On the Relation between Perfect Tunneling and Band Gaps for SNG Metamaterial Structures

In this article, we have proposed a compact classification of isotropic and homogeneous single negative (SNG) electromagnetic metamaterial based perfect tunneling unit cells. This unified classification has been made by means of the band gap theories and properties of the arrays made up of these unit cells. Based on their reported characteristics, we have proposed new structures that simultaneously show perfect tunneling band and complete band gap (CBG-omni directional stop band for both polarizations). Besides, we have identified a kind of perfect tunneling which can be considered as "phase shifted perfect tunneling". Several interesting and new phenomena like Complete Perfect Tunneling (CPT-omni directional perfect tunneling for both polarizations), Band Gap Shifting,CBG in Double Positive (DPS) material range, etc. have been reported with proper physical and mathematical explanations.