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The present work focuses on the electromagnetic simulation of densely-packed crystalline assemblies of subwavelength particles (metamaterials), for which a rigorous full-wave analysis still remains challenging. Indeed, even for moderate electric sizes, the overly-populated mesh needed to preserve the geometrical features of this kind of structures leads to problems that can easily need millions of...
In this work we present efficient solutions of Surface Integral Equations to solve electromagnetic problems in nanophotonics. These efficient solutions are based on arranging equations to be valid for plasmonic and other exotic materials. Solutions to these problems provide efficient solutions to new leading-edge applications, including analysis of new materials, cloaking, nanoscale wireless links...
In this work, an efficient hybrid MPI/OpenMP parallel implementation of the Multilevel Fast Multipole Algorithm - Fast Fourier Transform (MLFMA-FFT) algorithm has been successfully applied to the solution of a challenging electromagnetic problem involving more than one billion unknowns. The MLFMA-FFT was shown to be optimal from the point of view of modern mixed-memory supercomputers, combining the...
In this work, the well-known Method of Moments (MoM) is applied to the solution of plasmonic metallic nanostructures at optical frequencies. Using the surface equivalent theorems, the MoM approach is applied only on the material boundary surfaces and interfaces, thus avoiding the cumbersome volumetric discretization of objects and surrounding space. Some canonical examples have been analyzed and the...
A wide analysis of metamaterial spheres with different constitutive parameters has been carried out employing MoM-based SIE formulations. The study has been focused on the accuracy assessment of formulations combining normal equations (CNF), tangential equations (CTF and PMCHWT) and both of them (JMCFIE) when dealing with double negative materials. Relevant and informative features as the condition...
The authors have proposed a variation of the FMM-FFT algorithm, consisting of applying a nested FMM-FFT scheme to calculate the near-field contributions. The authors have demonstrated that the FMM-FFT and the Nested FMM-FFT methods allow to benefit from the large computational resources that are available in current HPC systems.
Efficient solutions of integral numerical methods usually require the use of effective preconditioning techniques. Preconditioners involving the near-field information are available for the Fast Multipole Method (FMM), enabling fast convergence up to certain problems sizes. Nevertheless, for large electromagnetic problems, the near-field matrix containing the near-coupling blocks of the impedance...
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