Application of hierarchical basis functions to the generalized SIE for simulation of metamaterial antennas Conference

Usner, BC, Sertel, K, Carr, MA et al. (2005). Application of hierarchical basis functions to the generalized SIE for simulation of metamaterial antennas . 2015 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION & USNC/URSI NATIONAL RADIO SCIENCE MEETING, 3 A 68. 10.1109/APS.2005.1552175

cited authors

  • Usner, BC; Sertel, K; Carr, MA; Volakis, JL

authors

abstract

  • Antennas consisting of textured materials can lead to miniature yet broadband designs (Kiziltas, G., et. al. IEEE Trans. Ant. Prop., 51, pp. 2732-2743, 2003). These metamaterial antennas consist of very high contrast media with intricate texture detail. Due to the rapid variations within the textured substrates, accurate analysis of such structures requires a very fine sampling rate or the use of high order methods that have the ability to achieve the required resolution throughout the computational domain. When the efficiency of the solution method is considered, higher-order field modeling is preferred over the use of a high discretization rate (Jørgensen, E., et. al., IEEE Trans. Ant. Prop., 52, pp. 2985-2995, 2004). In addition, the trivial incorporation off high-order expansions into an already existing low-order solution proves the method very attractive for optimization and automated design methodologies. We also note that such multi-resolution capabilities can aid in the in-situ performance analysis of antennas mounted on electrically large objects. One common technique to achieve the necessary field resolution is the so called h-refinement approach which requires an adaptive mesh, where the mesh is refined around those regions needing increased resolution. However, in automated design optimization schemes, this mesh dependence can become undesirable. A mesh independent technique, often called p-refinement, utilizes the hierarchical nature of specific types of polynomial basis functions by adaptively changing the polynomial order used to express the unknown electromagnetic field or current. In addition, this technique allows for the multistep refinement of low-order solutions to greatly reduce the computational effort for a wide range of structures. However, these higher order methods become dependent on the use of conformal finite elements for curvilinear structures. Recently, a new class of higher order hierarchical basis functions have been proposed for curvilinear finite elements and applied to scattering by electrically large PEC structures (Jørgensen, E., et. al., IEEE Trans. Ant. Prop., 52, pp. 2985-2995, 2004). In this work, we propose to use these bases in a generalized surface integral equation approach for analyzing complex structures consisting of intricate detail and which may incorporate high contrast textured materials. We will also investigate (for an adaptive p-refinement) error indicators that will aid us in the design of antennas containing complex materials. © 2005 IEEE.

publication date

  • December 1, 2005

published in

Digital Object Identifier (DOI)

International Standard Book Number (ISBN) 10

International Standard Book Number (ISBN) 13

start page

  • 68

volume

  • 3 A