Strong guiding of light in hollow nanowire Structures

We have theoretically investigated the guiding mode patterns of hollow nanowires. Two types of nanowires,round shape and hexagonal shape, are examined with different combination of outer and inner radii.Because of electric field discontinuity at hollow interfaces and evanescent modes overlap in low refractive index region, strong light guiding and confinement are achieved in both hollow wire structures.     

Cyclic subsemigroups of symmetric inverse semigroups

A generalization of the cycle notation for permutations is introduced for partial one-one transformations (charts). Notational representation theorems for charts that generalize those of permutations are given. Notational multiplication of charts is developed and then applied to yield a transparent proof of Frobenius' result which bounds the idempotent in the cyclic subsemigroup. Lastly, the well known result that the structure of the cyclic subgroups of the finite symmetric groups is determined from combinations of disjoint cycles is generalized to the cyclic subsemigroups of the finite symmetric inverse semigroups.     

Emergence of U(1) symmetry in the 3D XY model with Zq anisotropy

We study the three-dimensional XY model with a Zq anisotropic term. At temperatures T相似文献   

Loss of contact between an elastic layer and half-space

The plane problem of smooth contact between an elastic layer and a half-space is analyzed. The layer is pressed against the half-space by a uniform load applied over its entire surface except for one region of finite length. The solution is given as the sum of solutions to two plane problems, one of which is known a priori. The analysis of the other problem leads to an inhomogeneous Fredholm integral equation for an auxiliary function that is related to the contact pressure. The boundedness of the contact stress at the end of the contact is used to determine the region of separation. The integral equation is solved numerically and the relevant physical quantities are computed and presented in the form of curves.

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Résumé On analyse le problème du contact glissant entre une couche élastique et un demi-espace. La couche est pressée sur le demi-espace par une charge uniforme appliquée à sa surface entière, à l'exception d'une région de longueur finie. La solution est donnée comme une somme des solutions de deux problèmes plans, dont l'une est connue à priori. L'analyse de l'autre est amené à une équation intégrale non-homogène de Fredholm pour une fonction auxiliaire qui dépend de la pression de contact. Le fait que la pression du contact ne peu pas être infinie aux extrémités du contact est utilisé pour déterminer la région de séparation. L'équation intégrale est résolue de façon numérique et les quantités physiques importantes sont calculées et présentées en forme des courbes.

     

在材料研制中的连续介质细观力学有限元建模现状评论（译文）

评述了机械载荷下材料力学行为有限元模拟的先进技术.分析 了考虑材料微观及细观结构情况下，对材料变形、损伤、断裂进行模 拟时各种方法的优缺点及发展前景.阐述了对材料行为模拟方法的发 展，包括基本的及先进的方法，如体胞方法、真实结构模拟、粘结区 模型等.分析了在先进新材料的开发中运用有限元方法的可能性