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

Summary form only given. Antennas consisting of textured materials can lead to miniature, yet broadband, designs (Kiziltas, G., et al. IEEE Trans. Ant. Prop., vol.51, p.2732-43, 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. 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 (Jorgensen, E., et. al., IEEE Trans. Ant. Prop., vol.52, p.2985-95, 2004). 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 also investigate (for an adaptive refinement) error indicators to aid us in the design of antennas containing complex materials.