We determine the band structure of two-dimensional photonic crystals that are composed of left-handed materials and dielectrics, based on the numerical solution of the Helmholtz equation by using integral equations. It is found that plasmonic resonances appear constituting a band that is independent of the filling fraction. Wide bandgaps are present where the penetration depth of the electromagnetic field inside the photonic crystal is quite short compared to purely dielectric photonic crystals.
© 2007 Optical Society of America
Original Manuscript: July 16, 2007
Revised Manuscript: October 17, 2007
Manuscript Accepted: October 18, 2007
Published: November 30, 2007
Alberto Mendoza-Suárez, Francisco Villa-Villa, and Jorge A. Gaspar-Armenta, "Band structure of two-dimensional photonic crystals that include dispersive left-handed materials and dielectrics in the unit cell," J. Opt. Soc. Am. B 24, 3091-3098 (2007)