矩阵光学中变换矩阵的推导

总结了5种推导光线变换矩阵的方法，并例举了大量实例，以供使用时参考，例如，光在均匀介质中传输的光线变换矩阵，球面反射镜，失调望远镜，猫眼反射器和厚透镜等光学系统的光学线变换矩阵，在实际工作中，针对不同的情况，采用不同的方法能给推导带来方便。     

几何成象问题的一般分析

使用矩阵光学方法,在一般情况下对几何成象的问题作了分析.本文对光线变换矩阵为(?)的光学成象系统推导出了生成实象或虚象的条件.     

平行分束偏光镜的矩阵表示及其应用

从几何光学变换矩阵出发，结合琼斯矩阵，导出一种新的处理偏光器件光线变换的矩阵方法。     

表象理论中转换矩阵和传递矩阵的研究

对表象理论转换矩阵和传递矩阵进行了研究,再给出三维空间角动量的分量算符之间的转换矩阵的基础上,推导出了多维情况下的表象之间变换的传递矩阵,使得多维变换的理论计算更加方便快捷.     

基于转动矩阵下的刚体运动变换理论

转动是刚体基本运动形式之一,文中建立了刚体基本转动的矩阵,借助并矢计算法详细推导了刚体绕空间任意轴转动的矩阵变换,证明了欧勒转动与绕任意轴转动的等价性,给出了欧勒运动学方程的矩阵变换方法.     

傍轴光学的矩阵表述

本文阐明了光线方程、光线矢量和光线变换矩阵的概念,导出了球面镜、球面折射面、薄透镜和厚透镜的光线变换矩阵,并获得了共轴球面系统的成像规律与光线变换矩阵的矩阵元之间的关系。     

流体力学Navier—Stokes方程的矩阵变换

关于流体力学Ｎａｖｉｅｒ—Ｓｔｏｋｅｓ方程从笛卡儿坐标系到柱坐标系和球坐标系的变换，现行国内外著作和教科书中采用的方法都相当复杂且繁琐．本文利用矩阵变换为其给出了一种简明的推导方法．     

曲面基本方程的性质及其应用

考虑曲面的结构方程的推导方法问题.引入了一种从矩阵方程出发整体推导曲面结构方程的方法.此方法以矩阵乘法运算代替繁杂的张量符号变换,不仅使推导过程简化,而且也使推导的整体思路更为清晰.     

时滞随机系统的时滞相关稳定性

将自由权矩阵思想推广到一类时滞随机系统中,研究了其时滞相关稳定性问题.通过构造新的Lyapunov函数,引入适当的自由权矩阵,推导出系统渐近稳定的时滞相关的充分条件.所得结果完全基于线性矩阵不等式的形式给出,不需要对原系统模型进行变换.数值算例说明了方法的可行性.     

关于多项式的友矩阵及其对角化问题

友矩阵是方阵的有理标准型中起着重要作用的一类矩阵.本文给出了求将友矩阵对角化的变换矩阵的几种方法.     

Characterization of Ordovician carbonate reservoirs, southeastern Saskatchewan, Canada

The discovery of the prolific Ordovician Red River reservoirs in 1995 in southeastern Saskatchewan was the catalyst for extensive exploration activity which resulted in the discovery of more than 15 new Red River pools. The best yields of Red River production to date have been from dolomite reservoirs. Understanding the processes of dolomitization is, therefore, crucial for the prediction of the connectivity, spatial distribution and heterogeneity of dolomite reservoirs.The Red River reservoirs in the Midale area consist of 3～4 thin dolomitized zones, with a total thickness of about 20 m, which occur at the top of the Yeoman Formation. Two types of replacement dolomite were recognized in the Red River reservoir: dolomitized burrow infills and dolomitized host matrix. The spatial distribution of dolomite suggests that burrowing organisms played an important role in facilitating the fluid flow in the backfilled sediments. This resulted in penecontemporaneous dolomitization of burrow infills by normal seawater. The dolomite in the host matrix is interpreted as having occurred at shallow burial by evaporitic seawater during precipitation of Lake Almar anhydrite that immediately overlies the Yeoman Formation. However, the low δ18O values of dolomited burrow infills (-5.9‰～ -7.8‰, PDB) and matrix dolomites (-6.6‰～ -8.1‰, avg. -7.4‰ PDB) compared to the estimated values for the late Ordovician marine dolomite could be attributed to modification and alteration of dolomite at higher temperatures during deeper burial, which could also be responsible for its 87Sr/86Sr ratios (0.7084～0.7088) that are higher than suggested for the late Ordovician seawaters (0.7078～0.7080). The trace amounts of saddle dolomite cement in the Red River carbonates are probably related to "cannibalization" of earlier replacement dolomite during the chemical compaction.     

