周期混合信号和噪声联合激励下的非对称双稳系统的随机共振

研究了周期混合信号和关联的乘性和加性噪声联合激励下的非对称双稳系统的随机共振现象.运用两态理论,给出了基频和高阶谐频信噪比的理论结果.发现对于基频和高阶谐频情形下均出现随机共振，并且高阶谐频存在抑制现象.同时研究了非对称系数和噪声强度以及噪声之间关联强度对信噪比的影响.     

相干态的叠加态的量子统计性质

本文研究了相干态的叠加态的量子统计性质.结果表明,相干态的叠加态仅存在奇次幂的高阶压缩效应,而不存在偶次幂的高阶压缩效应.给出了高阶压缩和高阶反聚束效应与叠加系数间的函数关系.高阶压缩要求叠加系数的辐角取值满足cosθ>exp(-2|α|²),而高阶反聚束效应则要求0.5π<θ<1.5π.奇偶相干态的有关结果均作为特例应包含在本文的一般结论之中.     

一种可大范围调节聚类系数的加权无标度网络模型

在Barrat, Barthélemy 和 Vespignani (BBV)加权无标度网络模型的基础上，提出了一种可大范围调节聚类系数的加权无标度网络模型——广义BBV模型(GBBV模型).理论分析和仿真实验表明，GBBV模型保留了BBV模型的许多特征，节点度、节点权重和边权值等都服从幂律分布.但是，GBBV模型克服了BBV模型只能小范围调节聚类系数的缺陷，从而可以用于具有大聚类系数网络的建模. 关键词： 无标度网络 加权网络 聚类系数     

含间隔层的增益导引-折射率反导引平面波导激光器中高阶模式抑制研究

为了抑制高功率波导激光器中的高阶模式,改善其光束质量,基于增益导引-折射率反导引理论,在对称分层波导结构中添加了一层间隔层,进一步加大了高阶模式与基模之间阈值增益系数的差异,利用这种模式竞争抑制高阶模式.同时从波动方程出发,推导出各模式的本征方程,并给出了基模和高阶模的场分布.引入间隔层之后的高低阶模式损耗计算结果表明,通过合理地选择间隔层参数,可以有效地抑制高阶模式.     

高阶效应影响下高阶孤子在超常介质中的传输特性研究

基于描述超短脉冲在超常介质中传输的非线性薛定谔方程,本文数值研究了高阶效应影响下高阶亮、暗孤子在超常介质中的传输情况。数值模拟表明,三阶色散和自陡峭效应都会引起高阶孤子的分裂和辐射,破坏高阶亮孤子周期性演化特性,导致高阶暗孤子分裂出的灰孤子不对称;孤子的阶数越高,三阶色散和自陡峭的影响越大。利用超常介质可控的色散和非线性特性,通过调节三阶色散和自陡峭效应的系数,发现超常介质中可以基本支持二阶亮孤子、二阶暗孤子和三阶暗孤子的稳定演化。本文的研究结果为将来进一步研究超常介质中高阶亮、暗孤子的存在及传输特性提供了一定的参考价值。     

高阶压缩的另一种定义

在高阶测不准关系基础上提出了光场高阶压缩的另一个定义。它不同于Ｈｏｎｇ和Ｍａｎｄｅｌ定义的高阶压缩，在本诉定义中高阶压缩的准则是场振斩高阶基础量子涨落。利用它研究了压缩相干态和迭加态的高阶压缩，并与Ｈｏｎｇ与Ｍａｎｄｅｌ的结果作了比较。     

基于SiO2波导的低耦合系数、窄线宽、高阶布拉格光栅特性研究

推导了布拉格光栅三维耦合系数公式,构建了一种新型的波导型布拉格光栅三维数值模型,并基于此设计制备出一种基于SiO₂平面波导结构的低耦合系数、窄线宽、高阶布拉格光栅。从理论设计和试验验证两方面系统分析了布拉格光栅刻蚀深度及占空比对光栅耦合系数和线宽的影响,并最终设计制备出了中心波长为1 554.053 nm,反射率为-8.5 dB,峰值半高宽为89 pm的SiO₂波导结构布拉格光栅器件。本文设计制备的低耦合系数高阶布拉格光栅器件工艺简单,成本低,在滤波器、传感器及外腔窄线宽激光器领域中有广阔的应用前景。     

