共查询到17条相似文献,搜索用时 125 毫秒
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以变系数的非自治非线性薛定谔方程为模型,考虑了一种色散、非线性和自发拉曼散射效应管理下的非自治系统,通过简单变换显式给出了该系统的精确非自治拉曼多色孤子解。基于精确孤子解,解析研究了该拉曼多色孤子在非自治管理系统中的演化特性,发现孤子的中心位置、波数与色散和非线性以及拉曼效应有关,而孤子频移仅与拉曼效应的参数决定,拉曼效应主导了非自治孤子的自频移,引起了孤子的频移在传输过程中不断的发生变化,导致了孤子的多色性。另外,我们数值讨论了该非自治孤子的传输稳定性,结果表明:该非自治拉曼多色孤子在有限的扰动下具有较好的稳定性。 相似文献
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《光学学报》2016,(7)
运用分步傅里叶变换法对适用于超短艾里脉冲的高阶耦合非线性薛定谔方程进行了求解,利用Matlab软件对超短艾里脉冲在单模光纤中传输时相互作用的演化过程进行了数值模拟。结果表明,负三阶色散效应可加快波包的渗透速度,超短脉冲可传输更远距离;正三阶色散效应可减慢超短脉冲的传输,当三阶色散系数足够大时脉冲前沿处的振荡转移到后沿处。自陡峭效应通过孤子分裂的形式使超短脉冲产生时域位移,内拉曼效应导致脉冲在波长较长一侧产生拉曼自频移,且超短脉冲的能量由前沿处转移到后沿处。自陡峭效应和内拉曼效应的共同作用导致超短脉冲产生时域位移且脉冲前沿处的能量会转移到后沿处。三阶色散效应、自陡峭效应、内拉曼效应三者同时存在时会显著影响超短艾里脉冲相互作用的自弯曲特性和自加速特性。 相似文献
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以描述负折射材料中包含拉曼效应的高阶非线性薛定谔方程为模型,采用分步傅里叶算法数值分析了高阶效应,尤其是饱和非线性效应对自聚焦负折射率材料中的孤子拉曼自频移的影响。结果表明,在自聚焦负折射率材料中饱和非线性效应使孤子拉曼自频移速度加快;饱和非线性效应与负的自陡效应共同作用进一步加快孤子自频移的速度;饱和非线性效应同正的自陡效应、三阶色散效应共同作用时孤子拉曼自频移在整体上受到抑制。 相似文献
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可调谐中红外飞秒光纤激光器具有非常普遍的应用,从而引起了人们的广泛关注。目前,非线性光纤中的拉曼孤子自频移效应是实现大范围可调谐飞秒脉冲激光的理想方法之一。然而,非线性光纤中其他高阶非线性效应的产生通常会限制拉曼孤子脉冲的能量提升。本文提出了利用有源掺杂光纤作为非线性介质和增益介质实现可调谐大能量中红外飞秒激光脉冲的方法。在理论上研究了有源掺杂非线性光纤中高阶孤子劈裂和孤子自频移效应的产生,以及线性增益对波长移动拉曼孤子能量、脉宽、光谱的影响。结果表明,通过为波长红移的低能量拉曼孤子提供线性增益,孤子脉冲的能量得到了显著提升且保持了其单脉冲特性,脉冲宽度为45 fs,且孤子脉冲的波长可通过所提供的增益进行大范围调谐。因此,利用有源掺杂光纤作为非线性介质是实现大能量可调谐中红外飞秒脉冲激光的一种有效方法。 相似文献
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在色散位移光纤中,研究了三阶色散影响下同相和反相二阶孤子之间的互作用,分析了同相和反相二阶孤子对衰变后时域波形和频域频移的变化,发现三阶色散使二阶孤子分裂出一大一小两个不同振幅的基阶孤子,并彼此分离,但孤子对中心频率频移量却减小。通过采用非线性增益控制的方法可以有效抑制二阶孤子间的互作用,使孤子保型传输而不发生衰变。同时通过周期性改变三阶色散系数,可以减小三阶色散的不利影响,抑制孤子中心频率的频移,使孤子对不偏离原来时间槽,稳定孤子传输。 相似文献
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孤子光纤中拉曼自频移效应的研究 总被引:1,自引:1,他引:0
首次报道孤子光纤中拉曼自频移效庆的研究结果。对满足孤子光纤色散关系条件时含损耗,拉曼延迟效应的广义非线性薛定谔方程进行了微扰分析。求得了拉曼自频移关系表达式。发现改变光纤几何参数可以有效地控制孤子拉曼自频移。 相似文献
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光孤子脉冲在光纤放大器中的传播 总被引:3,自引:1,他引:2
本文建立了包括增益色散,受激喇曼散射,双光子吸收效应的理论模型,讨论了光孤子脉冲在光纤放大器中的传播.数值计算结果表明:在反常色散范围内,光孤子的放大是不稳定的.增益色散导致光脉冲对称分裂,而受激喇曼散射则导致不对称的分裂.在增益色散和受激喇曼散射的共同作用下可获得新的时域和频域特征.有限带宽的放大能抑制受激喇曼散射引起的自频移.本文对有啁啾的光孤子脉冲的放大也进行了分析. 相似文献
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Shu-Wen Guan 《中国物理 B》2022,31(8):80506-080506
We investigate the oscillation periods of bright soliton pair or vector bright soliton pair in harmonic potentials. We demonstrate that periods of low-speed solitons are greatly affected by the position shift during their collisions. The modified oscillation periods are described by defining a characterized speed, with the aid of asymptotic analysis on related exact analytic soliton solutions in integrable cases. The oscillation period can be used to distinguish the inter- and intra-species interactions between solitons. However, a bright soliton cannot oscillate in a harmonic trap, when it is coupled with a dark soliton (without any trapping potentials). Interestingly, it can oscillate in an anti-harmonic potential, and the oscillation behavior is explained by a quasi-particle theory. The modified period of two dark-bright solitons can be also described well by the characterized speed. These results address well the effects of position shift during soliton collision, which provides an important supplement for previous studies without considering phase shift effects. 相似文献
