Analytical and experimental investigation of the transmission/reflection coefficient from labyrinthine metamaterials

Abstract

Labyrinthine unit cells have existed for many years and have been central to the design of numerous metamaterial solutions. However, the literature does not present a reproducible analytical model to predict their behaviour both in transmission and reflection, thus limiting design optimization in terms of bandwidth of operation and space occupied. In this work, we present an analytical model based on the transfer matrix method for phase shift and intensity of transmission/reflection-based labyrinthine unit cells. We benchmark our analytical model by comparing it with finite element method (FEM) simulations - using commercial software - and experimental measurements. Finally, we present a preliminary discussion on the limitations of our approach and the perspectives opened by it.