Efficient periodic band diagram computation using a finite element method, Arnoldi eigensolver and sparse linear system solver

Romain Garnier; André Barka; Olivier Pascal

doi:10.1016/j.cpc.2013.02.011

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arXiv · 1402.5007

Efficient periodic band diagram computation using a finite element method, Arnoldi eigensolver and sparse linear system solver

Romain Garnier·André Barka·Olivier Pascal

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Abstract

We present here a Finite Element Method devoted to the simulation of 3D periodic structures of arbitrary geometry. The numerical method based on ARPACK and PARDISO libraries, is discussed with the aim of extracting the eigenmodes of periodical structures and thus establishing their frequency band gaps. Simulation parameters and the computational optimization are the focus. Resolution will be used to characterize EBG (Electromagnetic Band Gap) structures, such as plasma rods and metallic cubes.

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Romain Garnier, André Barka, Olivier Pascal. 2014-02-20. Efficient periodic band diagram computation using a finite element method, Arnoldi eigensolver and sparse linear system solver. https://doi.org/10.1016/j.cpc.2013.02.011

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