调制深度引导CO_2激光器到达混沌

从描述CO2激光器的非线性方程出发,构造一种具有调制损耗的新动力学系统,并从理论上分析了这种调制损耗的CO2激光器的动力学行为。结果表明,在调制深度的引导下,系统由单一稳定输出转变为不稳定运行,呈现2nP倍周期振荡态及混沌态。     

高速多量子阱激光器混沌保密通信系统研究

研究了外部光注入高速多量子阱激光器激光混沌全光保密通信系统,导出系统同步方程,理论证明并数值实现了系统的同步,分析了增加反馈系数以缩短同步时间且增强系统同步稳定性的方法。研究分析了多量子阱激光器混沌隐藏和混沌键控保密通信全光调制解调系统模型,数值模拟了具有正弦调制信号的调制频率0．2GHz混沌模拟保密通信和数字信号调制速率20Gb／s的混沌数字保密通信以及调制速率0．05Gb／s混沌键控保密通信的应用,系统确实具有较高的保密性能和反破译能力;分析了混沌数字信号保密通信调制带宽20Gb／s调制解调时的同步误差以及混沌键控调制速率,系统都具有非常好的调制解调特性,且在高速混沌通信中,系统解调具有相对较小的同步误差,而1Gb／s是混沌键控通信的速率上限。     

Synchronization of chaotic VCSELs by external chaotic signal parameter modulation

Synchronization of chaotic vertical-cavity surface-emitting lasers （VCSELs） is achieved by external chaotic signal modulation successfully. Simulation indicates that we can get chaos synchronization if the intensity of external chaotic signal is large enough. First of all, we use direct current modulation to achieve the chaos of VCSELs, and determine the laser＇s chaotic state by analyzing time series of the output and the corresponding power spectrum. And then we achieve synchronization of the two chaotic systems by external chaotic signal parameter modulation. We also find that the larger the modulation intensity is, the easier it is to achieve synchronization for chaotic VCSELs. This approach can also be applied to systems with a number of modulated lasers.     

简并光学参量振荡器混沌反控制

提出一种实现简并光学参量振荡器混沌反控制的方法，用正弦信号调制简并光学参量振荡器的基模衰减率，使简并光学参量振荡器从定态输出转化为混沌态.数值模拟结果表明，选择不同的调制幅度和调制角频率，只要满足系统的最大李雅谱诺夫指数大于零，即可实现不同的混沌轨道重构.通过比较最大李雅谱诺夫指数λ_max随调制幅度和调制角频率变化曲线， 指出系统从周期态调制到混沌态比从无亚谐波输出的定态调制到混沌态更容易，有更宽的调制幅度和调制角频率选择范围. 关键词： 简并光学参量振荡器 混沌反控制 调制     

高斯切趾型光纤布拉格光栅外腔半导体激光器的混沌输出特性

基于光反馈半导体激光器(SL)速率方程模型,理论仿真研究了高斯切趾型光纤布拉格光栅(GAFBG)反馈SL(GAFBGF-SL)混沌输出的延时特征(TDS)以及混沌带宽特性.结果表明:随着反馈强度的增加,GAFBGF-SL表现出由准周期进入混沌的动力学演化路径;通过合理选择GAFBG布拉格频率与SL中心频率之间的频率失谐及反馈强度,GAFBGF-SL混沌输出的TDS能得到有效抑制(低于0.02);通过进一步绘制混沌信号TDS及带宽在GAFBG布拉格频率与SL中心频率之间的频率失谐和反馈强度构成的参量空间中的分布图,确定了获取弱TDS、宽带宽光混沌信号的参数范围.     

Synchronization of homoclinic chaos

Homoclinic chaos is characterized by regular geometric orbits occurring at erratic times. Phase synchronization at the average repetition frequency is achieved by a tiny periodic modulation of a control parameter. An experiment has been carried on a CO(2) laser with feedback, set in a parameter range where homoclinic chaos occurs. Any offset of the modulation frequency from the average induces phase slips over long times. Perfect phase synchronization is recovered by slow changes of the modulation frequency based upon the sign and amplitude of the slip rate. Satellite synchronization regimes are also realized, with variable numbers of homoclinic spikes per period of the modulation.     