奇偶相干态中测量相位算符的涨落及其压缩

利用Ｂａｒｎｅｔｔ和Ｐｅｇｇ提出的测量相位算符讨论了奇偶相干态中的相位涨落及其高阶涨落，在测不准关系和高阶测不准关系基础上给出了测量相位压缩和高阶压缩的二类定义，并用这二类定义研究了奇偶相干态中测量相位的二阶和高阶压缩情况。     

利用稳态数据修正航天器热网络方程及其系数

本文提出了一种利用稳态数据的热网络修正模型及方法．考虑到航天器内部换热的特点及辐射系数计算精度的提高，引入综合辐射修正系数，克服了修正系数、尤其辐射系数多，一些节点无温度测点的困难．通过对一航天器实验模型的热网络修正，证明了该修正模型及方法的有效性。     

2-cell超导腔的高阶模分析

 阐述了2-cell Telsa腔的设计。用3维程序HFSS分析了其高阶模的特点，给出了高阶模的主要参数频率、品质因数、分路阻抗以及模式的电场分布，并且π模的电场分布与Superfish的模拟结果相比较，两者是一致的。最后，简要分析了各高阶模对电子加速的影响，分析表明高阶模降低了电子加速效率和束流的稳定性。     

双间隙同轴腔加载波导滤波器输出回路设计

采用高次模同轴输出腔结构和双间隙耦合谐振腔电路结构是提高速调管频率、功率和带宽的两个重要方式。将这两种电路形式相结合,利用等效电路法推导了滤波器加载双间隙耦合输出回路的间隙阻抗实部计算公式。通过等效电路分析和3维电磁场计算软件模拟,研究了降低高次模式双间隙耦合输出回路外观品质因数的方法。最终设计加载滤波器使得输出回路模型带宽达到9.7%。     

多涡卷高阶广义Jerk电路

提出在高阶Jerk系统中产生多涡卷混沌吸引子的一种电路设计与实现新方法.根据高阶Jerk方程，构造了一组具有参数控制的阶跃函数序列，在此基础上设计了产生多涡卷混沌吸引子的高阶广义Jerk电路.用这种方法设计电路的一个主要特点是通用性强，基于一种广义的电路形式，通过双掷开关切换，可分别实现多涡卷四阶和五阶两种不同类型的高阶Jerk电路，并由联动开关控制产生涡卷的数量.给出了在四阶和五阶Jerk电路中产生多涡卷混沌吸引子的计算机模拟和硬件实验结果. 关键词： 高阶广义Jerk电路 阶跃函数序列 多涡卷混沌吸引子 电路实验     

双耦合同轴腔TM310模加载空波导输出回路

设计了速调管的单间隙和双间隙圆柱同轴腔高阶TM310模式输出回路。为降低外输出腔的外观品质因数和增加腔内工作模式电磁场的均匀性,采用了在输出孔处腔内侧位置设置轴向短路金属线的措施。由等效电路理论分别计算了它们加载空矩形波导TE10基模时,腔内漂移管中心位置处的等效间隙阻抗及对应的输出带宽。计算模拟发现,与单间隙腔相比,双间隙腔具有较大的间隙阻抗及带宽。     

Scattering from a Multi-Layered Sphere Located in a High-Order Hermite-Gaussian Beam

Scattering of a high-order Hermite-Gaussian beam by a multi-layered sphere is analyzed. The incident high- order Hermite-Gaussian beam field is expressed by the complex-source-point method and expanded in terms of spherical vector wave functions. The beam shape coefficients of the Hermite-Gaussian beam are obtained. Under electromagnetic field boundary conditions, coefficients in the expressions of scattering fields are derived. Results of the numerical calculation of scattering intensity are presented. The effects of the particle parameters and beam parameters on scattering intensity are discussed in detail.     

