We examine quasiperiodic multilayers arranged in m-bonacci sequences, which combine ordinary positive-index materials and dispersive metamaterials with negative index in a certain frequency range. When the volume-averaged refractive index of the nonperiodic multilayer equals zero, the structure does not propagate light radiation and exhibits a forbidden band. We identify some analytical expressions to determine the upper and lower limits of the above zero-average refractive-index bandgap. We recognize that these limits are not explicitly dependent on the geometrical parameters of the stack of layers.
© 2009 Optical Society of America
Original Manuscript: April 24, 2009
Revised Manuscript: August 16, 2009
Manuscript Accepted: September 2, 2009
Published: October 9, 2009
J. A. Monsoriu, R. A. Depine, M. L. Martínez-Ricci, E. Silvestre, and P. Andrés, "m-bonacci metamaterial multilayers: location of the zero-average index bandgap edges," Opt. Lett. 34, 3172-3174 (2009)