Electromagnetic band structure computation of metamaterial/air composition from first principle for optical filter application

Abstract

In this paper, transfer matrix technique is used to compute the First Brillouin zone of DNG/air material composition for the application in photonic crystal. Three different types of physically realizable metamaterials are considered as the constituent of the periodic arrangement. Tuning of the Brillouin zone is made by suitable changing the structural parameters and coupling coefficient between forward and backward propagating waves for all three structures (paired nanorod, nano-fishnet with rectangular void, nano-fishnet with elliptical void). Results obtained from the first principle show the possibility of transition between perfect and quasi electromagnetic bandgap which is important for the possible application as photonic filter. Result is compared with the obtained band structure of conventional SiO 2 /air composition.