Self—Steepening and Thired—Order Dispersion Induced Optical Solitons in Fiber

Usually,one considers only the group velocity dispersion(GVD)-and self-phase modulation(SPM)-induced solitons in optic soliton communication while other higher order effects such as the third-order dispersion(TOD),self-steepening(SS),and stimulated Raman scattering are considered only perturbatively,In this paper,we study the existence of the TOD-and SS-induced soliton solutions.The existence conditions of the TOD-and SS-induced bright and dark solitons are quite different from those of the GVD-and SPM-induced solitons.     

Numerical Analysis of Induced Phase Modulation between Two Ultrashort Pulses in Silica Fiber by the Extended Finite-Difference Time-Domain Method

We have analyzed the induced phase modulation (IPM) for ultrashort (74 fs) two-pulse propagation in a silica fiber by the extended finite-difference time-domain (FDTD) method, considering all exact Sellmeier-fitting values and nonlinear polarization P_NL involving the Raman response function. We show that nonlinear polarization causes several phenomena in spectral characteristics of propagated pulses, such as self-phase modulation (SPM), self-steepening, Raman response and IPM, by the extended FDTD method. To the best of our knowledge, this is the first IPM calculation by the extended FDTD method for the simultaneous propagation of two ultrashort (74 fs) laser pulses in a silica fiber.     

Self-phase modulation via similariton solutions of the perturbed NLSE Modulation instability and induced self-steepening

The perturbed nonlinear Schrodinger equation (PNLSE) describes the pulse propagation in optical fibers, which results from the interaction of the higher-order dispersion effect, self-steepening (SS) and self-phase modulation (SPM). The challenge between these aforementioned phenomena may lead to a dominant one among them. It is worth noticing that the study of modulation instability (MI) leads to the inspection of dominant phenomena (DPh). Indeed, the MI triggers when the coefficient of DPh exceeds a critical value and it may occur that the interaction leads to wave compression. The PNLSE is currently studied in the literature, mainly on finding traveling wave solutions. Here, we are concerned with analyzing the similarity solutions of the PNLSE. The exact solutions are obtained via introducing similarity transformations and by using the extended unified method. The solutions are evaluated numerically and they are shown graphically. It is observed that the intensity of the pulses exhibits self steepening which progresses to shock soliton in ultra-short time (or near t = 0). Also, it is found that the real part of the solution exhibits self-phase modulation in time. The study of (MI) determines the critical value for the coefficients of SS, SPM, or high dispersivity to occur.     

Modeling interaction of ultrashort pulses with ENZ materials

In this work, the split-step Fourier method for beam propagation is used to investigate the interaction of ultra-short pulses with epsilon-near-zero materials. The propagation of pulses is governed by the nonlinear Schrödinger equation (NLSE) containing dispersion, gain-bandwidth, self-phase modulation, self-steepening, and absorption parameters. It is found that the intensity profile of the pulse is broadened and the phase of the pulse is shifted by dispersion phenomena. The gain/loss related to the imaginary part of the refractive index causes an increase or decrease in intensity and pulse edge effects. These effects do not favor the steady propagation of the pulse. The self-phase modulation is not noted to appreciably affect the intensity pulse profile. The self-steepening modifies the phase and energy of the pulse during propagation, as well as absorption, which influences the losses by both the linear and nonlinear effects.     

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.     

Higher-Order Effects Induced Optical Solitons in Fiber

In this paper, we study the existence conditions of the soliton solutions induced by considering the higher-order effects such as the third-order dispersion (TOD), self-steepening (SS), and self-frequency shift arising from stimulated Raman scattering (SRS) simultaneously in optical soliton communication. Based on the Jacobian expansion method, we successfully obtain bright and dark solitons. The results shows that the resultant inclusion is in agreement with Mollenauer et al. [Physical Review Letters 45 (1980) 1095] when the SRS is not considered; while when the SRS is considered, the existence conditions of the higher-order effects induced bright and dark solitons are not only quite different from those of the group velocity dispersion (GVD)-induced and self-phase modulation (SPM)-induced solitons, but also different from those of the TOD- and SS-induced solitons discussed by Mollenauer et al. [Physical Review Letters 45 (1980) 1095].     

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.     

Dispersion and nonlinearity compensation by spectral phase conjugation

We propose the use of spectral phase conjugation to compensate for dispersion of all orders, self-phase modulation, and self-steepening of an optical pulse in a fiber. Although this method cannot compensate for loss and intrapulse Raman scattering, it is superior to the previously suggested midway temporal phase conjugation method if high-order dispersion is a main source of distortion. The reshaping performance of our proposed scheme and a combined temporal and spectral phase conjugation scheme in the presence of uncompensated effects is studied numerically.     

