Finite-Element Time-Domain Solver for Axisymmetric Devices Based on Discrete Exterior Calculus and Transformation Optics

Author(s):	Na, D. -Y. ; Teixeira, F. L. ; Borges, B. -H. V. ; IEEE Total Authors: 4
Document type:	Journal article
Source:	2017 SBMO/IEEE MTT-S INTERNATIONAL MICROWAVE AND OPTOELECTRONICS CONFERENCE (IMOC); v. N/A, p. 4-pg., 2017-01-01.
Abstract
We present a new finite-element time-domain (FETD) solver for analysis of axisymmetric devices based on discrete exterior calculus (DEC) and transformation optics (TO) concepts. The proposed FETD solver decomposes the fields into TE phi and TM phi modes, which are expanded by using appropriate set of (vector or scalar) basis functions. Utilizing DEC, trigonometric orthogonality, and a leap-frog time-integrator, we obtain energy-conserving fully discrete Maxwell's equations. We explore TO principles to map the original problem from a cylindrical system to an equivalent problem on a Cartesian mesh embedded on an effective (artificial) inhomogeneous medium with radial variation. The new FETD solver is illustrated for the efficient solution of a backward-wave oscillator (BWO) encompassing a slow-wave waveguide with sinusoidal corrugations. (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