Mode characteristics of nano-width rectangle resonator

A new method based on Maxwell's equations,ABCD ray matrices,and total internal reflection is proposed to theoretically analyze the characteristics of eigenmodes confined in nano-width rectangle resonators.Using this method,mode wavelengths and indices of transverse and longitudinal modes are obtained.Another method based on the finite difference time domain technique and Pad′e approximation is used to numerically calculate resonant wavelengths,mode field distributions and quality factors.The results of two methods show that the resonant wavelengths obtained from both methods are very close,and the maximum relative error is less than 2%.The mode indices of transverse and longitudinal modes obtained agree well with mode field distribution patterns calculated by finite difference time domain techniques.     

群智能算法优化SVR预测模型的应用与分析

群体智能是基于生物群体行为规律的智能计算技术,常用以解决参数寻优等问题;作为群体智能的两种典型算法,蚁群算法和粒子群算法应用极为广泛;文章分析了标准蚁群算法和粒子群算法的不足,分别采用改进的蚁群算法和粒子群算法对支持向量机回归模型参数进行优化,并以钕铁硼吸氢阶段合金氢含量预测为例,通过MATLAB对改进后的预测模型进行了仿真验证,最终给出了两种方法优化后,模型的预测效果及性能对比;仿真结果表明,改进的群体智能算法对工艺优化控制有着重要的意义。     

环氧琥珀酸(盐)测定方法探讨

本文以含0.1 mol/L盐酸的氯化镁饱和溶液为加成试剂,进行了环氧基测定的探讨,并考察了反应时间、反应温度对分析准确度的影响。实验结果标明,在反应温度60℃条件下,反应45 min后,分析相对误差降至1%以内;与离子色谱测定方法比较,其测定结果吻合,可用于工业化生产中环氧琥珀酸(盐)的测定。     

Optimal selling time in stock market over a finite time horizon

In this paper, we examine the best time to sell a stock at a price being as close as possible to its highest price over a finite time horizon [0, T ], where the stock price is modelled by a geometric Brownian motion and the ’closeness’ is measured by the relative error of the stock price to its highest price over [0, T ]. More precisely, we want to optimize the expression: where (V t ) t≥0 is a geometric Brownian motion with constant drift α and constant volatility σ > 0, M t = max Vs is the running maximum of the stock price, and the supremum is taken over all possible stopping times 0 ≤τ≤ T adapted to the natural filtration (F t ) t≥0 of the stock price. The above problem has been considered by Shiryaev, Xu and Zhou (2008) and Du Toit and Peskir (2009). In this paper we provide an independent proof that when α = 1 2 σ 2 , a selling strategy is optimal if and only if it sells the stock either at the terminal time T or at the moment when the stock price hits its maximum price so far. Besides, when α > 1 2 σ 2 , selling the stock at the terminal time T is the unique optimal selling strategy. Our approach to the problem is purely probabilistic and has been inspired by relating the notion of dominant stopping ρτ of a stopping time τ to the optimal stopping strategy arisen in the classical "Secretary Problem".     

Beam Parameters for End Diffraction of TE0 Mode of Planar Waveguide

The relation between diffractive beam parameters and normalized frequency is analyzed that leads to two improved Tormulas for two kinds of mode-field halT-widths and several formulas for divergence angle as well as beam propagation factor. The numerical calculation indicates that the maximal relative error is less than 0.5% within a reasonable parameter range.     

物理实验中最佳参量值的选取

许多物理实验中，一些参量要靠实验者本身去选择，参量的选取应以由此而产生的误差最小为标准，本文从误差分析入手，通过典型的实例，给出了选取最佳参量的一种方法。     

固体材料定向光谱发射率测量装置研究及误差分析

针对红外隐身材料光谱发射率测评的需要,提出一种基于能量法的发射率测量模型,并建立起固体材料定向光谱发射率测量装置,能实现温度范围50℃～300℃与光谱范围1.3μm～14.5μm的固体材料定向光谱发射率测量。通过对试样进行实测,得到不同样品在150℃和同一样品在不同温度下的光谱发射率曲线,得出该材料发射率随温度变化的结论。最后分析了样品同黑体温度不等引起的误差,给出温差为1℃和2℃时,发射率相对误差随温度与波长的分布曲线,以及不同黑体温度下3μm～5μm和8μm～14μm的平均相对误差值。     

惠斯通电桥的桥臂电阻在考虑测量精度下的选择

影响惠斯通电桥精确度的主要因素有电桥的灵敏度和电阻箱的误差。为了简化问题,得到半定性半定量的、近似的理论结果,文章建立了电阻阻值误差的近似模型,结合已有的电桥灵敏度的理论公式,通过求误差极小值的方法,推导出测量精度最（极）大时桥臂电阻R1、R2的理论值。此外,文章还对某些现实性的问题进行了较详细的分析和讨论。尽管文章所得到的结果具有一定的近似性,文章的研究思路、方法和结论,或可为惠斯通电桥实验提供理论上的指导,亦可为相关的理论性研究提供一些线索及参考。     

用毛细管测量表面张力系数中的管内径d引起的误差

通过用毛细管测量表面张力系数实验获得了管直径ｄ与表面张力系数ａ的相对误差之间的关系曲线，由此证明实验测得的ａ和ｄ值与理论公式相比呈现一种定向的偏差。     

叠加原理和戴维南定理实验的谩差分析与消除办法

根据误差理论，通过分析、试验找出产生系统误差的主要原因是电源内阻和稳压电源的非线性，并找出较好的解决办法．