非均匀系统中非自治孤子的色散和非线性管理

基于包含自发拉曼散射和外电光调制效应的非自治非线性薛定谔方程,采用简单的变换方法,解析研究了三种非均匀系统中非自治孤子的管理和传输。结果发现,在非均匀的非线性渐增或色散渐减光纤系统中都存在精确的啁啾非自治孤子解,都可以实现孤子的放大和压缩,但具有不同的速度、频移和啁啾特性;而在非均匀的色散和非线性均渐减光纤系统中,可以支持无啁啾的非自治孤子,该孤子具有不变的脉宽和振幅以及振荡衰减的速度,孤子的频移仅由自发拉曼散射决定。同时,数值模拟结果进一步证实在三种非均匀管理系统中都可支持非自治孤子的传输。该研究结果为实际非均匀孤子管理系统中实现孤子的压缩和传输提供了理论依据。     

High-order soliton generation in dispersion flattened fiber

By using the amplified 10-GHz, 5.5-ps sech2 pulses with high quality and chirp-free from regeneratively mode-locked fiber laser (RMLFL) as the soliton source, 2-5 order optical soliton phenomena are observed successfully in a 4.28-km dispersion flattened fiber. The experimental results agree well with the theoretical calculation.     

True fundamental solitons in a passively mode-locked short-cavity Cr(4+):YAG laser

We demonstrate a self-starting, passively mode-locked short-cavity Cr(4+):YAG laser that supports fundamental intracavity solitons over wide ranges of cavity group-velocity dispersion and pulse energies. The total dispersion and nonlinear effects are small enough that stable, N=1 soliton pulses are generated. Equally spaced multiple pulsing is also observed, with fundamental soliton behavior preserved. Regions of bistability exist where, at a constant cavity dispersion, the laser can produce transform-limited pulses of a different width and energy. The laser produces 200-fs pulses at approximately 0.9-, 1.8-, and 2.7-GHz repetition rates with a total of 82 mW of average output power.     

Recent progress in soliton transmission technology

Recent progress on time-division multiplexed (TDM) and wavelength-division multiplexed (WDM) soliton transmission is described, in which dispersion management plays an important role in increasing the power margin and the dispersion tolerance. The characteristics of the dispersion-managed soliton are compared with those of return to zero and nonreturn to zero pulses. With a small dispersion swing, the system can still be described as an average soliton using the nonlinear Schrodinger equation, while with a large dispersion swing, the solitonlike steady-state pulse becomes a chirped Gaussian pulse, in which the governing equation is closer to a linear Schrodinger equation with a parabolic potential well. We describe an in-line modulation scheme for up to 80 Gbit/s per channel and its two channel WDM transmission over 10 000 km. Finally, we describe 640 Gbit/s (40 Gbit/sx16 channels) WDM soliton transmission over 1000 km with a dispersion-managed single-mode fiber. (c) 2000 American Institute of Physics.     

Magnetic Kronig-Penney-type graphene superlattices: finite energy Dirac points with anisotropic velocity renormalization

We study the energy band structure of magnetic graphene superlattices with delta-function magnetic barriers and zero average magnetic field. The dispersion relation obtained using the T-matrix approach shows the emergence of an infinite number of Dirac-like points at finite energies, while the original Dirac point is still located at the same place as that for pristine graphene. The carrier group velocity at the original Dirac point is isotropically renormalized, but at finite energy Dirac points it is generally anisotropic. An asymmetry in the width between the wells and the barriers of the periodic potential induces a shift of the original Dirac point in the zero-energy plane, keeping the velocity renormalization isotropic.     

Chirped and chirp-free self-similar cnoidal and solitary wave solutions of the cubic-quintic nonlinear Schrödinger equation with distributed coefficients

By means of the similarity transformation connecting with the solvable stationary cubic-quintic nonlinear Schrödinger equation (CQNLSE), we construct explicit chirped and chirp-free self-similar cnoidal wave and solitary wave solutions of the generalized CQNLSE with spatially inhomogeneous group velocity dispersion (GVD) and amplification or attenuation. As an example, we investigate their propagation dynamics in a soliton control system.     

