双折射对孤子传输的影响及其相互作用控制

利用对称分步傅里叶法,数值研究了双折射光纤中孤子的传输特性,分析了孤子脉冲的入射偏振角为30°时两偏振分量群速度失配对孤子传输产生的影响。结果表明,光纤的双折射大小影响着脉冲峰值对时间的漂移程度,双折射越大,峰值漂移越多。如果光纤的双折射具有随机性,峰值漂移被修正,孤子传输的两偏振分量脉冲强度会随着传输距离有强弱不规则的变化,但是两偏振分量的强度变化互相补充,合成强度没有太大的变化,孤子能够稳定的传输。非线性增益可以有效地抑制随机双折射对孤子传输相互作用的影响,使得原本会产生交叠走离的相邻孤子传输不偏离原来的时间槽,实现了对偏振模色散良好的控制作用。     

随机双折射光纤中基于孤子俘获效应的偏振模色散的抑制

利用分步傅里叶方法数值解耦合非线性薛定谔方程组,研究了孤子脉冲和高斯脉冲在随机双折射光纤中的传输特性.研究结果表明:当脉冲的入射功率大于一定阈值时,两偏振分量能相互捕捉并以相同速度传输.这种现象就是俘获效应,它能有效地抑制偏振模色散.     

阶跃光纤中相近频率传输区域的调制不稳定性

利用激光脉冲在光纤中传播时所遵守的相干非线性薛定谔耦合方程,研究了非线性双折射色散阶跃光纤(SWDF)中两相近频率的激光脉冲,其偏振方向相互正交且平行于光纤的双折射轴,且偏振方向沿2个双折射轴的分量强度相等时,在同为反常色散区和正常色散区所产生的调制不稳定性.结果表明,在反常非线性区和正常色散区都能产生调制不稳定性;在正常色散区存在不同的调制不稳定性功率区域,对应不同的功率区域导致增益谱表现出明显的不同,并且,当输入功率和波长差(或频率差)一定时,增益谱随传输距离变化保持形态不变.     

高双折射光纤中矢量调制不稳定性

利用光脉冲在光纤中传播时所遵守的相干非线性薛定谔耦合方程,研究了偏振方向沿两个双折射轴的分量强度相等时,在反常色散区和正常色散区所产生的调制不稳定性.结果表明在反常色散区和正常色散区,对应不同的功率区域输入脉冲有不同的增益谱,并且当双折射性质变化时导致增益谱表现出明显的不同.     

非线性增益随机变化对暗孤子分布放大传输系统的影响

利用守恒量扰动法，研究了暗孤子分布放大传输系统中非线性增益随机变化对暗孤子脉冲到达检测窗口时间抖动，传输系统误码率的影响。结果表明：非线性增益随机变化对暗孤子速度产生了影响，与放大器噪声联合作用增大了暗孤子脉冲到达时间的抖动，恶化了系统的误码率，限制了系统的传输距离，削弱了非线性增益对暗孤子到达时间的抖动抑制作用。     

非线性Schr(o)dinger方程在高速光孤子传输系统中的应用

为了进一步研究高速光孤子脉冲传输系统的特性,采用分步傅里叶方法对非线性薛定谔方程进行求解.数学分析及计算机仿真表明,脉冲的传输特性随偏振膜色散参量值的增加而恶化.最后分析了孤子间的相互作用,并提出了改善光孤子传输系统性能的解决方法.     

强双折射色散缓变光纤中偏振调制不稳定性

利用光脉冲在光纤中传播时所遵守的相干非线性薛定谔耦合方程,研究了偏振方向沿两个双折射轴的分量强度相等时,在色散缓变光纤中反常色散区和正常色散区所产生的调制不稳定性。结果表明在反常色散区和正常色散区,随传输距离的增加调制功率区域加宽,对应不同的功率区域输入脉冲有不同的增益谱,并且当输入脉冲功率一定时,随传输距离的增加导致增益谱表现出明显的不同。     

