时间延迟扩散-波动分数阶微分方程有限差分方法

本文提出求解时间延迟扩散-波动分数阶微分方程有限差分方法，方程中对时间的一阶导函数用α阶（0 < α < 1） Caputo分数阶导数代替.文章中利用Lubich线性多步法对分数阶微分进行差分离散，且文章利用分段区间证明该方法是稳定的，且利用数值实验加以验证.     

Effect of Time Delay on Binary Signal Detection via a Bistable System

The effect of time delay on binary signal detection via a bistable system in the presence of white or colored Gaussian noise is investigated. By defining the bit error rate based on the solution of the approximated Fokker- Planck equation, the detector performance is investigated theoretically and is verified by Monte Carlo simulation. It is shown that, when the system parameter or noise intensity is optimally chosen, the increasing time delay generally improves the system performance. It is also shown that it is more difficult to accurately predict the system performance with a larger time delay and correlation time. This may inspire more thorough investigations in cooperative effects of a nonlinear system and time delay on signal processing.     

Effects of pattern dependence on high-power polarization-division-multiplexing applications

High-power polarization-division-multiplexing (PDM) systems or functional modules, such as self-phase-modulation (SPM)-based all-optical regenerators, cross-phase-modulation (XPM)-based wavelength convertors or format convertors, all-optical logical gate, and so on, may suffer from the effects of pattern dependence. Such effects are experimentally investigated using relative time delay variation between bit sequences with orthogonal polarization states in a 2 × 10.65 Gb/s high-power on-off keying (OOK) PDM system. Eye-diagram-based signal-to-noise ratio (SNR) and bandwidth of broadened spectrum are measured and compared. An eye-diagram-based SNR fluctuation of up to 4 dB may occur as the delay changes.     

具有变系数和时间延迟的随机SIV流行病模型

本文研究具有变系数和时间延迟的随机SIV流行病模型.首先证明模型存在唯一全局正解,然后利用半鞅收敛定理给出了疾病几乎处处灭绝的充分条件.     

High sensitivity and high selectivity terahertz biomedical imaging

We demonstrate two distinct emerging terahertz (THz) biomedical imaging techniques.One is based on the use of a new single frequency THz quantum cascade laser and the other is based on broadband THz time domain spectrocopy.The first method is employed to derive a metastasis lung tissue imaging at 3.7 THz with clear contrast between cancerous and healthy areas.The second approach is used to study an osseous tissue under several imaging modalities and achieve full THz spectroscopic imaging based on the freque...     

含时间延迟三维节能减排系统的动力学分析

考虑节能减排量,碳排放量和经济增长量之间的关系,以及时间延迟现象,建立含时间延迟的三维节能减排系统的微分方程模型,分析平衡点及其稳定性态,得到出现Hopf分支的条件.利用中心流形理论和规范性方法给出Hopf分支的性质.数值模拟验证了理论结果的有效性.     

气液界面微观结构研究的一种实验新方法

许多物理、化学和生物过程发生于气液界面,且受到局域微观结构的深远影响. 不同于液体的体相,分子取向是界面处微观结构突出的不对称特征之一. 本文综述了电子碰撞时间延迟质谱方法和近期取得的进展. 利用这个崭新的方法,不仅可以侦测得到利用小角度X射线或中子散射以及振动和频光谱方法获得的界面微观结构,同时也提供了一种研究气液界面处电子驱动化学反应的实验方案.     

面向天基引力波探测的时间延迟干涉技术

时间延迟干涉技术(Time-delay Interferometry,TDI)对中国引力波探测项目及其它天基激光精密测量任务具有重要的参考价值。在天基引力波探测任务中,需利用激光干涉仪对无拖曳检验质量块间实现十皮米量级的位移测量精度。其中,激光源频率噪声和时钟频率噪声是两项主要噪声。在欧洲主导的LISA(Laser Interferometer Space Antenna)引力波探测项目中,利用TDI对三星上的十二组相位测量值进行延迟和线性组合,构造出臂长相等的干涉仪,从而消除了激光源噪声以及光学平台位移噪声。为了消除时钟噪声,将时钟信号倍频到GHz,再通过相位调制的方式加载到星间激光链路上,最终从时钟边带拍频信号中提取出时钟噪声,并在TDI的数据组合中将时钟噪声项消除。为了实现TDI的时间延迟处理,要求对星间绝对距离进行精确测量。因此,在TDI机制中,星间激光链路需要同时实现位移测量、时钟边带调制和绝对距离测量3个功能。其中,后两个功能分别大约消耗10%和1%的载波激光功率。LISA项目针对TDI技术的地面论证结果表明,TDI技术对激光源和时钟的噪声抑制分别达到了109和5.8×104倍。