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

Abstract

Surface-integral-equation (SIE) approaches are presented for the accurate solution of different problems in computational electromagnetics. First, an efficient message passing interface (MPI)/OpenMP parallel implementation of the multilevel fast multipole algorithm-fast Fourier transform (MLFMA-FFT) is presented for the solution of large-scale conducting bodies. Second, looking for the extension of these rigorous approaches to new demanded areas, the SIE method is successfully applied to the solution of left-handed metamaterials and plasmonic nanostructures.

FDTD Analysis of Chiral Metamaterials Slab by using the Auxiliary Differential Equation Algorithm

“…The finite-difference time-domain (FDTD) method [5][6][7][8][9][10][11][12][13][14], equivalent-circuit models [15], method of moments (MoM) [16], invariant embedding method, and Mie series solution [17] etc are fundamental numerical methods to study wave propagation in metamaterials [5][6][7] or chiral media. Among these methods, the FDTD method is a widely used electromagnetic computational method, which is also applicable to deal with dispersive media.…”