Evaluation of a total reflection set-up by an interface geometric model

We have studied the total reflection regime through a model represented by a region separating two dielectric bulk media with well-defined refraction indexes. This region is considered to be an interface in which the following hypotheses are established: – Refraction index linear variation with the transition from one medium to the other. – The thickness depends on the optical phenomenon supposedly produced in the interface. The results we obtained were in close agreement with those obtained by authors who have studied this regime through a fundamentally different treatment.     

代数几何码概述

本文概述了有限域代数曲线上的码的一些最近结果．     

Efficient Hardware Implementation of Finite Fields with Applications to Cryptography

The paper presents a survey of most common hardware architectures for finite field arithmetic especially suitable for cryptographic applications. We discuss architectures for three types of finite fields and their special versions popularly used in cryptography: binary fields, prime fields and extension fields. We summarize algorithms and hardware architectures for finite field multiplication, squaring, addition/subtraction, and inversion for each of these fields. Since implementations in hardware can either focus on high-speed or on area-time efficiency, a careful choice of the appropriate set of architectures has to be made depending on the performance requirements and available area.     

Evaluation of the capacitive force between an atomic force microscopy tip and a metallic surface

We propose a very simple method to determine the electrical tip-surface force in Atomic Force Microscopes used to study the electrical properties of metallic or insulating materials; the analysis of the measurements as well as determination of the appropriate experimental procedures requiring an analytical model of the tip-surface capacitance. The comparison of force expressions obtained by this method with those obtained by exact derivation in the case of the sphere-infinite plane system shows very good agreement. This method is then applied to determine the tip-surface force, the real shape of the tip being introduced in the derivation. The obtained expression is compared to experimental and numerical data. We emphasize that this method is very general and can be applied to any axially symmetric capacitor. Received: 17 June 1997 / Received: 16 September 1997 / Accepted: 7 November 1997     

A general rice formula,palm measures,and horizontal-window conditioning for random fields

In the first main result the mean (m?n)-dimensional Hausdorff measure of the set of crossing points of a level y ? $\text{R}$ⁿ by an m-dimensional continuous random vector field with values in R _ⁿ, m?n, is computed. The second one deals with horizontal-window conditional (Palm) distributions for such random fields. For this purpose, a general concept of Palm measures is introduced, which contains both the ‘stationary’ and the ‘nonstationary’ one.     

复合材料层合板的奇异应力场分析

本文根据特征值与特征函数展开理论,用极其简单的矩阵形式,对纤维增强复合材料层合板中各种断裂模型的界面裂纹奇异性问题进行了一系列的理论推导。计算了各种情况下的应力奇异性值,提出了具有一般奇异性的扇形奇异裂纹单元。最后,分析了复合材料中的边界层效应、层面离层、层板横裂等情况的奇异应力场。计算结果表明,本文的方法是行之有效的。     

Generators and Relations for O

Tate's algorithm for computing O for rings of integers in a number field has been adapted for the computer and gives explicit generators for the group and sharp bounds on their order – the latter, together with some structural results on the p-primary part of O due to Tate and Keune, gives a proof of its structure for many number fields of small discriminants, confirming earlier conjectural results. For the first time, tame kernels of non-Galois fields are obtained.     

Two-Particle Irreducible Effective Action in Gauge Theories

The goal of this paper is to develop the formalism of the two-particle irreducible (2PI) (G. Baym (1962). Physical Review 127, 1391; H. D. Dahmen and G. Jona Lasino (1962). Nuovo Cimento A 52, 807; C. de Dominicis and P. Martin (1964). Journal of Mathematical Physics 5, 14; J. Luttinger and J. Ward (1960). Physical Review 118, 1417; B. Vanderheyden and G. Baym (1998). Journal of Statistical Physics 98, 843; B. Vanderheyden and G. Baym (2000). In Progress in Nonequilibrium Green's Functions, World Scientific, Singapore). (or Cornwall–Jackiw–Tomboulis (CJT) (J. Cornwall, R. Jackiw, and E. Tomboulis (1974). Physical Review D 10, 2428; U. Kraemmer and A. Rebhan (2004). Reports on Progress in Physics 67, 351; R. Norton and J. Cornwall (1975). Annals of Physics 91, 106) effective action (EA) in a way appropiate to its application to nonequilibrium gauge theories. We hope this review article will stimulate new work into this field.     

Mass Generation from Lie Algebra Extensions

Applied to the electroweak interactions, the theory of Lie algebra extensions suggests a mechanism by which the boson masses are generated without resource to spontaneous symmetry breaking. It starts from a gauge theory without any additional scalar field. All the couplings predicted by the Weinberg–Salam theory are present, and a few others which are nevertheless consistent within the model.     

The Gravitational Field of an Electrically Charged Mass Point and the Causality Principle in the RTG

We find the effective Riemannian space–time corresponding to the gravitational field generated by a charged mass point in the framework of the relativistic theory of gravity. The causality principle plays an important role in solving this problem. The analytic form and the domain of definition, i.e., the gravitational radius, of the obtained solution differ from the corresponding results in Einstein's general relativity theory.