开展与专业结合的科研工作,促进数学课程的改革

<正> 我们长期以来一直从事地质系地勘与水工两专本的高等数学、工程数学、数学地质等课程的教学工作,同时也长期参与了地质系部份学师在院内外承担的多项科研项目的工作。在实践中,我们采用了多种     

GaN薄膜的热导率模型研究

准确预测GaN半导体材料的热导率对GaN基功率电子器件的热设计具有重要意义.本文基于第一性原理计算和经典Debye-Callaway模型,通过分析和完善Debye-Callaway模型中关于声子散射率的子模型,建立了用于预测温度、同位素、点缺陷、位错、薄膜厚度、应力等因素影响的GaN薄膜热导率的理论模型.具体来说,对声...     

用统一二阶矩模型模拟强旋湍流气粒两相流动的初探

本文初步探索用统一二阶矩（USM）两相湍流模型及K-ε-kp模型预报旋流数为1.5的轴向-切向进风、轴向供粉的强旋气粒两相流动，预报结果与实验的对比表明，USM模型在预报强族流动两相时平均切向速度场上优于K-ε-Kp模型，并且能够合理地给出与实验定性一致的两相湍流脉动的各向异性．     

基于P31荧光粉的像增强器余辉测量方法研究

荧光屏余辉在高帧频速光子计数等系统应用中起着决定性作用。GJB 7351-2011《超二代像增强器通用规范》荧光屏余辉试验方法中规定光脉冲作为激励源,该方法中光脉冲激励源停止后光源照度下降缓慢,造成在短余辉粉（μs级）和中余辉粉（ms级）的余辉时间测量中测试结果不准。针对该问题,提出了一种在光照持续工作状态下,用光电阴极电压脉冲信号作为激励源的荧光屏余辉测试方法,该方法中光电阴极超快响应时间（一般为1 ns左右）和脉冲电压信号的较短边沿时间（一般可控制在10 ns以内）特性改善了激励源自身时间响应对荧光屏余辉测试结果准确性带来的影响。基于该方法建立了一套微光像增强器荧光屏余晖测量装置,对P31荧光粉的国产三代微光像增强器余辉进行了重复性测量,对测量不确定度进行了误差分析,其扩展不确定度为3.2%,达到了传统光电测试仪器的准确度要求,可满足微光像增强管荧光屏余辉测量的要求。该研究成果为更高性能产品提供了一种检测手段。     

Synergistic influences of titanium,boron, and oxygen on large-size single-crystal diamond growth at high pressure and high temperature

The synergistic influences of boron, oxygen, and titanium on growing large single-crystal diamonds are studied using different concentrations of B₂O₃ in a solvent-carbon system under 5.5 GPa-5.7 GPa and 1300 ℃-1500 ℃. It is found that the boron atoms are difficult to enter into the crystal when boron and oxygen impurities are doped using B₂O₃ without the addition of Ti atoms. However, high boron content is achieved in the doped diamonds that were synthesized with the addition of Ti. Additionally, boron-oxygen complexes are found on the surface of the crystal, and oxygen-related impurities appear in the crystal interior when Ti atoms are added into the FeNi-C system. The results show that the introduction of Ti atoms into the synthesis cavity can effectively control the number of boron atoms and the number of oxygen atoms in the crystal. This has important scientific significance not only for understanding the synergistic influence of boron, oxygen, and titanium atoms on the growth of diamond in the earth, but also for preparing the high-concentration boron or oxygen containing semiconductor diamond technologies.     

Near-field multiple super-resolution imaging from Mikaelian lens to generalized Maxwell's fish-eye lens

Super-resolution imaging is vital for optical applications, such as high capacity information transmission, real-time bio-molecular imaging, and nanolithography. In recent years, technologies and methods of super-resolution imaging have attracted much attention. Different kinds of novel lenses, from the superlens to the super-oscillatory lens, have been designed and fabricated to break through the diffraction limit. However, the effect of the super-resolution imaging in these lenses is not satisfactory due to intrinsic loss, aberration, large sidebands, and so on. Moreover, these lenses also cannot realize multiple super-resolution imaging. In this research, we introduce the solid immersion mechanism to Mikaelian lens (ML) for multiple super-resolution imaging. The effect is robust and valid for broadband frequencies. Based on conformal transformation optics as a bridge linking the solid immersion ML and generalized Maxwell's fish-eye lens (GMFEL), we also discovered the effect of multiple super-resolution imaging in the solid immersion GMFEL.     

金红石结构TiO2结构和热力学性质的第一性原理研究

利用基于密度泛函理论的第一性原理计算方法以及准谐德拜模型研究了金红石TiO2的结构和热力学性质。常温常压下所计算的晶格常数、体弹模量及其对压强的一阶导数与实验值和其他理论计算结果相符的较好。另外,我们还计算了体弹模量、热膨胀系数、热容与温度和压强的关系。     

竞争环境下供应链的BOPS合作策略及其对交通拥堵改善的影响

针对由一个拥有线上直销渠道的制造商以及一个线下零售商组成的供应链,考虑消费者对不同渠道的偏好构建了供应链博弈模型,研究了竞争环境下制造商与零售商的最优BOPS合作策略,并分析了BOPS合作在改善交通拥堵方面的作用。研究表明,BOPS合作在缓解供应链双重边际效应的同时会加剧渠道之间的价格竞争,所以并不总是对供应链有利;仅当消费者线上渠道偏好程度比较低且线下麻烦成本比较大时,制造商和零售商才会都从BOPS合作中受益从而自愿达成合作,其他情形下制造商可根据供应链利润变化设计转移支付契约促成与线下零售商的BOPS合作并实现双赢;此外,一定条件下BOPS合作能够通过调整渠道需求结构,在保证供应链成员利润的同时对交通拥堵改善也带来正向作用。     

Baskakov算子加权逼近的收敛阶

本文讨论了Ｂａｓｋａｋｏｖ算子加Ｊａｃｏｂｉ权逼近的收敛性，首先指出了按通常的加权范数，Ｂａｓｋａｋｏｖ算子是无界的。然后引入一种新的范数，在此范数下Ｂａｓｋａｋｏｖ算子具有压缩性，最后借助于Ｋ－泛函，我们着重讨论了它的特征刻划问题。     

迭代反褶积算法

本文利用条件期望的性质，导出了迭代反褶积算法模型，并给出参数λ的极大似然估计，算例表明该算法是有效的。