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

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