Control of laser pulse parameters in a cavity with a thermal-nonlinearity shutter

The light pulse generation by a laser controlled by shutter from a finite-thickness absorbing layer with thermal nonlinearity has been studied theoretically. The layer placed in the cavity is oriented with respect to the mirror so that conditions for nonlinear total internal reflection of generated radiation are created. In the plane-wave approximation, a self-consistent system of nonlinear truncated equations for the field amplitudes together with constitutive equations has been obtained. Numerical simulation with the use of the obtained system has shown that it is possible to control the form and duration of the generated pulse by varying the absorption coefficient of the nonlinear medium and the angle of incidence on the absorbing layer, as well as the layer thickness.Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 71, No. 6, pp. 771–777, November–December, 2004.This revised version was published online in April 2005 with a corrected cover date.     

解Helmholtz方程的共轭梯度法三角阵预处理器

利用对应微分运算的差分运算矩阵,提出了差分求解Helmholtz方程的三角阵预处理器,阐述了在算子离散的过程中而非离散后构造高效率预处理器的基本思想.利用二阶频域Mur吸收边界条件下的二维导体柱散射的模型问题,结合法方程最小余量预处理共轭梯度法(PCGNR)验证了该预处理器的有效性.数值结果表明了该预处理器能够在网格精度提高和吸收边界趋远时,相对常规共轭梯度法具有降低计算复杂度的效果,而存储复杂度并没有提高.同时,也揭示了二维散射问题在网格精度与吸收边界距离一定的情况下,用不同共轭梯度法求解时,由于迭代次数变化较少,计算量几乎随未知量线性增长.     

An effective absorbing boundary algorithm for acoustical wave propagator

In this paper, Berenger’s perfectly matched layer (PML) absorbing boundary condition for electromagnetic waves is introduced as the truncation area of the computational domain to absorb one-dimensional acoustic wave for the scheme of acoustical wave propagator (AWP). To guarantee the efficiency of the AWP algorithm, a regulated propagator matrix is derived in the PML medium. Numerical simulations of a Gaussian wave packet propagating in one-dimensional duct are carried out to illustrate the efficiency of the combination of PML and AWP. Compared with the traditional smoothing truncation windows technique of AWP, this scheme shows high computational accuracy in absorbing acoustic wave when the acoustical wave arrives at the computational edges. Optimal coefficients of the PML configurations are also discussed.     

Nd∶YAG激光重建心肌血管的模拟研究

利用蒙特卡罗方法对Nd∶YAG激光重建心肌血管进行了模拟研究,研究结果表明波长为1 064 nm的Nd∶YAG激光重建心肌血管时,会对激光孔道周围的心肌组织造成较大范围的热损伤;同时由于心肌组织对Nd∶YAG激光的吸收峰值出现在心外膜和心肌膜之间,因此将会产生“爆炸”效应,并在心外膜形成“喇叭”口;模拟研究的结果和实验结果相符合。     

分配超格

目的 研究超格的内部结构性质。方法 通过引入超格的吸收元、固定元等概念来讨论超格中的分配性。结果 超格的吸收元、固定元直积仍为超格直积的吸收元、固定元；子超格的直积仍为超格直积的子超格。结论 分配超格的同态像、子超格、直积仍是分配超格；超格中的乘法分配律与加法分配律不等价。     

应用改进的ADI-FDTD方法对微带结构进行数值仿真

为了改进微波电路设计的数值仿真方法，在各向异性媒质条件下，将交替方向隐式算法用于时域有限差分方法，直接求解时域麦克斯韦方程，把二阶色散Lorentz媒质吸收边界条件推广到单轴各向异性情形、验证了色散媒质吸收边界的吸收效果比Mur和完全匹配层吸收边界更有效．通过对低通滤波器、贴片天线、线谐振器和螺旋电感等典型微带结构的数值仿真，验证了新提出方法的有效性．     

时域有限差分法在地下目标瞬时散射中的应用

采用时域有限差分（FDTD）法讨论地下二维埋地目标的瞬时电磁散射特性.用数值模拟了多种情况下地下目标的瞬态响应,并对结果进行了分析.从以上工作可看出该方法有较高的实用价值.     

负载活性炭吸附-原子吸收法测定金和钯

通过对活性炭的改性, 提高活性炭对钯和金的吸附作用. 提出实用而简便的同时测定钯和金的方法. 样品经过王水溶解、活性炭吸附富集、灰化除炭、再溶解等过程, 利用原子吸收法, 直接测定钯和金的含量. 方法准确方便, 适用范围广.     

酮羰基紫外吸收能量与分子拓扑指数关系研究

研究了14种酮 R1 R2-C=O的C=O紫外吸收能量△E与分子拓扑指数^0T、^1T的关系,发现。^0T、^1T与这些化合物的紫外吸收能量△E有良好的相关性，线性回归方程为：△E=7．47＋0．0847^0T-0．0787^1T，相关系数R=0．9823。     

A Fatou theorem for α-harmonic functions in Lipschitz domains

We study α-harmonic functions in Lipschitz domains. We prove a Fatou theorem when the boundary function is bounded and L^p-H?lder continuous of order β with βp > 1. Mathematics Subject Classifications (2000): Primary 31B25; Secondary 60J50 *Research supported by NSF Grant DMS0244737