椭圆平顶高斯光束的聚焦特性

利用级数分解法把椭圆平顶高斯光束(EFGB)分解成多个椭圆厄密-高斯模的叠加形式,利用椭圆厄密-高斯模的传输公式导出了EFGB通过非轴对称光学系统的传输公式,该公式和直接用矢量积分得出的结果是等效的.利用导出的公式,我们计算分析了EFGB通过轴对称透镜和非轴对称透镜的聚焦特性.结果表明,EFGB聚焦后,近场光强分布变化很快,特别是焦点前后,光强分布会快速旋转.另外,EFGB的聚焦特性与阶次有关.     

罗丹明6G合锌（Ⅱ）配合物的合成及晶体结构

合成了罗丹明 6G合锌 (Ⅱ )配合物 ,晶体结构分析结果表明配合物组成为 [C2 9H31N2 O2 ) 2 ZnCl4·H2 O] .晶体属三斜晶系 ,空间群P -1 (# 2 ) ,晶胞参数为a =1 .1 687(2 )nm ,b =1 .2 50 1 (5)nm ,c =2 .0 694 (5)nm ;α =99.1 3 (2 )°,β=1 0 0 .1 7(4 )°,γ =96.4 6(4 )°;Z =2 ,ρcal=1 .3 0 g/cm3.研究了配合物的摩尔电导、IR和荧光光谱、差热 -热重分析 .     

Inhomogeneous Vacuum: An Alternative Interpretation of Curved Spacetime

The strong similarities between the light propagation in a curved spacetime and that in a medium with graded refractive index are found. It is pointed out that a curved spacetime is equivalent to an inhomogeneous vacuum for light propagation. The corresponding graded refractive index of the vacuum in a static spherically symmetrical gravitational field is derived. This result provides a simple and convenient way to analyse the gravitational lensing in astrophysics.     

空间频率域的张量ABCD定律

运用张量分析方法把轴对称系统中的空间频率域的柯林斯公式推广到一般的非轴对称光学系统,并推导了在空间频率域中适用于非轴对称光学系统的张量ABCD定律。空间频率域中的柯林斯公式和张量ABCD定律直接给出了像散光束的空间傅里叶频谱的传输规律。它们在处理与空间频谱有关的问题,如空间滤波,成像系统的传递函数,复杂像散高斯光束在自由空间的传输等问题时更为简便。     

特殊类型二阶变系数非齐次线性微分方程通解公式

本文给出了二阶变系数非齐次线性微分方程的系数满足某些特殊条件时的通解公式     

Stabilization and Shift of Frequency in an External Cavity Diode Laser with Solenoid-Assisted Saturated Absorption

A simple method to realize both stabilization and shift of the frequency in an external cavity diode laser （ECDL） is reported. Due to the Zeeman effect, the saturated absorption spectrum of Rb atoms in a magnetic field is shifted. This shift can be used to detune the frequency of the ECDL, which is locked to the saturated absorption spectrum. The frequency shift amount can be controlled by changing the magnetic field for a specific polarization state of the laser beam. The advantages of this tunable frequency lock include low laser power requirement, without additional power loss, cheapness, and so on.     

FLaser frequency stabilization and shifting by using modulation transfer spectroscopy

The stabilizing and shifting of laser frequency are very important for the interaction between the laser and atoms. The modulation transfer spectroscopy for the 87Rb atom with D2 line transition F = 2 →F＇ = 3 is used for stabilizing and shifting the frequency of the external cavity grating feedback diode laser. The resonant phase modulator with electro-optical effect is used to generate frequency sideband to lock the laser frequency. In the locking scheme, circularly polarized pump- and probe-beams are used. By optimizing the temperature of the vapor, the pump- and probe-beam intensity, the laser linewidth of 280 kHz is obtained. Furthermore, the magnetic field generated by a solenoid is added into the system. Therefore the system can achieve the frequency locking at any point in a range of hundreds of megahertz frequency shifting with very low power loss.     

一步热解法制备Cu/Fe双金属生物炭复合材料及其高效吸附Pb2+性能

使用一步热解法制备了 Cu/Fe双金属生物炭复合材料(BC@Cu/Fe-X,X=3、5、10)和 Fe生物炭复合材料(BC@Fe)。考察了Cu掺杂量对BC@Cu/Fe-X吸附Pb²⁺的影响,确定最佳掺杂比例。结果显示BC@Cu/Fe-5吸附Pb²⁺性能最好。考察了吸附时间、Pb²⁺浓度、pH、背景离子、空气中老化等实验条件对 BC@Cu/Fe-5 吸附 Pb²⁺的影响。通过动力学、热力学数据拟合分析了BC@Cu/Fe-5吸附Pb²⁺的行为,利用X射线粉末衍射(XRD)、X射线光电子能谱(XPS)、傅里叶变换红外光谱(FTIR)等表征手段解析了BC@Cu/Fe-5吸附Pb²⁺前后特征峰变化。BC@Cu/Fe-5吸附Pb²⁺的机理如下：大约42%的Pb²⁺被还原为Pb⁰,33%的Pb²⁺形成PbO/Pb(OH)₂,25%的Pb²⁺与O—H、C—O、C=O、COO、Fe—O等官能团形成配合物。Cu掺杂可以提高Fe还原Pb²⁺的能力。     

基于绝热快速通道控制原子布居数及其相干性的研究

本文在理论上研究了纳秒数量级内，运用绝热快速通道（ARP）来控制基态原子的相干性及 其布居数在不同能态间的转移.理论计算结果表明抽运激光脉冲相对斯托克斯（Stokes）脉 冲延迟时间的微小改变会导致原子相干性及其布居数的显著变化.运用密度矩阵方程和麦克 斯韦方程联合的自洽方程数值解，我们找到了实现原子最大相干性及其布居数在不同能态间 完全转移的条件. 关键词： 绝热快速通道 布居数 原子相干     

Fractional Fourier transform for partially coherent beam in spatial-frequency domain

By using Fourier transform and the tensor analysis method, the fractional Fourier transform (FRT) in the spatial-frequency domain for partially coherent beams is derived. Based on the FRT in the spatial-frequency domain, an analytical transform formula is derived for a partially coherent twisted anisotropic Gaussian－Schell model (GSM) beam passing through the FRT system. The connections between the FRT formula and the generalized diffraction integral formulae for partially coherent beams through an aligned optical system and a misaligned optical system in the spatial-frequency domain are discussed, separately. By using the derived formula, the intensity distribution of partially coherent twisted anisotropic GSM beams in the FRT plane are studied in detail. The formula derived provide a convenient tool for analysing and calculating the FRTs of the partially coherent beams in spatial-frequency domain.