非线性高双折射色散缓变光纤中矢量调制不稳定性

利用光脉冲在光纤中传播时所遵守的相干非线性薛定谔耦合方程,研究了在偏振方向 沿两个双折射轴的分量强度相等时,色散缓变光纤中反常色散区和正常色散区所产生的调制不稳定性。结果表明在反常色散区和正常色散区,随传输距离的增加调制功率区域加宽,对应不同的功率区域输入脉冲有不同的增益谱,并且当输入脉冲功率一定时,随传输距离的增加导致增益谱表现出明显的不同。     

双折射光纤中三阶色散对孤子稳定性的影响

本文研究了单模光纤中双折射效应和高阶色菜和效应对弧 子传输稳定性影响。研究结果表明：线性双折射所导致的两偏振孤子分离的振幅阈值三阶色散的影响而增大,如果增大脉冲 振幅的阈值以上,那么两个垂直方向的偏振孤子将锁定在一起传输。     

脉冲内拉曼散射效应影响下高阶孤子之间的相互作用及其控制

在脉冲内拉曼散射效应影响下,研究了同相和反相相邻高阶孤子脉冲之间的相互作用,分析了孤子之间的相互作用对定时抖动的影响和脉冲内拉曼散射效应所引起的孤子脉冲频移.研究结果表明;在脉冲内拉曼散射效应的影响下,同相和反相高阶孤子脉冲对都发生了分裂,分裂出的两个较强的孤子脉冲在传输过程中发生碰撞,碰撞后两脉冲迅速分离;二者的不同之处在于反相孤子脉冲对分裂出来的两个较强脉冲之间的相互作用较弱,其碰撞距离明显远于同相孤子脉冲对.引入非线性增益可以有效控制孤子之间的相互作用,抑制孤子自频移效应,稳定孤子传输.     

Time Jitters Caused by Randomly Varying Birefringence in Soliton Transmission System

Soliton propagation in fiber with randomly varying birefringence is studied by using self-companying operator method. It is shown that randomly varying birefringence leads to time jitters increasing with transmission distance, and disrupts the stability of soliton transmission. The fluctuation of time jitters is stochastic, and nonlinear gain is introduced to remove the influence.     

Propagation of solitons in fibers with randomly varyingbirefringence: effects of soliton transmission control

Propagation of solitons in fibers with randomly varying birefringence is studied with and without including the effect of soliton transmission control. A simple expression for the decay of soliton energy due to the birefringence is derived, which will be useful in predicting soliton-pulse broadening in randomly birefringent fibers with their polarization-mode dispersion parameter specified. It is also shown that transmission control of solitons effectively removes dispersive radiations generated by the birefringence     

Influence of Randomly Varying Birefringence on Soliton Switching

In this paper, the effects of the randomly varying birefringence on soliton switching in the twin-core fiber are discussed through a nonlinear coupling equation , some novel and useful results on soliton switching are obtained.     

Application of the Manakov-PMD equation to studies of signalpropagation in optical fibers with randomly varying birefringence

We report on our investigations of the Manakov-polarization mode dispersion (PMD) equation which can be used to model both nonreturn-to-zero (NRZ) and soliton signal propagation in optical fibers with randomly varying birefringence. We review the derivation of the Manakov-PMD equation from the coupled nonlinear Schrodinger equation, and we discuss the physical meaning of its terms. We discuss our numerical approach for solving this equation, and we apply this approach to both NRZ and soliton propagation, We show by comparison with the coupled nonlinear Schrodinger equation, integrated with steps that are short enough to follow the detailed polarization evolution, that our approach is orders of magnitude faster with no loss of accuracy. Finally, we compare our approach to the widely used coarse-step method and demonstrate that the coarse-step method is both efficient and valid     

色散控制孤子系统中光纤偏振模色散的滤波控制

本文研究高速OTDM色散控制孤子系统偏振模色散的影响及其滤波控制.首先建立了同时考虑偏振模色散和滤波控制时的DMS传输方程,其次采用变分法给出了滤波控制常双折射光纤中DMS传输方程的变分解,求得了DMS的特征参数的传输演化规律,然后研究了滤波控制随机双折射光纤中DMS传输稳定性问题及其定时抖动规律.最后基于变分所得定时抖动公式,分析了三种不同系统的定时抖动,显示了DMS系统中用滤波器抑制PMD时,对高速光孤子通信性能的影响是非常有效的.     

