Preconditioned finite-difference frequency-domain for modeling periodic dielectric structures - comparisons with FDTD

Alexandre Chabory (1, 2) , B.P. de Hon (2) , W.H.A Schilders (3) , A.G. Tijhuis (2)

1 ENAC - Ecole Nationale de l'Aviation Civile
2 Department of Electrical Engineering [Eindhoven]
3 Department of Mathematics and Computer Science

Finite-difference techniques are very popular and versatile numerical tools in computational electromagnetics. In this paper, we propose a preconditioned finite-difference frequency-domain method (FDFD) to model periodic structures in 2D and 3D. The preconditioner follows from a modal decoupling approximation. Its use involves discrete Fourier transforms (via FFTs). We have set FDFD against an FDTD package for a typical test case, with identical spatial grids. We have observed that computation times for a full frequency sweep are comparable, while the accuracy is slightly better with FDFD.

Mots clés: computational electromagnetics; dielectrics; discrete Fourier transforms; finite difference methods; flexible printed circuits; frequency; packaging; periodic structures; testing; time domain analysis

Domaines: Electromagnétisme

Alexandre Chabory, B.P. de Hon, W.H.A Schilders, A.G. Tijhuis. Preconditioned finite-difference frequency-domain for modeling periodic dielectric structures - comparisons with FDTD. EuMC 2008, 38th European Microwave Conference, Oct 2008, Amsterdam, Netherlands. pp 829-832, ⟨10.1109/EUMC.2008.4751581⟩. ⟨hal-01022228⟩