Comparison of Surface Integral Equations for Left-Handed Materials

Abstract

Abstract-A wide analysis of left-handed material (LHM) spheres with different constitutive parameters has been carried out employing different integral-equation formulations based on the Method of Moments. The study is focused on the accuracy assessment of formulations combining normal equations (combined normal formulation, CNF), tangential equations (combined tangential formulation, CTF, and Poggio-Miller-Chang-Harrington-Wu-Tsai formulation, PM-CHWT) and both of them (electric and magnetic current combined field integral equation, JMCFIE) when dealing with LHM's. Relevant and informative features as the condition number, the eigenvalues distribution and the iterative response are analyzed. The obtained results show up the suitability of the JMCFIE for this kind of analysis in contrast with the unreliable behavior of the other approaches.

Fast surface integral equation formulations for large-scale conductors, metamaterials, and plasmonic problems

“…In this case, the refraction is obtained in the conventional direction. A thorough comparison of the accuracy of the usual formulations for problems involving LHMs was presented by the authors in [11].…”

“…Looking for the extension of rigorous Maxwell integral equation solvers to these new demanded areas, our recent efforts were headed to extend the fast SIEMoM formulations to the analysis of composite piecewise homogeneous metamaterial and plasmonic objects [9][10][11][12][13]. Numerical examples will be presented confirming the validity and versatility of this approach for the accurate resolution of problems in the context of leading-edge nanoscience and nanotechnology applications.…”

Design Analysis of New Metamaterial for Em Absorption Reduction

“…Since 2000, the rate of publications on electromagneticmetamaterials has grown exponentially [12,[25][26][27][28][29], indicative of the extreme interest that artificial materials have generated. In particular, the harms to be solved in SAR reduction require a correct depiction of the cellular phone, anatomical depiction of the head, alignment of the phone and the head, and appropriate design of metamaterials.…”

A New Efie Method Based on Coulomb Gauge for the Low-Frequency Electromagnetic Analysis

“…The electric field integral equation (EFIE) method is one of commonlyadopted methods for modern simulations of scattering, radiation, and circuit problems [1,2]. The popularity of the EFIE stems from the efficient surface triangulation, excellent numerical precision, and powerful capabilities to handle open and complex geometries.…”