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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:376

Article

Na, Dong-Yeop^1,2  Borges, Ben-Hur, V³  Teixeira, Fernando L.^1,2 

[1] Ohio State Univ, ElectroSci Lab, Columbus, OH 43212 USA

[2] Ohio State Univ, Dept Elect & Comp Engn, Columbus, OH 43212 USA

[3] Univ Sao Paulo, Elect & Comp Engn Dept, BR-13560970 Sao Carlos, SP, Brazil

关键词: Body-of-revolution;    Finite-element time-domain;    Maxwell equations;    Discrete exterior calculus;    Transformation optics;   

DOI  :  10.1016/j.jcp.2018.09.024

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

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