Continuity Of Tangential Components Research Articles

Creating higher order vector shape functions based on H(curl) for the edge meshless method

ABSTRACT The goal of this work is to extend the Edge Meshless Method (EMM) presenting a new way to build the vector shape functions based on the H(curl) space. These vector shape functions allow the use of four, five and six edges in the support domain. For this, the basis functions polynomial order is increased. The new EMM vector shape functions are applied to eigenvalues problems with different media. The numerical solution is not corrupted by spurious modes, field singularities generated by corners are correctly overcome and the continuity of tangential components across the interface between two different media is satisfied. The shape function with six edges in the support domain present the best results, where the majority of the eigenvalues double their convergence rate. Also, approximations of different polynomial orders can be used in the same problem.

Hybrid FEM/MOM formulation for eddy current problems with moving conductors

In this paper a hybrid formulation for the analysis of electromagnetic fields distribution in systems with conductors in motion is presented. Conductive bodies in relative motion are enclosed in a fictitious surface attached to the conductors. The equivalence theorem is applied to these surfaces and the continuity of tangential components of electric and magnetic fields, taking into account the motional effects, is imposed using the Method Of Moments (M.O.M.). The distribution of electromagnetic fields inside each surface is obtained by means of a Finite Elements Method (F.E.M.) analysis. No re-meshing is required inside and the motional effects are taken into account by means of the boundary conditions. A relevant characteristic of the proposed method is that only a part of the matrices, (namely those involved in the application of MOM), have to be recalculated at each step. The proposed formulation has been tested by comparison with other numerical results.

Effects of anisotropy in inhomogeneous optical fibers

An approximate computer technique investigates wave propagation along radially inhomogeneous anisotropic fibers. The electromagnetic field components are determined by numerical integration across thin concentric tubes within the fiber core. The continuity of tangential components at the tube boundaries yields a dispersion relation for the propagation constant. The effect of anisotropy on group velocity within multimode graded‐index fibers is determined.