《中国光学》约稿信

尊敬的光学科技工作者： 为了整体把握中国光学的研究进展、展望光学学科发展方向，为国内外科研人员更好地了解中国光学的总体状况，经国家新闻出版总署批准，《中国光学与应用光学》期刊从2011年起正式更名为《中国光学》。     

大学物理中几个常见超越方程解的渐近表示

简要介绍了布尔曼一拉格朗日级数,并推出了几个常见超越方程的解的渐近表示.     

还原一道高考试题的真实面目

文[1]的研究很有实用价值,笔者最近在研究圆锥曲线切点弦问题时,发现了一个有用的性质: 定理过双曲线x2/a2-y2/b2=1上任一点E作椭圆x2/a2+y2/b2=1的切线EM,EN,切点分别为M,N两点,直线MN交双曲线两渐近线于G,H两点,O为坐标原点,则S△OGH=ab.     

求解Schrdinger方程的高阶紧致差分格式

基于Richardson外推法提出了一种求解Schrdinger方程的高阶紧致差分方法.该方法首先利用二阶微商的四阶精度紧致差分逼近公式对原方程进行求解,然后利用Richardson外推技术外推一次,得到了Schrdinger方程具有O(r~4+h~4)精度的数值解.通过Fourier分析方法证明了该格式是无条件稳定的.数值实验验证了该方法的高阶精度及有效性.     

Wavelets with differential relation

Divergence-free wavelets are successfully applied to numerical solutions of Navier-Stokes equation and to analysis of incompressible flows. They closely depend on a pair of one-dimensional wavelets with some differential relations. In this paper, we point out some restrictions of those wavelets and study scaling functions with the differential relation; Wavelets and their duals are discussed; In addition to the differential relation, we are particularly interested in a class of examples with the interpolatory property; It turns out there is a connection between our examples and Micchelli’s work.     

利用不等式取等号的条件解方程

文[1]结合几个例题详细介绍了利用不等式取等号的条件解方程的方法,笔者读后感觉受益匪浅.利用不等式取等号的条件解方程,关键是     

Influence of Excitation Pulse Width on the Second-Order Correlation Functions of the Exciton-Biexciton Emissions

We investigate theoretically the population dynamics and the second-order correlation functions of photon emissions from the biexciton-exciton system of a single quantum dot with excitation from pulses to continuous wave. The dynamic equations of the correlation functions are deduced by applying quantum regression theorem to optical Bloch equations. The influences of excitation pulse width on the correlation function have been discussed in detail.     

具有非局部时滞的扩散Nicholson苍蝇方程的波前解

研究了具有非局部时滞的扩散Nicholson苍蝇方程,其中时滞由一个定义在所有过去时间和整个一维空间区域上的积分卷积表示.当时滞核是强生成核时,根据线性链式技巧和几何奇异扰动理论,获得了小时滞时波前解的存在性.     

Exact Solutions to Short Pulse Equation

In this paper, dependent and independent variable transformations are introduced to solve the short pulse equation. It is shown that different kinds of solutions can be obtained to the short pulse equation.