An Expedient Approach to FDTD-based Modeling of Finite Periodic Structures

TL;DR

This paper introduces a fast FDTD method for modeling finite periodic structures by combining boundary conditions and edge simulations, enabling efficient determination of structure size for field convergence.

Contribution

The paper presents a novel FDTD approach that efficiently models finite periodic structures by integrating boundary conditions with edge simulations, reducing computational effort.

Findings

Significant computational savings demonstrated.

Algorithm accurately predicts structure size for field convergence.

Validated with numerical examples showing efficiency improvements.

Abstract

This paper proposes an efficient FDTD technique for determining electromagnetic fields interacting with a finite-sized 2D and 3D periodic structures. The technique combines periodic boundary conditions---modelling fields away from the edges of the structure---with independent simulations of fields near the edges of the structure. It is shown that this algorithm efficiently determines the size of a periodic structure necessary for fields to converge to the infinitely-periodic case. Numerical validations of the technique illustrate the savings concomitant with the algorithm.