损耗调制型掺铒光纤环形激光器混沌现象的实验研究

报道了损耗调制型掺铒光纤环形激光器中的混沌现象.在单频损耗调制型掺铒光纤环形激光器中,改变调制频率或调制电压,观察到倍周期分岔和阵发两种进入混沌途径的共存现象,与抽运调制型掺铒光纤环形激光器的实验结果相一致.提出了一种采用两个正弦信号驱动的损耗调制型掺铒光纤环形激光器,在调制信号频率比近似等于黄金分割数和白银分割数时,增加调制电压,发现激光器通过准周期途径进入混沌.当调制信号两频率比不同时,发生转变所需的调制电压也不同. 关键词： 掺铒光纤环形激光器 混沌 倍周期分岔 准周期     

Decryption characteristics in message modulation type chaos secure communication system using optical fiber ring resonators

Message modulation type chaos secure communication system using optical fiber ring resonators is analyzed numerically. It is found that the decryption characteristics degrades monotonically as the differences in parameters which are not included in the linear phase term becomes large, while they degrade periodically with a period of 2π as the differences in parameters included in the linear phase term increase. When a noise is added in the input light, the error dispersion in the message demodulation is determined by the noise level in the small parameter difference region, while the parameter differences it dominates in the large parameter difference region. Best decryption characteristics are always obtained at the minimum input power for the chaos generation, i.e., at the lowest Lyapnov exponent in chaos state in the message modulation type chaos secure communication system using optical fiber ring resonators.     

Model for modulated and chaotic waves in zero-Prandtl-number rotating convection

The effects of time-periodic forcing in a few-mode model for zero-Prandtl-number convection with rigid body rotation is investigated. The time-periodic modulation of the rotation rate about the vertical axis and gravity modulation are considered separately. In the presence of periodic variation of the rotation rate, the model shows modulated waves with a band of frequencies. The increase in the external forcing amplitude widens the frequency band of the modulated waves, which ultimately leads to temporally chaotic waves. The gravity modulation, on the other hand, with small frequencies, destroys the quasiperiodic waves at the onset and leads to chaos through intermittency. The spectral power density shows more power to a band of frequencies in the case of periodic modulation of the rotation rate. In the case of externally imposed vertical vibration, the spectral density has more power at lower frequencies. The two types of forcing show different routes to chaos.      

Wideband chaos generation using a delayed oscillator and a two-dimensional nonlinearity induced by a quadrature phase-shift-keying electro-optic modulator

We present a new optoelectronic architecture intended for chaotic optical intensity generation. The principle relies on an electro-optic nonlinear delay dynamics, where the nonlinearity originates from an integrated four-wave optical interferometer, involving two independent electro-optic modulation inputs. Consequently, the setup involves both two-dimensional nonlinearity and dual-delay feedback dynamics, which results in enhanced chaos complexity of particular interest in chaos encryption schemes. The generated chaos observed with large feedback gains has a bandwidth ranging from 30 kHz to 13 GHz and is confirmed by numerical simulations of the proposed dynamical model and bifurcation diagram calculation.     

电光调制对外部光注入垂直腔表面发射激光器的偏振转换及其非线性动力学行为的操控性研究

针对主和副垂直腔表面发射激光器构成的外部注入激光器系统的偏振转换及其非线性动力学行为, 利用周期性极化铌酸锂晶体中准相位匹配线性电光调制, 本文提出了一种新的操控方案并且探索了其控制规律. 研究结果发现, 受到平行光注入或正交光注入的副激光器输出偏振度随外加电场成周期性振荡变化, 其振荡波峰轨迹包络曲线为正弦曲线, 而振荡波谷轨迹包络曲线为余弦曲线; 选取一定的主激光器偏置电流, 通过对来自主激光器的光进行电光调制, 受到两种方式注入的副激光器可以输出任意偏振模, 并且其非线性动力行为经历不同的演变. 另外, 副激光器的偏振度仅依赖于外加电场, 与副激光器的偏置电流无关.     

基于动态混沌映射的三维加密正交频分复用无源光网络

提出了一种基于混沌映射的三维加密正交频分复用无源光网络保密通信系统.该系统通过相关性检测锁定收发端混沌系统参数,实现收发双方混沌系统同步;并利用同步混沌系统生成密钥,实现符号扰动以及二重子载波加密.该加密方案的密钥空间超过10~(86),能够有效对抗穷举攻击.实验实现了13.3 Gb/s基于64进制正交幅度调制的加密正交频分复用信号在25 km标准单模光纤中的传输,并完成了信息的有效解密.     

