index of 1. The theoretical results are in conformity with the experimental results reported earlier.     

拉曼增强型自相位调制再生技术

自相位调制可用于信号脉冲的整形,可实现归零码(RZ)信号的再生。以高非线性光纤(HNLF)为介质,在高非线性光纤中实现了拉曼集总放大和信号脉冲的自相位调制。从理论上分析了同向拉曼泵浦增强信号的自相位调制,大大降低了所需的信号光强度。论证了在色散长度(LD)远大于HNLF长度(L)时由自相位调制(SPM)导致的频谱展宽,它与脉冲的啁啾无关,频谱的功率密度与脉冲的强度无关。因此在高非线性光纤之后加入偏移载波频率的带通滤波器可实现归零码信号的再生。集中拉曼放大可增强再生性能。     

光传输中RZ-ODPASK调制格式的SPM效应及其补偿研究

研究了单信道40 Gbps 归零八进制差分相位幅度调制格式（Return-to-zero Octal Phase-amplitude-shift Keying,RZ-ODPASK）光传输系统中,自相位调制(Self-phase Modulation,SPM）效应对于相位支路差分解调性能的影响.理论推导了相邻两个不同幅度的码元由于SPM效应,产生的非线性相移差表达式.提出了一种非线性相移差预补偿方法.仿真结果表明,该方法能够有效降低相位支路解调信号的眼张开代价,提高RZ-ODPASK长距离通信系统的传输性能.     

自相位调制和交叉相位调制共同作用下抽运探测波结构中的信号扰动研究

针对强度调制直接检测波分复用系统研究了抽运探测波结构中自相位调制和交叉相位调制共同作用下的光信号传输,给出了确定任意抽运信号下的探测波时域波形及强度调制率的理论解析方法,分析了信道间隔、传输速率对于交叉相位调制的影响,发现抽运波自相位调制的作用主要体现在使探测波时域强度调制率有所增大,解析结果和数值仿真能较好地吻合。     

Femtosecond Transform-Limited Pulse Generation by Compensating for the Linear Chirp of SPM Spectra in Dispersion Shifted Fibers

A simple technique of pulse compression, based on the linear chirp compensation of self-phase modulation (SPM) spectra in dispersion shifted fibers, is demonstrated. The optimization procedure is carried out, for a short span of a single-mode fiber, using a parabolic law, which describes the behavior of the squared output pulse width versus the pump peak power in the case of Gaussian pulses. The experimental results give a minimum pulse duration of 233 fs, which is in good agreement with the model. Shorter and coherent pulses, down to 90 fs, have been obtained by inserting an interference filter at the optical output.     

Generation of photon pairs in dispersion shift fibers through spontaneous four wave mixing: Influence of self-phase modulation

Correlated signal and idler photon pairs with small detuning in the telecom band can be generated through spontaneous four-wave mixing in dispersion shift fibers. However, photons originated from other nonlinear processes in optical fibers, such as Raman scattering and self-phase modulation, may contaminate the photon pairs. It has been proved that photons produced by Raman scattering are the background noise of photon pairs. Here we show that photons induced by self-phase modulation of pump pulses are another origin of background noise. After studying the dependence of self-phase modulation induced photons in signal and idler bands, we demonstrate that the quantum correlation of photon pairs can be degraded by the self-phase modulation effect. The investigations are useful for characterizing and optimizing an all fiber source of photon pairs.     

High-Q microwave photonic filter with self-phase modulation spectrum broadening and third-order dispersion compensation

We propose and experimentally demonstrate a scheme of high-Q microwave photonic filter （MPF） using the techniques of self-phase modulation （SPM） spectrum broadening and third-order dispersion （TOD） compensation. The optical pulses from a mode-locking laser are spectrally broadened by the SPM in the highly nonlinear fiber. A wideband optical frequency comb with 365 spectral lines within 10-dB power variation from the highest spectral power is obtained. By applying a cubic phase modulation via a waveshaper, the effect of TOD which broadens the MPF passband is eliminated. The final implemented MPF has a Q-value as high as 296 and a tuning range of 700 MHz.     

