黎曼流形上不变集的分形维数估计

本文利用整体Lyapunov指数给出了光滑黎曼流形上C1-映射不变集的分形维数的上界.     

Explicit Runge-Kutta-like schemes to solve certain quantum operator equations of motion

We propose a kind of explicit sympletic Runge-Kutta-like scheme to solve operator equations of motion in quantum mechanics and in a quantum scalar field theory.     

Bazilevic函数相邻两系数模之差的估计

本文研究单叶函数相邻系数模之差的增长问题,设f(z)∈S, 0<λ<1．当f为Bazilevic函数时,得到||Dn+1|-|Dn||的准确的阶的估计．     

一种三足型比色传感器对阴离子的颜色响应

A thiourea-based tripodal colorimetric anion sensor was synthesized. Its binding abilities with AcO^- and halide anions in DMSO were studied by UV-Vis spectra. The sensor showed different color responses to these anions. The association constants and different stoichiometries were deduced by nonlinear least-square curve fitting or linear fitting.     

新疆农田十字花科主要杂草幼苗分类特征研究

农田杂草危害很大而且是多种病虫害的寄生和传统者，针对其在幼苗期易于防治，以及截获后种子无法鉴定时采用幼苗鉴定的方法等特点，本文详细研究了新疆农田16种十字花科主要杂草幼苗的形态特征，编制了分种检索表，并对照实物绘制了幼苗形态图，并进行形态描述。     

p-adic Transcendence and p-adic Transcendence Measures for the Values of Mahler Type Functions

We prove the p-adic transcendence and p-adic transcendence measures for the values of some Mahler type functions.     

SiO2脊形条波导热极化引起的电光效应

通过理论模拟对具有上覆盖层的SiO2脊形条波导结构进行了优化,在此基础上利用微电子工艺制作了SiO2脊形波导Mach-Zehnder 型电光调制器,并进行热极化引起的电光和非线性效应的研究.热极化过程大幅增强了样品的电光及非线性效应,二次电光系数由热极化前的1.56×10-22(m/V)2提高到热极化后的8.50×10-22(m/V)2,极化后得到了0.093pm/V的线性电光系数,对热极化的物理机理进行了理论分析.     

Finite-difference time-domain analysis of deformed square cavity filters with a traveling-wave-like filtering response by mode coupling

An add-drop filter based on a perfect square resonator can realize a maximum of only 25% power dropping because the confined modes are standing-wave modes. By means of mode coupling between two modes with inverse symmetry properties, a traveling-wave-like filtering response is obtained in a two-dimensional single square cavity filter with cut or circular corners by finite-difference time-domain simulation. The optimized deformation parameters for an add-drop filter can be accurately predicted as the overlapping point of the two coupling modes in an isolated deformed square cavity. More than 80% power dropping can be obtained in a deformed square cavity filter with a side length of 3.01 microm. The free spectral region is decided by the mode spacing between modes, with the sum of the mode indices differing by 1.     

机动方舱核爆炸冲击波动力响应和安定性分析

本文以核爆炸当量、高度、距离为参数，采用等超压圆给出了普通方舱和防核加固方舱结构在核冲击波下的安全域。研究了限制舱体倾斜的压力条件。本文还以冲击波压力的时间函数为激励，求解了方舱的动力响应。从试验结果推论和计算模拟两方面，分析了方舱承受冲击波的能力。