Abstract

In this work, we have calculated the photonic band structure in 2D photonic crystals composed of a dielectric and a dispersive metamaterial with cylindrical inclusions that present rough surfaces by using an integral equation method. We found that for purely dielectric photonic crystals with a relatively small roughness (compared to the wavelength), the band structures remain unperturbed compared to those associated with photonic crystals that have smooth surfaces. However, when a dispersive left-handed material is included in the lattice, band structures become strongly affected under TE and TM polarizations, since new photonic band gaps arise. Moreover, the band gaps that appear in the case of smooth surfaces change their position, becoming narrower or generating more band gaps in the same region.

© 2019 Optical Society of America

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