Plasmonic band and defect mode of one dimensional graphene lattice

TL;DR

This paper introduces a transfer matrix method to analyze and manipulate plasmonic band structures and defect modes in graphene-based photonic crystals, enhancing accuracy and computational efficiency.

Contribution

It presents a novel application of the transfer matrix method considering phase scattering for graphene plasmonic crystals, verified against plane wave expansion results.

Findings

Accurate modeling of plasmonic band gaps and defect modes.

Effective manipulation of plasmonic crystal structures.

Verification of the method's accuracy with existing techniques.

Abstract

Photonic crystals based on graphene plasmons (GPs) are highly tunable and can accurately control photonic transmission at the nanoscales. In this work, the transfer matrix method (TMM) is introduced to study graphene plasmonic crystal (GPC) with periodic surface conductivity in the case of normal incidence. The introduction of TMM after considering the abnormal phase scattering of the abrupt interface gives an idea to accurately manipulate plasmonic crystal structures, and can reduce the calculation workload to a certain extent. The effectiveness of the proposed method is verified with the plane wave expansion method in our model. Furthermore, we study the defect mode and the plasmonic Tamm state in GPC by the transfer matrix method.