离轴多程放大系统中光学设计的初步研究

 通过对离轴多程放大系统的光学设计的分析,并结合三大高功率固体激光装置的实际应用情况,指出在此类系统的光学设计中应重视抑制鬼点破坏和控制系统像差。设计的关键在于确定合适的透镜F数,并通过控制透镜的曲率半径和倾斜角度,在保证无鬼点破坏的情况下使得系统像差较小。     

YbCl3-MCln体系相图的研究(M=Li、Mg、Ca、Pb; n=1,2)

借助于DTA与X射线衍射法研究了YbCl_3-MCl_n(M=Li、Mg、Ca、Pb; n=1或2)二元体系相图．发现YbCl_3-LiCl体系相图属固液异组成型，有化合物Li_3YbCl_6生成，它在481 ℃有一相转变. 其无变点分别为x_(YbCl_s)＝0.410；526 ℃和x_(YbCl_3)=0.340，547 ℃；YbCl_3-MgCl_2属类转熔型相图，在富YbCl_3相区666 ℃有一尚不知其性质的热效应，为x_(YbCl_3)＝0.380，628 ℃；YbCl_3-CaCl_2和YbCl_3-PbCl_2体系皆属简单低共熔型相图，其低共溶点分别为x_(YbCl_3)＝0.530, 615 ℃和x_(YbCl_3)＝0.340, 415 ℃. 后者在固相下有一不稳定化合物PbYbCl_5生成，在392 ℃分解，同时探讨了相图的某些规律．     

Evaluation of degradation mechanism of chlorhexidine by means of Density Functional Theory calculations

Chlorhexidine (CHD), a germicidal drug, has degradation products that can be hemotoxic and carcinogenic. However, there is no consensus in literature about the degradation pathway. In order to shed light on that mechanism, we have employed Density Functional Theory to study reactants, in different protonation states, products and intermediates involved in the different pathways. Based on free energy values comparison and frontier molecular orbital analysis, we have obtained the most stable structures in each protonation state. CHD in saturated form has HOMO localized in one p-chloroaniline, and, due to molecule’s symmetry, HOMO-1 has contributions from the other side of the molecule, but mainly from the biguanide portion of the molecule, instead of from the p-chloroaniline. For the saturated form, we have studied two possible degradation pathways, starting from the monoprotonated structure, and three pathways starting from the neutral structure. We found out that the mechanisms proposed in literature, whose pathways lead to p-chloroaniline (PCA) formation in a smaller number of steps, are more likely than the mechanisms with more intermediate steps or pathways that do not predict PCA formation. Also, based on free energy results, we have found that the formation of another sub-product (PBG-AU) is favorable as well.     

Application of Gray codes to the study of the theory of symbolic dynamics of unimodal maps

In this paper we provide a closed mathematical formulation of our previous results in the field of symbolic dynamics of unimodal maps. This being the case, we discuss the classical theory of applied symbolic dynamics for unimodal maps and its reinterpretation using Gray codes. This connection was previously emphasized but no explicit mathematical proof was provided. The work described in this paper not only contributes to the integration of the different interpretations of symbolic dynamics of unimodal maps, it also points out some inaccuracies that exist in previous works.     

A CLASS OF ASYNCHRONOUS MATRIX MULTI-SPLITTING MULTI-PARAMETER RELAXATION ITERATIONS

1.IntroductionMultisplittingmethodsforgettingthesolutionoflargesparsesystemoflinearequationsAx=b,A=(and)6L(Rn)nonsingular,x=(x.),b=(b.)eR"(1.1)areefficientparalleliterativemethodswhicharebasedonseveralsplittingsofthecoefficientmatrixAEL(R").Following[11th…     

An iterative method for solving nonlinear functional equations

An iterative method for solving nonlinear functional equations, viz. nonlinear Volterra integral equations, algebraic equations and systems of ordinary differential equation, nonlinear algebraic equations and fractional differential equations has been discussed.     

A system of units compatible with geometry

Alternative system of fundamental units: length, time, action, electrical charge is presented instead of the present one: length, time, mass and electrical current. It contains more quantities which are scalars under scalings. Then it is possible to recognize from the unit, what kind of a geometric quantity is a given physical quantity. This is the reason why the new system of units is called compatible with geometry.     

Minimum cost spanning tree games

We consider the problem of cost allocation among users of a minimum cost spanning tree network. It is formulated as a cooperative game in characteristic function form, referred to as a minimum cost spanning tree (m.c.s.t.) game. We show that the core of a m.c.s.t. game is never empty. In fact, a point in the core can be read directly from any minimum cost spanning tree graph associated with the problem. For m.c.s.t. games with efficient coalition structures we define and construct m.c.s.t. games on the components of the structure. We show that the core and the nucleolus of the original game are the cartesian products of the cores and the nucleoli, respectively, of the induced games on the components of the efficient coalition structure.This paper is a revision of [4].     

Improvements to laser forming through process control refinements

Laser forming is a process that uses the energy of relatively high powered lasers to cause permanent deformation to components by inducing localised thermal stresses. It is envisaged that this material processing technique will find a number of commercial applications. This paper briefly discusses laser forming and the development of a basic process monitoring and control system used to overcome variability problems due to the complex nature of the lasers themselves and the manner in which they interact with material. It then goes on to show how the basic control system was modified, using increased feedback data sampling, time delays and a modified control algorithm which takes account of the forming rate in addition to the error. The effect of these developments is then illustrated by a series of tests which show the modifications significantly improve process tolerances.