自准直干涉仪测光纤非线性克尔系数的误差分析

由M-Z干涉仪组成自准直干涉装置是一种抗干扰很强的干涉法测光纤非线性科尔系数γ的装置。由于测试脉冲强度受光纤的衰减和耦合器的分流,输入段和输出段脉冲强度不一样,势必要引入系统相移扰动,造成测试相移并非完全是测试光纤SPM效应引入的相移,对准确测量光纤非线性科尔系数γ值形成误差。理论分析了这种扰动的形成机理,引入扰动相移误差量。模拟分析了影响相移误差量的参数,优化这些参数,并且找到最优参数值,使相移误差量最小,且不受输入脉冲强度变化的影响。大大地改善了该系统的性能。最后试验测试了SMF光纤,和已有测试方法比较,波动范围明显减小。     

单模光纤中喇曼类孤子脉冲理论研究

本文在考虑群速度色散(GVD)、受激喇曼散射(SRS)、自相位调制(SPM)、交叉相位调制(XPM)及光纤损耗同时作用的条件下,建立了关于单模光纤中喇曼类孤子的理论计算模型。通过模拟计算Gouveia-neto等人的实验,得到了84fs的喇曼类孤子脉冲,与其实验结果基本一致,并给出了喇曼类孤子脉冲形成过程的图象和新见解。 关键词：     

Accuracy Improvement in the Measurement of the Non-Linear Coefficient of Optical Fibers Based on Self-Phase Modulation

Abstract

A novel and simple procedure to improve the accuracy of the measurement of the third-order Kerr non-linear coefficient of optical fibers based on self-phase modulation is described. It includes an efficient method to identify the chirp of the input pulse. A standard single-mode fiber and a highly non-linear microstructure chalcogenide fiber have been measured. The accuracy of the measurement is increased to ±5% instead of ±19% with the classical self-phase modulation method in this case.     

基于超长环形激光器泵浦的94 km布里渊分布式传感系统

首次将超长光纤环形激光器的光放大应用于布里渊光时域分析(BOTDA)传感系统,以延伸传感距离。 通过对布里渊泵浦消耗、 拉曼泵浦相对强度噪声(RIN)转移的抑制及拉曼泵浦功率分布的优化,基于对布里渊增益谱分析的原理在94 km的传感距离上实现了3 m空间分辨率,以及全程28 με/1.4 ℃应变/温度精度。     

Impact of optical modulation formats on SPM-limited fiber transmission in 10 and 40 Gb/s optimum dispersion-managed lightwave systems

In this paper, 10 and 40 Gb/s optical systems have been investigated for nonreturn-to-zero (NRZ), return-to-zero (RZ), carrier-suppressed return-to-zero (CSRZ) and RZ-differential phase-shift-keying (RZ-DPSK) data formats. For the range of the optical signal power from −5 to 15 dBm, a maximum self-phase modulation (SPM)-limited transmission distance L_SPM is determined with eye-opening penalty (EOP) >1 dB .The observations are based on the modeling and numerical simulation of optimum dispersion-managed transmission link. Transmission over distances of the order of several hundreds of kilometers has been shown with and without amplified spontaneous emission (ASE) noise of the in-line erbium-doped fiber amplifiers (EDFAs).     

Performance Evaluation of a Gigabit Optical CDMA Network for Two Distinct Families of Two-Dimensional Codes and Different Transmission Rates

This paper investigates the performance of a given gigabit optical code division multiple access (O-CDMA) network for two distinct families of two-dimensional (2-D) codes. The purpose of this analysis is to provide additional information regarding code adequacy to a given system availability so that performance optimization can be more efficiently carried out. The analysis takes into account construction aspects of the codes as well as dispersive and nonlinear effects in the single-mode fiber (SMF), such as group velocity dispersion (GVD), polarization mode dispersion (PMD), self-phase modulation (SPM), and cross-phase modulation (XPM). The analysis focuses on four different transmission rates, i.e., 1.25, 2.5, 5, and 10 Gbit/s, and describes how signal degradations impact the performance of the network. The simulations are carried out for a back-to-back system and for a 50-km dispersion-compensated fiber-optic link.     

色散效应对光纤自相位调制全光再生器性能的影响

针对基于光纤自相位调制效应的全光再生技术,分析了色散效应对再生器转移函数和Q因子改进量的影响以及再生器中色散和自相位调制的相互作用,提出一种通过改变再生器光纤结构实现转移函数平坦区改善的方法。数值结果表明:全光再生器中色散会抑制自相位调制引起的频谱展宽,使Q因子改进量减小;对于色散,非线性系数和长度等参量不同的光纤介质,如果色散与长度的乘积与最大非线性相移的比值一定,再生器的性能基本不变;在两段高非线性光纤间增加适当长度色散补偿光纤,可以改善转移函数平坦区,使平坦区范围显著增加。     

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.