Finite element time-domain body-of-revolution Maxwell solver based on discrete exterior calculus

Autor(es)

Na, Dong-Yeop ^{[1, 2]} ; Borges, V, Ben-Hur ; Teixeira, Fernando L. ^{[1, 2]}

Afiliação do(s) autor(es)

^[1] Ohio State Univ, Dept Elect & Comp Engn, Columbus, OH 43212 - USA

^[2] Ohio State Univ, Electrosci Lab, Columbus, OH 43212 - USA

• Tipo de documento: Artigo Científico
• Fonte: Journal of Computational Physics; v. 376, p. 249-275, JAN 1 2019.
• Citações Web of Science: 1

Resumo

We present a finite-element time-domain (FETD) Maxwell solver for the analysis of body-of-revolution (BOR) geometries based on discrete exterior calculus (DEC) of differential forms and transformation optics (TO) concepts. We explore TO principles to map the original 3-D BOR problem to a 2-D one in the meridian rho z-plane based on a Cartesian coordinate system where the cylindrical metric is fully embedded into the constitutive properties of an effective inhomogeneous and anisotropic medium that fills the domain. The proposed solver uses a (TE phi, TM phi) field decomposition and an appropriate set of DEC-based basis functions on an irregular grid discretizing the meridian plane. A symplectic time discretization based on a leap-frog scheme is applied to obtain the full-discrete marching-on-time algorithm. We validate the algorithm by comparing the numerical results against analytical solutions for resonant fields in cylindrical cavities and against pseudo-analytical solutions for fields radiated by cylindrically symmetric antennas in layered media. We also illustrate the application of the algorithm for a particle-in-cell (PIC) simulation of beam-wave interactions inside a high-power backward-wave oscillator. (C) 2018 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 15/50268-5 - Novel metamaterials for rf/microwave and optical applications
• Beneficiário: Ben-Hur Viana Borges
• Modalidade de apoio: Auxílio à Pesquisa - Regular