Investigating Photonic Bandgap Width for Metamaterial based PhC Structure from Dispersion Relation

Characteristic Lowest photonic bandgap width is analytically computed for double negative index materials from dispersion relation under propagation of TE wave. Three well-established metamaterials are considered for simulation purpose, and two lower photonic bandgaps are computed with varying incidence angle for a few materials. Results are compared with existing bandgap widths obtained for positive refractive indices based materials. Results suggest that negative index materials offer higher bandgap width than existing positive index materials, and hence may be considered as better candidate for optical filter design.