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.     

Theoretical and experimental studies of combined self-phase modulation and stimulated Raman-scattering in single-mode fibres

A theoretical model of pulse propagation through single-mode fibres is presented taking into account the combined action of self-phase modulation, stimulated Raman-scattering and the group velocity mismatch between pump and Stokes pulses. Due to the walk-off of Stokes and laser light an asymmetric pump pulse depletion resulting in considerable reshaping of laser pulses and an asymmetric self-phase modulation spectrum can be calculated and experimentally verified. A maximum laser power is found to be transferable through the fibre.     

Optical wave breaking of high-intensity femtosecond pulses in silicon optical waveguides

We have investigated numerically the propagation of high-intensity femtosecond optical pulses with pulsewidth of 100 fs (half width at 1/e maximum) on the silicon-on-insulator (SOI) optical waveguide when the central wavelength of the pulse locates in the normal dispersion region. Results show that the combined effects of group-velocity dispersion (GVD), third-order dispersion (TOD), self-phase modulation (SPM), and free-carrier dispersion (FCD) can lead to the phenomenon of optical wave breaking that manifests as an asymmetric profile and oscillation near the trailing edge of the pulse. Moreover, the optical wave breaking will be experienced from generation to disappearance during propagation.     

All optical logic gates based on an asymmetric nonlinear directional coupler

The performance of three different asymmetric dual core nonlinear directional couplers which includes an increasing and a decreasing self-phase modulation profile (SPM) was investigated. The asymmetry is associated to the SPM profile of one of the channels. Looking at the transmission characteristics of the device, through the direct- and cross-channel, we did a study of the extinction ratio (Xratio) of the devices. It was observed that in the operation of the three couplers, the performance of AND, XOR and OR gates are dependent on the nonlinearity profile of the coupler. For all configurations, an AND port with gain was observed. We can conclude that to operate the asymmetric coupler as a logic gate one has to control the nonlinearity profile to optimize the transmission characteristics thorough the extinction rate coefficient (Xratio).     

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。     

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.     

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。     

采用光纤拉曼放大改善1550 nm外调制有线电视系统的组合二阶失真指标

为克服长距离光纤有线电视（CATV）系统中采用高增益掺铒光纤放大器（EDFA）所带来的非线性损伤．对在残留边带调幅（AM—VSB）外调制光纤有线电视系统中采用光纤分布拉曼放大时的组合二阶失真（CSO）进行了,理论研究。根据拉曼放大对信号光强的增益作用。导出了分布拉曼放大条件下的薛定谔方程。并采用微扰法解出了存在拉曼分布放大时,残留边带调幅外调制有线电视系统中．自相位调制（SPM）导致的组合二阶失真的解析表达式。相应数值计算结果表明．相对于采用掺铒光纤放大器功放．采用相同放大倍数的分布托曼放大可使长距离系统中自相位调制导致的组合二阶失真性能改善10dB以上。因此可以得出结论：在长距离残留边带调幅凋制的有线电视系统中,采用分布式光纤拉曼放大可以较好地改善由自相位调制导致的组合二阶失真恶化。     

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：     

Nonlinear theory of nonparaxial laser pulse propagation in plasma channels

Nonparaxial propagation of ultrashort, high-power laser pulses in plasma channels is examined. In the adiabatic limit, pulse energy conservation, nonlinear group velocity, damped betatron oscillations, self-steepening, self-phase modulation, and shock formation are analyzed. In the nonadiabatic limit, the coupling of forward Raman scattering (FRS) and the self-modulation instability (SMI) is analyzed and growth rates are derived, including regimes of reduced growth. The SMI is found to dominate FRS in most regimes of interest.     

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。     

Performance limit of a multi-frequency probe based coherent optical time domain reflectometry caused by nonlinear effects

The nonlinear effects that limit the performance of the multi-frequency probe(MFP)based coherent optical time domain reflectometry(C-OTDR)are investigated.Based on theoretical analysis and experimental results,compared with conventional C-OTDR,when the probe pulse has power gradient within the pulse width,self-phase modulation(SPM)and cross-phase modulation(XPM)are strengthened in the new C-OTDR scheme.The generation of four-wave mixing(FWM)is dependent on SPM and XPM,and with modulation frequency of phase modulator higher than 40 MHz,the stimulated Brillouin scattering(SBS) threshold can be enhanced by more than 5 dB,which benefits the maximum dynamic range of the MFP C-OTDR.