Finite element time-domain body-of-revolution Maxwell solver based on discrete exterior calculus
SCIE
SCOPUS
- Title
- Finite element time-domain body-of-revolution Maxwell solver based on discrete exterior calculus
- Authors
- Na Dong-Yeop; Borges Ben-Hur V; Teixeira Fernando L.
- Date Issued
- 2019-01
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- 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.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/114349
- DOI
- 10.1016/j.jcp.2018.09.024
- ISSN
- 0021-9991
- Article Type
- Article
- Citation
- JOURNAL OF COMPUTATIONAL PHYSICS, vol. 376, page. 249 - 275, 2019-01
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