Structures and chaos in parametric Rabi oscillations

In the strong-coupling limit, the nonlinear dynamics of interaction of two-level atoms with their own emission field in a cavity with a periodically modulated length was studied. An analytical analysis was made that shows the appearance of regions in the pseudophase space of Maxwell-Bloch equations that are responsible for the origin of dynamic chaos for the smallest possible modulation depth, and the homoclinic mechanism of their formation was revealed. In the model of a Rydberg maser with a modulated cavity, a special type of chaos was numerically discovered. This chaos, which was called structural, manifests itself under certain conditions in parametric oscillations of atomic population. On the one hand, these Rabi oscillations demonstrate sensitivity to initial conditions with a positive maximum Lyapunov exponent, and, on the other hand, they represent a signal with a long-term structure that is caused by modulation.     

Chaos generation in a semiconductor ring laser with an optical injection

Two chaos generation schemes are demonstrated numerically based on a semiconductor ring laser (SRL) with either a constant or a chaotic optical injection from an external distributed feedback (DFB) laser. Under a certain bias current, the chaotic output can be generated by the SRL with appropriate injection parameters. Parameter map is achieved numerically to show types of oscillation in the SRL. Bifurcation diagrams and Lyapunov exponent spectra roughly describe the routes to chaos for the SRL with disturbance. A bandwidth-enhanced chaos generation can be describes based on the chaotic optical injection scheme. The bandwidth of the bandwidth-enhanced chaos generated is about 12 GHz, which achieves approximately a two-fold increase compared with the constant injection scheme.     

Adaptation to the edge of chaos in a self-starting Kerr-lens mode-locked laser

We experimentally and numerically demonstrated that self-focusing acts as a slow-varying control parameter that suppresses the transient chaos to reach a stable mode-locking (ML) state in a self-starting Kerr-lens mode-locked Ti:sapphire laser without external modulation and feedback control. Based on Fox–Li’s approach, including the self-focusing effect, the theoretical simulation reveals that the self-focusing effect is responsible for the self-adaptation. The self-adaptation occurs at the boundary between the chaotic and continuous output regions in which the laser system begins with a transient chaotic state with fractal correlation dimension, and then evolves with reducing dimension into the stable ML state.     

一种改进的谐振参数扰动法及其在DC/DC变换器混沌控制中的应用

种改进的谐振参数扰动法来控制混沌，该混沌控制方法引入了基于非线性映射的调制，其控制目标可以是任意周期的轨道，而不是原混沌吸引子中的嵌入轨道。作为一个应用实例，文中描述了该方法在电流模式控制dc/dc变换器中的应用结果。     

混沌系统的参数开关调制法研究

提出了参数开关调制控制混沌方法,通过对蔡氏电路中的电容参数进行开关调制,可把蔡氏电路由混沌状态控制到其平衡态和nP周期轨道.数值模拟和电路仿真的结果证实了本方法的有效性,丰富了蔡氏电路的工程应用方法     

Study of dual-directional high rate secure communication systems using chaotic multiple-quantum-well lasers

A scheme of synchronized injection multi-quantum-well (MQW) laser system using optical coupling-feedback is presented for performing chaotic dual-directional secure communication. The performance characterization of chaos masking is investigated theoretically, the equation of synchronization demodulation is deduced and its root is also given. Chaos masking encoding with a rate of 5\,Gbit/s and a modulation frequency of 1\,GHz, chaos modulation with a rate of 0.2\,Gbit/s and a modulation frequency of 0.2\,GHz and chaos shifting key with a rate of 0.2\,Gbit/s are numerically simulated, separately. The ratio of the signal to the absolute synchronous error and the time for achieving synchronous demodulation are analysed in detail. The results illustrate that the system has stronger privacy and good performances so that it can be applied in chaotic dual-directional high rate secure communications.     

Chaos, fractals, and atomic flights in cavities

A semiclassical study is carried out of the nonlinear interaction dynamics between two-level atoms and a standing-wave field in a high-finesse cavity. As a result of atomic movement or wave amplitude modulation, a dynamic local instability occurs in a strongly coupled atom-field system. The appearance of dynamical Hamiltonian chaos, fractals, and Lévy flights is demonstrated for the models of two experimental devices: a (micro)maser with thermal Rydberg atoms and a microlaser with cold atoms. Numerical simulation showed that the manifestations of classical chaos, atomic fractals, and flights can be observed in the appropriate real experiments. Attention is drawn to the prospects provided by work on the atom-field systems in the coupling-modulated high-finesse cavities for further investigation of the quantum-classical correspondence, quantum chaos, and decoherence.