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The effect of intrapulse Raman scattering (IRS) for the propagation of the femtosecond solitons in an optical fiber is investigated. To factually simulate its influence, a combination of 27 Lorentian lines to fit experimental Raman gain profile is adopted. By using nonlinear Schrödinger equation and finite-difference time domain method, the propagations of femtosecond fundamental solitons in an optical fiber are numerically calculated. When the initial power is suitably enhanced, it is found that the pulse shape is almost the same as initial pulse and the delay Raman response only makes small pulse shift. In other words, when ultrashort soliton is considered, the IRS effect is similarly frozen under the enhanced initial power. 相似文献
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Coherent soliton packets generated in a passively mode-locked fiber laser are transmitted through 23km of dispersion-decreasing fiber. We observe a shift of the phase difference between solitons that is due to intrapulse Raman scattering. We attribute the stability in propagation of these trains to a trade-off between minimizing soliton-soliton interactions by reduction of the pulse width and minimizing this Raman-induced phase migration, which can force the solitons into a deleterious attractive phase relationship. We are thus able to demonstrate the propagation of 177-Gbit/s soliton packets over a distance of 123 soliton periods. 相似文献
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内脉冲拉曼散射效应对暗孤子传输系统的影响及其抑制 总被引:1,自引:0,他引:1
利用守恒量扰动法,研究了内脉冲拉曼散射效应对暗孤子脉冲到达检测窗口时间抖到、传输系统误码率的影响。结果表明,内脉冲拉曼散身效应对暗孤子速度产生了影响,引起了暗孤子传输系统的平衡点漂移,并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。引入非线性增益可以有效3内脉冲拉曼散身效应对暗孤子传输系统的不良影响。 相似文献
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A method for transforming fast solitons into slow ones in bandgap fibers is proposed. The approach is based on the deceleration of the solitons by intrapulse Raman scattering, which can be achieved for fiber modes having a cutoff frequency. We develop a comprehensive theory for the soliton slowdown and elucidate how the fiber losses introduce a fundamental minimum for the soliton velocity. 相似文献
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An easy and general way to access more complex soliton phenomena is introduced in this paper. The collision process between two solitons of the KdV equation is investigated in great detail with this novel approach, which is different from the sophisticated method of inverse scattering transformation. A more physical and transparent picture describing the collision of solitons is presented. 相似文献