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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Na, Dong-Yeop [1, 2] ; Borges, V, Ben-Hur ; Teixeira, Fernando L. [1, 2]
Total Authors: 3
Affiliation:
[1] Ohio State Univ, Dept Elect & Comp Engn, Columbus, OH 43212 - USA
[2] Ohio State Univ, Electrosci Lab, Columbus, OH 43212 - USA
Total Affiliations: 2
Document type: Journal article
Source: Journal of Computational Physics; v. 376, p. 249-275, JAN 1 2019.
Web of Science Citations: 1
Abstract

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)

FAPESP's process: 15/50268-5 - Novel metamaterials for rf/microwave and optical applications
Grantee:Ben-Hur Viana Borges
Support Opportunities: Regular Research Grants