m-bonacci metamaterial multilayers: location of the zero-average index bandgap edges

J. A. MONSORIU; R. A. DEPINE; M. L. MARTÍNEZ-RICCI; E. SILVESTRE; P. ANDRÉS

OPTICS LETTERS

Año: 2009 vol. 34 p. 3172 - 3174

0146-9592

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.