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A Mixed E-B Finite Element Formulation for the analysis of Periodic Structures

Naidu, Vemula Bhanu and Gope, Dipanjan and Kamath, Sudhir (2018) A Mixed E-B Finite Element Formulation for the analysis of Periodic Structures. In: 2018 15th International Conference on ElectroMagnetic Interference & Compatibility (INCEMIC), 13-16 Nov. 2018, Bengaluru.

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Official URL: https://doi.org/10.1109/INCEMIC.2018.8704631

Abstract

The analysis of periodic structures with the Finite Element Method (FEM) has received a lot of attention in recent years. FEM formulates Maxwell's curl equations as either a second-order wave equation or two dual first-order (mixed) equations. Up until now the analysis of the periodic structures was primarily restricted to using the second-order wave equation. In this work, a new mixed vector finite element method for solving the coupled Maxwell's equations for the periodic boundary condition is presented. The mixed-order formulation gives a higher accuracy compared to the second-order for the same number of mesh elements. Numerical experiments are performed to validate the new formulation with analytical and commercial methods.

Item Type: Conference Proceedings
Additional Information: 15th International Conference on Electromagnetic Interference & Compatibility (INCEMIC), Soc EMC Engineers India, Bengaluru, INDIA, NOV 13-16, 2018
Keywords: Finite element method; Mixed vector Finite element method; Floquets theorem; Periodic boundary conditions
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering > Electrical Communication Engineering - Technical Reports
Depositing User: Id for Latest eprints
Date Deposited: 19 Jun 2019 13:06
Last Modified: 26 Jun 2019 17:38
URI: http://eprints.iisc.ac.in/id/eprint/62982

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