Long-distance 40-Gbit/s soliton transmission over standard fiber by use of dispersion management

We demonstrate, through numerical simulations, the possibility of transmitting solitonlike pulses over 2000 km of standard fiber at a single-channel data rate of 40 Gbits/s. The system used here employs a novel dispersion map to overcome the large fiber dispersion. The longest transmission distance was achieved with pulses that did not exhibit the enhanced energy normally associated with dispersion management and indeed had lower energy than an equivalent average soliton.     

Intrachannel pulse interactions in dispersion-managed transmission systems: timing shifts

Nonlinear intrachannel interactions responsible for timing shifts in a transmission system with strong periodic dispersion management are investigated. Formulas describing the evolution of the timing shift are obtained for general bit patterns. When average dispersion is negligible, the timing shift is shown to grow linearly in distance in a system with loss and lumped amplification, whereas in a lossless system the timing shift is sufficiently small at every chirp-free point. The analysis agrees with direct numerical simulations.     

On the behaviour of dispersion-managed soliton from the perspective of its energy components

We investigate the behaviour of dispersion-managed (DM) soliton from its energy. Using the variational analysis, it is possible to represent the energy of the DM soliton as a combination of three components, respectively, one component for the average dispersion of the optical fiber, second component for the local dispersion of the dispersion map and the third component for the Hamiltonian of the anomalous fiber section. From the results of the numerical simulations, we show that the Hamiltonian component of the DM soliton energy plays a vital role in the determination of its stability.     

Gaussian soliton generation using a 1.3 μm optical pulse in a micro-ring resonator for a new DWDM enhancement

We present a novel system of a Gaussian soliton generation using a 1.30 μm optical pulse in a nonlinear micro-ring resonator system, which can be used to form the soliton pulse trains within the new wavelength band. By using the suitable parameters, the soliton pulse trains with the center wavelength at 1.30 μm can be generated after the intense Gaussian pulse is input into the nonlinear micro-ring resonator system. The initial pulse bandwidth is enlarged and the signal amplified by the nonlinear Kerr effects type within the ring resonator. The simulation values are used associating with the practical device parameters, whereas the obtained results have shown that the wavelength enhancement of the center wavelength can be achieved. Furthermore, the maximum soliton output power of 12 W is obtained, which is available to perform the long-distance communication link. The common problem of soliton dispersion is minimized by the zero dispersion condition in this case. The major advantage of the proposed system is that the dense wavelength division of the center wavelength with the spectral width of 7.0 pm (10⁻¹⁵ m) and the free spectrum range of 400 pm can be generated and achieved. This is available for the used/installed wavelength enhancement, which can provide more available channel capacity in the existed public optical network.     

实现20Gbit/s的OTDM孤子信号56km色散位移光纤的传输

在国内最先采用孤子的方式将8×2.5Gb/s的OTDM信号在色散位移光纤中传输了56.1km,对8×2.5Gb/s的OTDM进行解复用后进行了误码测量,系统功率代价为2.9dB.系统采用增益开关半导体激光器作光孤子源,高Q电滤波方式提取时钟,非线性光学环路镜解复用。孤子脉冲最大半宽度为20ps,传输光纤平均色散1.2ps/nm/km。     

导引中心“呼吸”孤子传输理论及数值分析

采用导引中心理论分析了色散管理孤子系统,证明了色散控制孤子（DMS）传输的稳定性,同时,给出了"呼吸"色散管理孤子的稳定传输条件.结合数值计算方法研究了DMS参量如幅度、脉宽、啁啾以及脉冲能量在色散管理周期内演化特性,该结果传输系统的稳定传输的特性,从而不但验证了导引中心"呼吸"孤子传输理论的结果,而且证明DMS在不同的平均路径色散条件下的鲁棒性.     

Phase jitter in periodically dispersion-managed optical transmission systems

We investigate the phase jitter in long-haul optical transmission systems with periodic dispersion management and amplification. We compare different dispersion-managed soliton systems and a conventional soliton system having the same pulse width and path-averaged dispersion. Using the variational method, we derive the ordinary differential equations for the pulse parameters perturbed by amplifier noise and hence calculate the phase jitter. We verify the analytical results by numerically solving the nonlinear Schrödinger equation using split-step Fourier algorithm. The results suggest that the reduction of nonlinear phase noise in dispersion-managed soliton systems is possible compared to a conventional soliton system. It is also revealed that the phase noise is enhanced in stronger dispersion-managed systems. We also explore the phase noise effect in dispersion-managed quasi-linear systems and find that phase jitter is mitigated in highly dispersive fibers.     

