On the complexity of constructing Golomb Rulers

A Golomb Ruler is a ruler with integer marks where the distances between every two marks are distinct. Golomb Rulers find diverse applications in computer science and electrical engineering. According to our knowledge the computational complexity of problems related to the construction of Golomb Rulers is unknown. We provide natural definitions for problems related to the construction of such rulers. The main contribution of this work is -completeness results for two such decision problems.     

一种斜入射F-P型薄膜滤光片消偏振设计方法

薄膜滤光片在斜入射使用时,s偏振光和p偏振光的特性会产生分离:两偏振光的中心波长不一致,且s偏振光的通带宽度要小于p偏振光.而采用多种材料且满足特定条件的膜系结构,可使角度入射滤光片两偏振方向的特性趋于一致.通过理论分析,建立了两偏振光反射率的表达式,由表达式可看出非偏振的条件.通过计算,求出相应材料折射率值,从而设计出消偏振的膜系.对一个三腔129层实例膜系进行了计算求解、仿真分析及误差分析.最后的结果验证表明此方法是可行的.     

Study on bi-direction pedestrian flow using cellular automata simulation

A simulation of bi-direction pedestrian flow based on cellular automata (CA) will be presented from two aspects: direction split and pedestrians’ walking habit in this paper. The simulation uses Dynamic Parameters Model (DPM) to simplify tactically the decision-making process of pedestrians in their movements. A new parameter right-hand parameter is introduced to describe the pedestrians’ walking preference. The relationships of velocity–density and flow–density will be studied and analyzed. It is found that there are phase transitions at the critical density point, and the pedestrian flow shows distinctive characteristics at different phases with different relationships of velocity–density and flow–density. It is also found that direction split and pedestrians’ walking habit affect the value of critical density point and the figures of velocity–density and volume–density curves. In conclusion, the simulation can reflect and describe some pedestrian flow self-organization phenomena and transition trend of empirical pedestrian flow curves.     

Long-range dependence in tree-ring width time series of Austrocedrus Chilensis revealed by means of the detrended fluctuation analysis

By using the detrended fluctuation analysis and detrended moving average method, 823 time series of tree-ring widths in Austrocedrus Chilensis in Patagonia were analyzed. The tree-ring widths of A. Chilensis have been widely used for climatological studies. The results point out to the presence of significant scaling in the temporal fluctuations of tree-ring, which is not due to singular probability density function of the widths but due to the presence of long-range correlations. Such results are in good agreement with those concerning the evidence of long-range dependencies in weather time series.     

大气湍流对径向分布高斯列阵光束扩展和方向性的影响

采用积分变换的技巧,推导出了径向分布高斯列阵光束通过湍流大气传输的二阶矩束宽和远场发散角的解析公式,并详细研究了大气湍流对光束扩展和方向性的影响.研究表明,相干合成情况下,子光束数N越小、径向分布半径r₀越大,列阵光束扩展受湍流影响越小.相干较非相干合成时列阵光束的扩展小,但非相干合成时列阵光束扩展受湍流的影响比相干合成时的小.特别地,N足够小或r₀足够大时,相干与非相干合成列阵光束的远场束宽相等.另一方面,还给出了相干和非相干合成径向分布高斯列阵 关键词： 径向分布高斯列阵光束 大气湍流 相干和非相干合成 二阶矩束宽     

4.8MJ脉宽调制型励磁电源设计

利用脉宽调制技术,设计了一台为高功率微波源提供导引磁场的脉宽调制型励磁电源,它可在励磁线圈中产生一定持续时间的准稳态强磁场。励磁电源的储能部分采用容量15 F、最高充电电压800 V的储能密度较高的超级电容器,最大储能为4.8 MJ,内阻小于0.25Ω。在储能电容充电645 V的情况下,对电感约为60 mH、电阻约0.40Ω的励磁线圈进行了励磁实验,获得了持续时间为1.9 s、幅值为900 A准稳态电流,电流波动幅度为5%,对应线圈中的最大轴向磁场为2.2 T。实验结果与理论计算基本一致,表明所研制的励磁电源达到了设计要求。     

体布拉格光栅形变对高斯光束质量平方因子的影响

考虑热效应导致的体光栅表面形变引起体光栅背景折射率和周期的变化,进而引起体光栅介质介电常数的改变,对体光栅中传输的激光束特性的影响进行了研究。采用有限差分和稀疏矩阵的方法,对激光在有变形的体布拉格光栅中传输的波动方程进行数值迭代求解,并对激光束通过有形变的反射式体布拉格光栅后的功率反射比、光束束腰宽度、远场发散角和质量平方因子的变化进行了定量分析。结果表明,随着体光栅表面形变的增大,体光栅的功率反射比明显减小,输出光束的束宽、远场发散角和质量平方因子明显增大。     

Origin bands of electronically forbidden spectra made allowed by centrifugal distortion

Watson’s theory of pure rotational spectra in nonpolar molecules is adapted to show that, if appropriate symmetry conditions are met, centrifugal distortion can lead to the appearance of the forbidden 0-0 origin band in an electronically forbidden spectrum. The intensity of such bands will be low; in the case of the benzene ùB_2u-¹A_1g system the maximum intensity of the forbidden origin is estimated to be about 10⁻⁷ of that of the 6¹₀ band in the main vibronic spectrum. The prospects for the experimental detection of such weak bands are discussed.     

The extraordinary optical transmission through double-layer gold slit arrays

We present the numerical investigation of the optical transmission through a periodic gold nano-slit structure composed with two non-identical layers, and compare it with that of double-layer structure with two identical layers. The optical enhancement is attributed to the surface Plasmon resonance collaborated with the localized waveguide resonance. It is shown that the transmission behaviors are strongly dependent on the layer separation and lateral displacement between the two single metallic gratings. Especially, it is found that extraordinary transmission exists even if the slit of one layer shifts laterally over that of the other one to the situation that no light can propagate directly when layer separation D = 0. When the slit widths of two layers are not equal, the surface plasmon resonance peak alternately decreases and increases twice, and the localized waveguide resonance peak appears at a longer wavelength as the lateral displacement varies for a non-zero layer separation, which differs from the situation with two identical layers. These transmission properties of the structures show promise for applications in optical devices.     

Sectoral sampling in centric-scan SPRITE magnetic resonance imaging

A new approach to the construction of k-space trajectories for centric-scan SPRITE in both 2D and 3D is presented. All benefits of previous SPRITE methods are retained, most importantly the ability to image objects with short T*(2). This new approach gives more flexibility in the choice of number of interleaves with points more evenly distributed across k-space. All these improvements positively contribute to image quality and resolution, which can be also traded off against experimental speed. Sectoral sampling will have significant benefits for magnetisation preparation contrast imaging.