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1.
An experimental method for investigating the effect of medium boundary on distributions of light in the biological tissue phantom intralipid is presented. Measurements of distributions of light in intralipid-10% suspensions at 633 nm are described, in which a narrow collimated beam is incident on the surface of the phantoms and into the different depths inside of the phantoms. The experimental results show that the effect of the boundary of the medium on the curves geometry of light distributions is trivial, but the effect on intensity of scattering light is obvious, the maximal relative change of the energy fluence reaches 53.8% and the position of the peak of the energy fluence curve has a shift of 1.1 mm in the reverse direction of incident light for the phantom with albedo a=0.998, and the effect of the boundary is decreased with the increase of the absorption coefficients of tissue phantoms. The experimental results were analysed by the diffusion theory. These studies will be helpful for further understandings of the relation between the boundary of biological tissue and the distribution of light in tissue. 相似文献
2.
A New Triterpene from the Orchid Pholidota yunnanensis 总被引:2,自引:0,他引:2
ZhiMingBI ZhengTaoWANG LuoShanXU 《中国化学快报》2004,15(10):1179-1181
A new triterpene, 25-methylenecyclopholidonyl p-hydroxy-trans-cinnamate, was isolated from a orchid Pholidota yunnanensis. The structure elucidation and ^1H, ^13C-NMR assignments were achieved by spectral and chemical method. 相似文献
3.
Helmholtz方程外边值问题的自然边界元法 总被引:6,自引:0,他引:6
李瑞遐 《高校应用数学学报(A辑)》1997,(3):369-374
本文利用Fourier展开获得了圆外区域上的Helmholtz方程边值问题的Poisson积分公式和积分方程,并用Galerkin法求积分方程的解,导出了刚度矩阵元素的计算公式,讨论了数值技术,给出了变分解的唯一性定理和近似解的误差估计。 相似文献
4.
5.
Bound States of the S-Wave Equation with Equal Scalar and Vector Standard Eckart Potential 下载免费PDF全文
Eser Olgar Ramazan Koc Hayriye Tutunculer 《中国物理快报》2006,23(3):539-541
A supersymmetric technique for the bound-state solutions of the s-wave Klein-Gordon equation with equal scalar and vector standard Eckart-type potential is proposed. Its exact solutions are obtained. Possible generalization of our approach is outlined. 相似文献
6.
Zuo-liang Xu 《应用数学学报(英文版)》2007,23(4):629-636
In this paper,we study mixed elastico-plasticity problems in which part of the boundary is known,while the other part of the boundary is unknown and is a free boundary.Under certain conditions,this problemcan be transformed into a Riemann-Hilbert boundary value problem for analytic functions and a mixed boundaryvalue problem for complex equations.Using the theory of generalized analytic functions,the solvability of theproblem is discussed. 相似文献
7.
THE COUPLING OF NATURAL BOUNDARY ELEMENT AND FINITE ELEMENT METHOD FOR 2D HYPERBOLIC EQUATIONS 总被引:2,自引:0,他引:2
De-haoYu Qi-kuiDu 《计算数学(英文版)》2003,21(5):585-594
In this paper, we investigate the coupling of natural boundary element and finite element methods of exterior initial boundary value problems for hyperbolic equations. The governing equation is first discretized in time, leading to a time-step scheme, where an exterior elliptic problem has to be solved in each time step. Second, a circular artificial boundary FR consisting of a circle of radius R is introduced, the original problem in an unbounded domain is transformed into the nonlocal boundary value problem in abounded subdomain. And the natural integral equation and the Poisson integral formula are obtained in the infinite domainΩ2 outside circle of radius R. The coupled variational formulation is given. Only the function itself, not its normal derivative at artificial boundary ΓR, appears in the variational equation, so that the unknown numbers are reducedand the boundary element stiffness matrix has a few different elements. Such a coupled method is superior to the one based on direct boundary element method. This paper discusses finite element discretization for variational problem and its corresponding numerical technique, and the convergence for the numerical solutions. Finally, the numerical example is presented to illustrate feasibility and efficiency of this method. 相似文献
8.
9.
一类在自由边界上给出动力学条件的一相stefan问题 总被引:2,自引:1,他引:1
考虑一类在自由边界上给出动力学条件的一相stefan问题:其中α,α,β>0. 本文证明了在一定条件下,其经典解存在、唯一。 相似文献
10.
文[1]就金属板烧蚀中提出的问题,给出了热导方程单个移动边界问题的Fourier型级数求解法。文[2]研究了热导方程双移动边界问题。还有些人研究了抛物型方程移动边界问题情况。但是迄今这一类问题的研究工作集中于线性的情况,对非线性的情况讨论甚少,其它移动边界问题也是如此(参见[3]、[4])。本文是在[1]、[2]的基础上,讨论如下的一类半线性抛物型方程双移动边界的定解问题: 相似文献