The spectrum of a finite group is the set its element orders. We prove that if $$m>5$$ then $$L_{2^m}(2)\times L_{2^m}(2)\times L_{2^m}(2)$$ uniquely determined by in class groups.

We describe a polarization-selective beam splitter by a sandwiched grating, which can fulfill the high efficiency element for TE polarization and the two-port output for TM polarization. The modal method and the rigorous coupled-wave analysis (RCWA) are employed together to optimize the polarization-selective beam splitter. According to the modal method, the grating duty cycle and period are di...

In this paper we address several topics relating to the development and implementation of volume integral and hybrid finite element methods for electromagnetic modeling. Comparisons with the finite elementboundary integral method are given in terms of accuracy and computing resources. We also discuss preconditioning, parallelization of the multilevel fast multipole method and propose higher-ord...

The nite element method with anisotropic mesh grading for elliptic problems in domains with corners and edges Abstract. This paper is concerned with a speciic nite element strategy for solving elliptic boundary value problems in domains with corners and edges. First, the anisotropic singular behaviour of the solution is described. Then the nite element method with anisotropic, graded meshes and...

This paper addresses the problem of contact detection in discrete element multibody dynamic simulations. This paper presents an overview of the problem and a detail description of a new object representation scheme called the discrete function representation (DFR). This representation is designed to reduce the computational cost of both contact detection and the more diicult problem of contact ...