Examinando por Autor "Solis, Diego M."

Mostrando 1 - 5 de 5

A novel MultiResolution Preconditioner Including Piecewise Homogeneous Dielectric Objects
(Institute of Electrical and Electronics Engineers, 2023) Martin, Victor F.; Solis, Diego M.; Taboada, Jose M.; Vipiana, Francesca
An extensive literature demonstrates the capabilities of the hierarchical quasi-Helmholtz decomposition multiresolution preconditioner both to address the breakdowns for the surface integral equations and to improve the convergence in multiscale problems, until now only applied to perfect electrical conductors. In this work we present a novel methodology based on this efficient preconditioner able to solve arbitrary complex geometries composed of piecewise homogeneous composite objects, that automatically satisfies the boundary conditions. To the authors’ knowledge, this is the first work where a multilevel quasi-Helmholtz decomposition is applied to objects with dielectric junctions without the need of a weak enforcement of the continuity or a number-of-unknown-reduction scheme. Numerical examples demonstrate the efficiency of the proposed approach for the solution of complex problems involving multiple materials (dielectric and conductors).
Accurate EMC Engineering on Realistic Platforms using an Integral Equation Domain Decomposition Approach
(Institute of Electrical and Electronics Engineers, 2019-11-06) Solis, Diego M.; Martin, Victor F.; Araujo, Marta G.; Larios, David; Obelleiro, Fernando; Taboada, Jose M.
This article investigates the efficiency, accuracy and versatility of a surface integral equation (SIE) multisolver scheme to address very complex and large-scale radiation problems including multiple scale features, in the context of realistic electromagnetic compatibility (EMC)/electromagnetic interference (EMI) studies. The tear-and-interconnect domain decomposition (DD) method is applied to properly decompose the problem into multiple subdomains attending to their material, geometrical, and scale properties, while different materials and arbitrarily shaped connections between them can be combined by using the so-called multiregion vector basis functions. The SIE-DD approach has been widely reported in the literature, mainly applied to scattering problems or small radiation problems. Complementarily, in this article, the focus is placed on realistic radiation problems, involving tens of antennas and sensors and including multiscale ingredients and multiple materials. Such kind of problems are very demanding in terms of both convergence and computational resources. Throughout two realistic case studies, the proposed SIE-DD approach is shown to be a powerful electromagnetic modeling tool to provide the accurate and fast solution which is indispensable to rigorously accomplish real-life EMC/EMI studies.
Domain Decomposition Method (DDM).
(Scitech Publishing, 2024) Martin, Victor F.; Hong-Wei, Gao; Solis, Diego M.; Taboada, Jose M.; Peng, Zhen
This chapter concerns the use of domain decomposition (DD) methods for the surface integral equation (SIE)-based solution of time-harmonic electromagnetic wave problems. DD methods have attracted significant attention for solving partial differential equations. These methods are appealing due to their ability to obtain effective, efficient preconditioned iterative solution algorithms. They are also attractive because of their inherently parallel nature, an important consideration in keeping with current trends in computer architecture.
Influence of Geometrical Parameters on the Optical Activity of Chiral Gold Nanorods
(Wiley, 2023-03-08) Obelleiro-Liz, Manuel; Martin, Victor F.; Solis, Diego M.; Taboada, Jose M.; Obelleiro, Fernando; Liz-Marzán, Luis M.
Chiral metal nanoparticles (NPs) offer a powerful means of inducing and harnessing optical activity. However, due to the incomplete knowledge of the underlying growth mechanisms, there is still limited control over the achievable morphological detail and, consequently, over the resulting optical activity. Therefore, theoretical modeling is needed to guide experimental development toward optimizing the plasmonic chiroptical response. Toward filling this gap, herein an extensive parametric analysis is presented, via computer-aided-design (CAD) models and full-wave electrodynamic simulations, which aims at systematically analyzing the influence of structural changes on the plasmonic circular dichroism (CD) spectra of rod-shaped gold NPs comprising helical indentations on achiral nanorod cores. From this analysis, interesting patterns in the plasmon-mediated resonant behavior are identified and cause–effect relationships are drawn that may serve as a go-to recipe for the understanding and fabrication of these NPs and their applications, such as spectroscopic (bio)detection including CD spectral shifts and surface-enhanced Raman optical activity.
Multiresolution Preconditioners for Solving Realistic Multi-Scale Complex Problems
(Institute of Electrical and Electronics Engineers, 2022-02-21) Solis, Diego M.; Martin, Victor F.; Taboada, Jose M.; Vipiana, Francesca
In this work, the hierarchic multiresolution (MR) preconditioner is combined with the multilevel fast multipole algorithm-fast Fourier transform (MLFMA-FFT) and eficiently parallelized in multicore computers for computing electromagnetic scattering and radiation from complex problems exhibiting deep multi-scale features. The problem is formulated using the thin-dielectric-sheet (TDS) approximation for thin dielectric materials and the electric and combined field integral equations (EFIE/CFIE) for conducting objects. The parallel MLFMA-FFT is tailored to accommodate the MR hierarchical functions, which provide vast improvement of the matrix system conditioning by accurately handling multi-scale mesh features in different levels of detail. The higher (coarser) level hierarchical functions are treated by an algebraic incomplete LU decomposition preconditioner, which has been ef ciently embedded into the parallel framework to further accelerate the solution. Numerical examples are presented to demonstrate the precision and eficiency of the proposed approach for the solution of realistic multi-scale scattering and radiation problems.