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We present a finite-element time-domain (FETD) Maxwell solver for theanalysis of body-of-revolution (BOR) geometries based on discrete exteriorcalculus (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 inthe meridian plane based on a Cartesian coordinate system where the cylindricalmetric is fully embedded into the constitutive properties of an effectiveinhomogeneous and anisotropic medium that fills the domain. The proposed solveruses a TE/TM field decomposition and an appropriate set of DEC-based basisfunctions on an irregular grid discretizing the meridian plane. A symplectictime discretization based on a leap-frog scheme is applied to obtain thefull-discrete marching-on-time algorithm. We validate the algorithm bycomparing the numerical results against analytical solutions for resonantfields in cylindrical cavities and against pseudo-analytical solutions forfields radiated by cylindrically symmetric antennas in layered media. We alsoillustrate the application of the algorithm for a particle-in-cell (PIC)simulation of beam-wave interactions inside a high-power backward-waveoscillator.

Finite Element Time-Domain Body-of-Revolution Maxwell Solver based on Discrete Exterior Calculus