We consider periodic multilayers combining ordinary positive index materials and dispersive metamaterials with negative index in some frequency ranges. These structures can exhibit photonic bandgaps which, in contrast with the usual Bragg gaps, are not based on interference mechanisms. Changing the dispersion models for the constituent metamaterial, we investigate its role in the production of zero-average-index bandgaps. In particular, we show the effect of each constitutive parameter on both bandgap edges. Finally, we give some approximated analytical expressions in terms of average parameters for the determination of the upper and lower limits of the zero-average refractive-index bandgap.
© 2009 Optical Society of America
Original Manuscript: June 24, 2008
Revised Manuscript: October 3, 2008
Manuscript Accepted: October 22, 2008
Published: March 3, 2009
Enrique Silvestre, Ricardo A. Depine, María L. Martínez-Ricci, and Juan A. Monsoriu, "Role of dispersion on zero-average-index bandgaps," J. Opt. Soc. Am. B 26, 581-586 (2009)