A Higher Order B-Splines 1-D Finite Element Analysis of Lossy Dispersive Inhomogeneous Planar Layers

Analysis of Lossy Inhomogeneous Planar Layers Using Finite Difference Method

A general method is introduced to frequency domain analysis of lossy Inhomogeneous Planar Layers (IPLs). In this method, the IPLs are subdivided to several thin homogeneous layers, at first. Then the electric and magnetic fields are obtained using second order finite difference method. The accuracy of the method is studied using analysis of some special types of IPLs.

Higher Order Finite Element Method for Inhomogeneous Axisymmetric Resonators

To analyze resonances in an axisymmetric inhomogeneous cavity, a higher-order finite element method (FEM) is developed. Mixed higher-order node-based and edge-based elements are applied to eigenvalue analysis for the azimuthal component and meridian components of the field, respectively. Compared with the lower-order FEM, the higher-order FEM can improve accuracy with the same number of unknown...

Finite Element Approximation with Hierarchical B-Splines

Dispersive Behaviour of High Order Discontinuous Galerkin Finite Element Methods

The dispersive properties of hp version discontinuous Galerkin finite element approximation are studied in three different limits. For the small wave-number limit hk → 0, we show the discontinuous Galerkin gives a higher order of accuracy than the standard Galerkin procedure, thereby confirming the conjectures of Hu and Atkins (J. Comput. Phys., 182(2):516– 545, 2002 ). If the mesh is fixed and...

General Formulation to Investigate Scattering from Multilayer Lossy Inhomogeneous Metamaterial Planar Structures

This paper presents a general formulation to investigate the scattering from Multilayer Lossy Inhomogeneous Metamaterial Planar Structure (MLIMPS) with arbitrary number of layers and polarization. First, the dominating differential equation of transverse components of electromagnetic fields in each layers derived. Considering the general form of solution of the differential equations and the bo...

To Analyze Inhomogeneous Planar Layers by Cascading Thin Linear Layers

A new method is introduced to analyze lossy Inhomogeneous Planar Layers (IPLs) for both TE and TM polarizations in this paper. The IPLs are subdivided into several thin linear layers instead of uniform ones. The chain parameter matrix of linear layers is obtained by expressing the electric and magnetic fields in power series expansion. This method is applicable to all arbitrary lossy IPLs. The ...