Nonlinear optical loop mirror based on standard communication fiber

We numerically analyze the effectiveness of a nonlinear optical loop mirror (NOLM) based on standard communication fiber with randomly varying birefringence for demultiplexing streams of picosecond pulses at 100 GHz. A broad switching window of about three pulse full-width at half maximum (FWHM) can be obtained. The device performance is defined by the pulse duration, the dispersion of the fiber, and the fiber length. We show that imperfect averaging of the randomly varying birefringence causes amplitude fluctuations on the NOLM transmission curve. We also show that the Raman self-frequency shift does not affect the NOLM switching characteristics at picosecond pulse durations     

Complete characterization of terahertz pulse trains generated fromnonlinear processes in optical fibers

The measurement technique of frequency-resolved optical gating (FROG) is used to characterize the intensity and phase of terahertz pulse trains generated from nonlinear and dispersive interactions in optical fibers. We show that existing FROG retrieval algorithms are easily adapted to allow the retrieval of periodic pulse characteristics and, using synthetic pulse trains generated from numerical simulations, we demonstrate how FROG can differentiate between periodic pulse trains with fundamentally different intensity and phase characteristics, yet qualitatively similar autocorrelation functions and spectra. Experimental results are presented for the FROG characterization of a 0.3-THz sinusoidal beat signal from a dual wavelength laser source, a 2.5-THz train of dark solitons generated in a high-birefringence fiber, and a 0.6-THz bright polarization domain wall soliton train generated in an ultra-low birefringence fiber. These results are shown to be in good agreement with nonlinear Schrodinger equation simulations     

Special erbium fiber amplifiers for short pulse switching, lasers,and propagation

We show that specially tailored erbium-doped fiber amplifiers (EDFA's) can be useful for short-pulse soliton lasers, switching, and propagation. EDFA properties include group-velocity dispersion, birefringence, doping level, and doping distribution; and changing each of these properties enables novel applications. Polarization-maintaining EDFA's can Re used in erbium-doped fiber lasers to avoid intensity-dependent or temperature-dependent state of polarization. We have demonstrated a passively mode-locked erbium-doped fiber laser that generates nearly transform-limited 320 fs pulses with 40 pJ energy using a polarization-maintaining EDFA near the zero dispersion wavelength and a bulk InGaAsP saturable absorber. Moderately birefringent EDFA's can be used to control the walkoff and interaction between orthogonally polarized solitons in all-optical switches. For example, through numerical simulations, we design an all-optical cascadable logic gate with a fanout of 2.7 and energy contrast of 5.5 based on interactions in a soliton period long EDFA. Furthermore, distributed EDFA's can be used for long-distance soliton propagation to shepherd the pulse using bandwidth-limited gain. For picosecond soliton pulses, we show that soliton self-frequency shift and Gordon-Hans effects limit propagation to below 100 km even for low-dispersion fibers. Bandwidth-limited amplification in EDFA may counteract frequency shift due to the soliton self-frequency shift, while frequency filters may suppress the Gordon-Hans effect. Also, because the gain spectral profile for the three-level EDFA changes with pump intensity, complications arise from pump attenuation, and the corresponding changes in the gain spectral profile along the length of the fiber     

光学孤子在单模光纤中的非线性传输方程

人们熟知,由非线性薛定谔(NLS)方程描述的光学孤子可以在单模光纤中稳定地传输。本文在准单色近似和慢变包络近似条件下,利拥泰勒级数展开推出了这一非线性传输方程。由于推出的方程包含着高阶线性色散和光纤损耗项,因而可以用来研究短光脉冲(皮秒量级)在单模光纤传输过程中相关的非线性光学孤子效应,比如光学孤子分裂和光学孤子损耗等。