Gap solitons in a two-channel microresonator structure

We show that, when two channel waveguides are coupled by a sequence of periodically spaced microresonators, the group-velocity dispersion is low in the vicinity of the gap associated with the resonant frequency of the resonators. This low dispersion permits the excitation of a gap soliton with much lower energy than in a gap of similar width caused by Bragg reflection.     

The quantum lifetime of the Davydov soliton

Considering an infinite spine in the Alpha-helix, stationary states should be eigenstates of a translational operator. These states should be nonlocalized in contradiction to a localized soliton. The difference in energy between localized and nonlocalized (Bloch) states is due to zero point motion and gives information about the quantum stability of the Davydov soliton. We develop a theory of statinary states and show that only for the limiting case of a classical lattice the product ansatz by Davydov is exact. Finally, we calculate the width of the soliton band to get information on the lifetime of the localized soliton.     

高功率2 μm波长可调谐超短脉冲光纤激光器

高功率2 μm波长可调谐的超短脉冲激光具有峰值功率高、脉冲宽度窄、波长可调谐等优势,在医疗手术、大气通信、光电对抗等领域具有广泛的应用。利用高峰值功率的掺铒光纤放大器泵浦高非线性光纤,在全光纤化结构中获得了1895～2165 nm可调谐的拉曼孤子输出。采用啁啾脉冲放大技术对拉曼孤子的脉冲能量进行提升,放大后拉曼孤子的单脉冲能量为1.56 μJ,平均功率达到50.6 W,脉冲宽度为83 ps。经过光栅对压缩后,脉冲宽度降低至1.23 ps,平均功率为22 W,峰值功率达到0.55 MW。放大后的脉冲仍具有波长调谐的能力,当输出功率为5 W和50.6 W时,脉冲的波长调谐范围分别为38 nm和8 nm。     

Soliton interaction in birefringent optical fibers: Effects of nonlinear gain devices

This paper presents the influences of polarization mode dispersion (PMD) on the performance of soliton transmission system in birefringent fibers. Dispersive waves generated in single mode fibers due to PMD degrade the soliton transmission system in two aspects. First, solitons continuously lose their energy, thus cause enhancement in pulse width. Second, the dispersive waves interact with neighboring pulses and cause distortion in a sequence of pulses. Both these effects reduce the effective bit-rate and degrade the performance of high-speed optical transmission systems. Optical fibers with large group velocity dispersion (GVD) have less dispersive waves and are relatively robust to pulse broadening, but it enhances the interaction between the adjacent pulses. In this paper, we analyzed these effects of PMD on soliton propagation in birefringent fibers and introduced nonlinear gain devices with perturbation terms proportional to second and fourth power of amplitudes to reduce these effects. We proposed Symmetric Split-Step Fourier Method to solve the coupled nonlinear Schrödinger equations (CNLSE); which yields better results over the existing Split-Step Fourier Method.     

The Evolution Feature of Chirp-Dark Soliton in Single-Mode Fiber

The evolution feature of the injected initial-chirp tanh-dark soliton in single-mode fiber is studied in this paper. We analyze the evolution of amplitude, pulse width, frequency chirp and center position shift of dark soliton along with the variation of propagation distance, primarily using Lagrange-Euler's formula and taking the high-order dispersion as perturbation. The results show that the amplitude and pulse width of chirp-dark soliton are all oscillating around a certain critical distance in ideal fiber (β = 0), and the high-order dispersion conduces to generate the asymptotic dark soliton.     

Solitons evolving toward few-and single-cycle pulses in photonic-crystal fibers

Numerical analysis of soliton dynamics in highly nonlinear photonic-crystal fibers reveals intriguing scenarios enabling efficient pulse compression down to single-cycle field waveforms. We derive simple analytical expressions relating the pulse width and the energy of ultrashort pulses generated through such a field-evolution dynamics to the fiber dispersion and nonlinearity.     

Femtosecond soliton generation induced by intrapulse stimulated Raman scattering in optical fibers

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