SOI多环级联光学谐振腔滤波器

利用MEMS工艺制备了基于SOI的小尺寸、高集成光波导多环级联谐振腔滤波器,理论分析了多环级联微环腔的光场传输特性与光谱响应特性,实验验证并得到了不同级联环数与谐振谱线滚降垂直度的关系。研究表明:当波导宽度为450 nm、半径为5μm时,单环、双环和十环滤波器响应谱线的-3 dB带宽分别为0.313,0.279,0.239 nm,相应结果与理论吻合,即随着级联环数的增多,谐振谱线顶端趋于平坦,滚降垂直度增高。设计制备了环形与跑道形两种级联谐振腔滤波器,研究了相应的透射谱特性。     

一种修正的拟Grünwald插值在Orlicz空间内的逼近度

修正了以第二类Chebyshev多项式的零点为插值结点组的拟Grünwald插值多项式,使之转化为积分形式,并利用不等式技巧和Hardy-Littlewood极大函数的方法,研究了此积分型拟Grünwald插值算子在带权Orlicz空间内的逼近问题,得出了意义相对广泛的逼近度估计的结果.     

Interquantile Shrinkage in Regression Models

Conventional analysis using quantile regression typically focuses on fitting the regression model at different quantiles separately. However, in situations where the quantile coefficients share some common feature, joint modeling of multiple quantiles to accommodate the commonality often leads to more efficient estimation. One example of common features is that a predictor may have a constant effect over one region of quantile levels but varying effects in other regions. To automatically perform estimation and detection of the interquantile commonality, we develop two penalization methods. When the quantile slope coefficients indeed do not change across quantile levels, the proposed methods will shrink the slopes toward constant and thus improve the estimation efficiency. We establish the oracle properties of the two proposed penalization methods. Through numerical investigations, we demonstrate that the proposed methods lead to estimations with competitive or higher efficiency than the standard quantile regression estimation in finite samples. Supplementary materials for the article are available online.     

No Spin-Localization Phase Transition in the Spin-Boson Model without Local Field

We explore the spin-boson model in a special case, i.e., with zero local field. In contrast to previous studies, we find no possibility for quantum phase transition （QPT） happening between the localized and delocalized phases, and the behavior of the model can be fully characterized by the even or odd parity as well as the parity breaking, instead of the QPT, owned by the ground state of the system. The parity breaking mentioned in our case is completely different from the spontaneously broken symmetry relevant to the conventionally defined QPT in previous studies. Our analytical treatment about the eigensolution of the ground state of the model presents for the first time a rigorous proof of no- degeneracy for the ground state of the model, which is independent of the bath type, the degrees of freedom of the bath and the calculation precision. We argue that the QPT mentioned previously appears due to incorrect employment of the ground state of the model and/or unreasonable treatment of the infrared divergence existing in the spectral functions for Ohmic and sub-Ohmic dissipations.     

Use of simulated infrared spectra to test N2-Ar pair potentials and dipole moment surfaces

Infrared spectra of the ¹⁴N₂-Ar van der Waals complex have been simulated by performing exact quantum mechanical calculations using two recent potential energy surfaces, one having a modified Morse-Morse-spline-van der Waals form and the other an exchange-Coulomb (XC) modelform. Frequencies and intensities have been calculated for some 10⁵ spectral transitions amongst the bound states of the complex, and simulations of the mid-infrared (2290-2370 cm^-1) spectrum of the complex at 77 K constructed from superpositions of lines, each of which has been assigned a Lorentzian lineshape with a linewidth appropriate to the experimental conditions. The roles of the various terms in the effective dipole moment surface proposed by Ayllon et al. (1990, Molecular Physics, 71, 1043) have also been examined, and a modification made which yields improved agreement with the experimental mid-infrared spectrum obtained by McKellar (1988, Journal of Chemical Physics, 88, 4190). Based upon the present calculations, the 48 most intense bands of the simulated spectrum of the ¹⁴N₂-Ar van der Waals complex have been given vibrational assignments. The spectrum simulated from the modified Morse-type potential surface, when employed together with the present modified dipole moment surface, shows distinctly better agreement with experiment than does the spectrum simulated from either the XC or the earlier empirical potential energy surface. Far-infrared spectra have also been simulated at 5 K and at 77 K using an appropriate effective dipole surface, and compared with the calculation of Ayllon et al.     

具有n个小时滞脉冲系统的周期解

本文考虑有n个小时滞的脉冲系统,利用隐函数存在性定理证明了该系统时滞 充分小时,系统的周期解存在性,推广了已有的相关结论.     

一类新的关于(4+4+1)-体共轭套中心构型

本文研究R3中一类(4+4+1)-体中心构型.利用中心构型等价类的性质及代数、分析方法,得到了该构型构成中心构型的充分和必要条件,证明了对任意给定的质量比这类中心构型存在的结论,解决了给定不同质量比范围该类中心构型是否唯一的问题,推广了文[16]的结论.     

预热处理对褐煤热解过程氧元素迁移的影响

以中国呼伦贝尔褐煤为原料,基于工业分析、元素分析、傅里叶变换红外光谱、气相色谱-质谱联用分析,考察140-230℃预热处理对褐煤650℃等温热解氧迁移的影响。结果表明,与未经预热处理的干煤热解相比,褐煤经200℃预热处理后热解,迁移至热解水和半焦中的氧分别下降7.55%和1.43%,迁移至焦油和气体中的氧分别增加6.66%和1.61%,焦油中酚类氧增加一倍。褐煤预热过程中氢键的减少与热解焦油中正己烷可溶物所含酚类化合物的增加,经原位红外漫反射光谱分析,发现源自OH…π、OH…N和羟基自缔合氢键在预热过程中断裂形成自由OH·,导致酚类化合物中苯酚和甲酚含量增加。     

泡沫镍上电沉积花瓣状NiFeOxHy/rGO用于析氧反应

开发碱性体系的高效低成本析氧电催化剂是由可再生能源转化制氢的关键。本研究通过在泡沫Ni基底上原位电化学沉积的方法制备了花瓣状NiFeO_xH_y和NiFeO_xH_y/rGO复合催化剂用于析氧反应。花瓣状的结构不仅明显提高了催化剂的比表面积,而且暴露了更多的层状边缘和缺陷,进而增加了催化剂的活性中心。还原氧化石墨烯的加入进一步提升了催化剂的电导和析氧电催化性能,通过优化NiFeO_xH_y/rGO在1 mol/L KOH溶液中的析氧性能为：过电位200 mV（10 mA/cm²）、Tafel斜率29.11 mV/decade,并且保持了较好的稳定性。     

气相色谱法分离正己烷和环己烷的实验设计与教学探索

The experiment of separating low toxic n-hexane and cyclohexane by traditional gas chromatography was improved with orthogonal experimental design. The effect of sample quantity, vaporization chamber temperature, detector temperature, column temperature, line velocity and separability of the split ratio were examined. Through the experiment, students could understand the use and maintenance of gas chromatography instruments. At the same time, they could understand separability and column efficiency of chromatography.