Effective-Medium Theory with No Approximation for One Dimensional Metamaterials

TL;DR

This paper presents an exact effective-medium theory for one-dimensional metamaterials using transfer matrix theory, introducing a class of perfect metamaterials where the theory applies without approximation.

Contribution

It introduces a no-approximation effective-medium theory for 1D metamaterials based on transfer matrix theory and defines perfect metamaterials with specific transfer matrix properties.

Findings

Exact EMT applicable to 1D perfect MMs

Defines perfect MMs with equal diagonal transfer matrix elements

Provides a framework for precise modeling of 1D metamaterials

Abstract

Transfer matrix theory (TMT) is used to study the effective-medium theory (EMT) of one dimensional metamaterials (1D MMs). 1D MMs with equal diagonal elements of periodic transfer matrix are defined as 1D perfect MMs (1D PMMs), which can be suitable for EMT with no approximation.