Differential algebraic method for arbitrary-order chromatic aberration analysis of electrostatic lenses

In this paper, differential algebra is applied to calculate arbitrary high-order chromatic aberrations of electrostatic electron lenses. Expressions of differential algebraic form of high-order combined chromatic aberration coefficients are obtained and arbitrary-order chromatic aberrations can be calculated numerically. As an example, a typical Schiske's electrostatic lens has been studied. All the first- to third-order chromatic aberration coefficients of the lens have been calculated, and the pattern of the first-order chromatic aberration has been given as well.     

A Novel Circuit Architecture for High Performance of High-order Subharmonic Mixers

A novel circuit architecture for high performance of high-order subharmonic (SH) mixers is proposed in this paper. According to the specified harmonic mixing order, one or more mixer diodes sub-arrays and corresponding power divider as well as phase shift network for RF and LO signals are arranged in the circuit. This proposed SH mixer circuit has improved conversion loss, wide dynamic range and high port isolation for high-order SH mixers. By phase cancellation of idle frequencies, the proposed SH mixer circuit can eliminate complicated design procedure of idle frequency circuits; by phase cancellation of leakage LO power to RF and IF port, and leakage RF power to LO port, the mixer circuit can get high port isolation in LO-IF/RF and RF-LO. The increased antiparallel diode pairs in each sub-array will also lead to well performance by lowering effective series resistance. The proposed SH mixer circuit can be easily realized with power divider and phase shift network for RF and LO signals. Supported in part by National Natural Science Foundation of China (NSFC) under Grants 60621002 and in part by NSFC under Grants 60471017.     

A novel high-order FIR photonic signal processor

A new topology for realizing a high-order FIR RF photonic filter is presented. It is based on a novel structure that uses wavelength conversion and a routing technique to enable a multiple-pass transmission of the signal to be obtained through a single photonic sub-filter. The sub-filter can be of low order, however the routing of the output of the sub-filter back to itself several times together with some additional coefficients, realizes a high-order filter. Experimental results are presented which demonstrate a high-order FIR photonic filter realization comprising 39 taps.     

The Solitary Waves for Cubic-Quintic Nonlinear Schrödinger Equation with Variable Coefficients

The cubic-quintic nonlinear Schrödinger equation (CQNLS) plays important parts in the optical fiber and the nuclear hydrodynamics. By using the homogeneous balance principle, the bell type, kink type, algebraic solitary waves, and trigonometric traveling waves for the cubic-quintic nonlinear Schrödinger equation with variable coefficients (vCQNLS) are derived with the aid of a set of subsidiary high-order ordinary differential equations (sub-equations for short). The method used in this paper might help one to derive the exact solutions for the other high-order nonlinear evolution equations, and shows the new application of the homogeneous balance principle.     

Three dimensional shape measurement using high-order instantaneous moments based fringe projection method

Fringe projection techniques are popular tools for three-dimensional shape measurement in optical metrology. In these techniques, the information about the shape or the surface profile of an object is usually encoded in the phase of a recorded fringe pattern. The paper presents a high-order instantaneous moments based method for phase estimation in fringe projection. The method employs a piecewise polynomial phase approximation approach and uses high-order instantaneous moments to determine the polynomial phase coefficients to estimate the phase. The method's working is demonstrated using simulation examples and its practical applicability is validated through a shape measurement experiment.     

Karhunen–Loeve functions for non-Kolmogorov turbulence

Karhunen–Loeve functions for the case of non-Kolmogorov turbulence are calculated. The calculations are performed using the covariance matrix of Zernike coefficients which is derived in analytical form. It is shown that the Karhunen–Loeve expansion is more efficient than the Zernike one for simulations of high-order, turbulence-induced phase distortions.