A computer generator for randomly layered structures

AcomputergeneratorforrandomlylayeredstructuresYUJia shun1,2,HEZhen hua2(1.TheInstituteofGeologicalandNuclearSciences,NewZealand;2.StateKeyLaboratoryofOilandGasReservoirGeologyandExploitation,ChengduUniversityofTechnology,China)Abstract:Analgorithmisintrod…     

海南岛地体及其毗邻陆缘晚中生代—新生代古地磁研究和构造演化

本文叙述了对海南岛及其毗邻大陆边缘白垩纪到第四纪地层岩石进行古地磁研究的全部工作过程。通过分析岩石中剩余磁矢量的磁偏角及磁倾角的变化,提出海南岛白垩纪以来经历的构造演化模式如下:早期伴随顺时针旋转而向南迁移,后期伴随逆时针转动并向北运移。联系该地区及邻区的地质、地球物理资料,对海南岛上述的构造地体运动提出以下认识:北部湾内早期有一拉张作用,主要是该作用使湾内地壳显著伸长减薄,形成北部湾盆地。从而导致了海南岛的早期构造运动,而海南岛后期的构造运动则主要是受南海海底扩张的影响。海南地体运动规律的阐明对于了解北部湾油气盆地的形成演化有重要的理论和实际意义。     

Exciton Seebeck in Molecular Systems

Various applications relevant to the exciton dynamics,such as the organic solar cell,the large-area organic light-emitting diodes and the thermoelectricity,are operating under temperature gradient.The potential abnormal behavior of the exicton dynamics driven by the temperature difference may affect the efficiency and performance of the corresponding devices.In the above situations,the exciton dynamics under temperature difference is mixed with     

Achieving Unusual States of Matter Under High Pressure

The elongation method,originally proposed by Imamura was further developed for many years in our group.As a method towards O(N)with high efficiency and high accuracy for any dimensional systems.This treatment designed for one-dimensional(ID)polymers is now available for three-dimensional(3D)systems,but geometry optimization is now possible only for 1D-systems.As an approach toward post-Hartree-Fock,it was also extended to     

《Chinese Science Bulletin》SUBJECT INDEX TO VOLUME 59(2014)

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An on-line scaling method for improving scalability of a database cluster

The explosive growth of the Internet and database applications has driven database to be more scalable and available, and able to support on-line scaling without interrupting service. To support more client's queries without downtime and degrading the response time, more nodes have to be scaled up while the database is running. This paper presents the overview of scalable and available database that satisfies the above characteristics. And we propose a novel on-line scaling method. Our method improves the existing on-line scaling method for fast response time and higher throughputs. Our proposed method reduces unnecessary network use, i.e. , we decrease the number of data copy by reusing the backup data. Also, our on-line scaling operation can be processed parallel by selecting adequate nodes as new node. Our performance study shows that our method results in significant reduction in data copy time.     

An improved R-tree based on childnode''s probability

R-Tree is a good structure for spatial searching. But in this indexing structure,either the sequence of nodes in the same level or sequence of traveling these nodes when queries are made is random. Since the possibility that the object appears in different MBR which have the same parents node is different, if we make the subnode who has the most possibility be traveled first, the time cost will be decreased in most of the cases. In some case, the possibility of a point belong to a rectangle will shows direct proportion with the size of the rectangle. But this conclusion is based on an assumption that the objects are symmetrically distributing in the area and this assumption is not always coming into existence. Now we found a more direct parameter to scale the possibility and made a little change on the structure of R-tree, to increase the possibility of founding the satisfying answer in the front sub trees. We names this structure probability based arranged R-tree (PBAR-tree).     

Integrating GIS Web services based on mediating architecture

The geographic information service is enabled by the advancements in general Web service technology and the focused efforts of the OGC in defining XML-based Web GIS service. Based on these models, this paper addresses the issue of services chaining,the process of combining or pipelining results from several interoperable GIS Web Services to create a customized solution. This paper presents a mediated chaining architecture in which a specific service takes responsibility for performing the process that describes a service chain. We designed the Spatial Information Process Language (SIPL) for dynamic modeling and describing the service chain, also a prototype of the Spatial Information Process Execution Engine (SIPEE) is implemented for executing processes written in SIPL. Discussion of measures to improve the functionality and performance of such system will be included.     

Tracking data management using topology of moving object database system for moving object constrained trajectory in LBS application

Advances in wireless technologies and positioning technologies and spread of wireless devices, an interest in LBS (Location Based Service) is arising. To provide location based service, tracking data should have been stored in moving object database management system (called MODBMS) with proper policies and managed efficiently. So the methods which acquire the location information at regular time intervals then, store and manage have been studied. In this paper, we suggest tracking data management techniques using topology that is corresponding to the moving path of moving object. In our techniques, we update the MODBMS when moving object arrived at a street intersection or a curved road which is represented as the node in topology and predict the location at past and future with attribute of topology and linear function. In this technique, location data that are corresponding to the node in topology are stored, thus reduce the number of update and amount of data. Also in case predicting the location,because topology are used as well as existing location information, accuracy for prediction is increased than applying linear function or spline function.