Interpolation of impedance matrices for varying quasi-periodic boundary conditions in 2D periodic Method of Moments

TL;DR

This paper introduces an interpolation method for impedance matrices in 2D periodic structures, enhancing simulation efficiency by accurately handling varying quasi-periodic boundary conditions in the Method of Moments.

Contribution

A novel interpolation technique for impedance matrices that accounts for dominant Floquet modes and phase-shifts, improving simulation accuracy in periodic structures.

Findings

Effective interpolation of impedance matrices demonstrated.

Enhanced accuracy in quasi-periodic boundary condition simulations.

Applicable to planar and extendable to non-planar geometries.

Abstract

Periodic structures can be simulated using the periodic Method of Moments. The quasi-periodicity, i.e. periodicity within a linear phase-shift, is implemented through the use of the periodic Green's function. In this paper, we propose a technique to interpolate the impedance matrix for varying phase-shifts. To improve the accuracy, the contribution of the dominant Floquet modes and a term corresponding to a linear phase-shift are first extracted. The technique is applied to planar geometries, but can be extended to non-planar configurations.