Interval parameter perturbation method for evaluating the bounds on natural frequencies of structures with interval parameters

For structural parameters with uncertainties, interval mathematics can, in the case where the probabilistic distribution density of uncertain variables is unavailable, deal with the influence of uncertainties in structural parameters on the response of structures. In order to evaluate the region containing natural frequencies of structures with interval parameters, the interval parameter perturbation method is presented in this paper. The advantage of the present method is its computational efficiency in evaluating the region containing natural frequencies. A numerical example is used to illustrate the efficiency of the method proposed. The project is supported by National Youth Natural Science Foundation of China and National Outstanding Youth Science Foundation of China.     

The Büttiker-Landauer model generalized

Büttiker and Landauer studied scattering off an oscillating rectangular barrier in order to shed light on the time aspects of tunneling. The expression for the traversal time resulting from this study is controversial. In addition, doubts have recently been expressed on technical aspects of their work. In an attempt to clarify these issues, we investigate a generalization of their model to arbitrary oscillating barriers,V(x, t)=V ₀(x)+V ₁(x)cos t. In the process, we confirm that Büttiker and Landauer's work is technically sound. However, we show, by several examples, that no direct general relation exists between the characteristic frequency of an oscillating barrier and the duration of the tunneling process. For a wide range of realistic parameters this characteristic frequency does not even exist.This paper is dedicated to E. G. D. Cohen.     

实现金相图象彩色化的一种新方法

本文提出一种简便的方法,仅利用一彩色滤波器便可以从金相显微镜实时地观察到假彩色编码图象。图象棱角分明、色彩鲜艳丰富,并能显示黑白显微放大图象所看不到的细节。 我们使用的方法是使黑白图象假彩色化,它利用改造物的空间频谱(即在不同频谱处仅让“某种颜色的光”通过)而实现的。 作者给出理论解析、实验装置和实验结果,并指出这种方法的优点及其在冶金,机械等领域的潜在实用前景。     

Minimum energy configurations on a toric lattice as a quadratic assignment problem

We consider three known bounds for the quadratic assignment problem (QAP): an eigenvalue, a convex quadratic programming (CQP), and a semidefinite programming (SDP) bound. Since the last two bounds were not compared directly before, we prove that the SDP bound is stronger than the CQP bound. We then apply these to improve known bounds on a discrete energy minimization problem, reformulated as a QAP, which aims to minimize the potential energy between repulsive particles on a toric grid. Thus we are able to prove optimality for several configurations of particles and grid sizes, complementing earlier results by Bouman et al. (2013). The semidefinite programs in question are too large to solve without pre-processing, and we use a symmetry reduction method by Permenter and Parrilo (2020) to make computation of the SDP bounds possible.     

可调谐钛宝石双波长激光在β－BaB2O4晶体中和频

本文用矩阵光学推导出了相位共轭腔的热稳条件。     

Least squares decoding in binomial frequency division multiplexing

This paper proposes a method that can reduce the complexity of a system matrix by analyzing the characteristics of a pseudoinverse matrix to receive a binomial frequency division multiplexing (BFDM) signal and decode it using the least squares (LS) method. The system matrix of BFDM can be expressed as a band matrix, and as this matrix contains many zeros, its amount of calculation when generating a transmission signal is quite small. The LS solution can be obtained by multiplying the received signal by the pseudoinverse matrix of the system matrix. The singular value decomposition of the system matrix indicates that the pseudoinverse matrix is a band matrix. The signal-to-interference ratio is obtained from their eigenvalues. Meanwhile, entries that do not contribute to signal generation are erased to enhance calculation efficiency. We decode the received signal using the pseudoinverse matrix and the removed pseudoinverse matrix to obtain the bit error rate performance and to analyze the difference.     

组合跳变随机平移宽间隔混沌跳频序列设计

为进一步提高宽间隔跳频序列的性能,基于混沌跳频序列,针对随机平移替代法存在的“窄点”平移与序列平衡性的矛盾问题,提出了一种新的组合跳变随机平移法。该方法在随机平移替代法的基础上取消“窄点”修正,引入组合跳变序列控制频点宽间隔映射。为兼顾组合跳变随机平移法产生序列的平衡性、汉明自相关性和宽间隔特性,构造了跳频序列的复合目标优化函数,引入粒子群算法计算得到最优的序列控制参数。仿真结果表明,组合跳变随机平移法可构造更多的序列,且产生的宽间隔混沌跳频序列具有更好的平衡性、汉明相关性和复杂度,采用粒子群优化获取的控制参数可以实现序列性能的均衡最优。     

新型星载超宽带微波光子变频技术

传统的星载变频通道存在易受电磁干扰、动态范围受限、带宽瓶颈等不足,将微波光子技术引入卫星通信系统中,可克服电域信号变频的局限性,提升星载变频通道的性能。文章提出了一种基于并联马赫-增德尔调制器(MZM)与相干接收的宽带微波光子变频技术,通过采用相干接收方法,能够实现较好的共模噪声抑制,并降低谐波失真的影响,同时结合抑制载波调制方式所带来的优势,有效改善了变频无杂散动态范围等指标。通过实验验证,其杂散抑制比优于60 dB,无杂散动态范围优于100 dB·Hz2/3,为新型星载微波光子变频方案设计、实际应用提供了必要的理论依据与技术支撑。     

一种基于Arnold置乱和DCT编码的无载体信息隐藏方法北大核心CSCD

近年来十分火热的搜索映射式无载体信息隐藏虽具有一定的鲁棒性,但其隐藏容量较低、传输负载大且算法复杂度高。针对以上问题,该文章提出一种基于Arnold置乱和离散余弦变换(discrete cosine transform,DCT)编码的无载体信息隐藏方法。该算法先对图片进行Arnold置乱,再对DCT后的低频系数进行编码,接着更换置乱参数来构建索引表。选择索引表中与秘密信息相同的编码值所对应的参数构建候选队列,最后筛选出鲁棒性强的参数作为密钥发送给接收方。实验结果表明,该方法与现有方法相比大大提高了嵌入容量,拥有更强的抗JPEG压缩性能。并且减少了传输负载,算法简捷,具有较强的应用价值。     

轨道角动量光束非线性转换研究进展北大核心CSCD

轨道角动量(OAM)是光的一个重要的自由度。由于携带OAM的光束具有特殊的强度相位分布以及力学效应,使得此类光束在高速光通信、测量、成像、光镊和量子信息中具有广泛的应用。关于OAM光束在准相位匹配晶体(QPM)中的频率变换研究,一方面可以研究OAM光束参与非线性相互作用时与高斯光束不同的物理机制;另一方面,非线性过程提供了多种有效的光场调控手段,可以实现携带OAM光场不同自由度的精细调控,为满足不同的光学应用奠定基础。综述了近十年来OAM光束在QPM晶体中的非线性转换研究主要进展,具体包括:非线性过程中OAM光束的守恒、传输、演化和干涉行为研究,高效率的OAM激光和单光子态频率转换研究,OAM频率转换效率模式非依赖性研究,矢量光束的频率转换研究,以及无后向选择的高维OAM纠缠态的制备研究。最后讨论和展望了OAM在QPM晶体中频率转换方面的未来研究趋势。