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

Band structure of two-dimensional photonic crystals that include dispersive left-handed materials and dielectrics in the unit cell

Alberto Mendoza-Suárez, Francisco Villa-Villa, and Jorge A. Gaspar-Armenta
J. Opt. Soc. Am. B 24(12) 3091-3098 (2007)

Dispersion properties of nonlinear surface waves in one-dimensional photonic crystals with a nonlinear self-defocusing cap layer of left-handed metamaterial

Z. Eyni, A. Namdar, S. Roshan Entezar, and H. Tajalli
J. Opt. Soc. Am. B 27(10) 2116-2121 (2010)

Numerical method based on the solution of integral equations for the calculation of the band structure and reflectance of one- and two-dimensional photonic crystals

Alberto Mendoza-Suárez, Francisco Villa-Villa, and Jorge A. Gaspar-Armenta
J. Opt. Soc. Am. B 23(10) 2249-2256 (2006)

Investigation of the unusual surface plasmon modes and switching bandgap in three-dimensional photonic crystals with pyrochlore lattices composed of epsilon-negative materials

Hai-Feng Zhang, Shao-Bin Liu, and Xiang-Kun Kong
J. Opt. Soc. Am. B 31(6) A31-A39 (2014)

Brewster angle and optical tunneling in one-dimensional photonic crystals composed of left- and right-handed materials

Francisco Villa-Villa and Jorge A. Gaspar-Armenta
J. Opt. Soc. Am. B 23(2) 375-380 (2006)