Computational electromagnetic solutions for large-scale conductors, left-handed metamaterials and plasmonic nanostructures

We present some integral-equation approaches for the accurate solution of different problems in computational electromagnetics. First, an efficient MPI/OpenMP parallel implementation of MLFMA-FFT algorithm is presented for the solution of large-scale metallic conducting bodies. By combining the high scalability of FMM-FFT with the high efficiency of the MLFMA, a challenging problem with more than one billion unknowns was solved using a parallel supercomputer. Second, looking for the extension of these rigorous approaches to the new problems devised with the advent of nanoscience and nanotechnology, the integral-equation method was successfully applied to the solution of left-handed metamaterials and plasmonic nanostructures. Numerical examples are presented that confirm the validity and versatility of this approach for the accurate resolution of problems in the context of leading-edge nanoscience and nanotechnology applications.