Assessment of zero-average index band-gap limits in quasiperiodic metamaterial multilayers

MONSORIU, JUAN; DEPINE, RICARDO; MARTINEZ RICCI, MARIA LUZ; SILVESTRE, ENRIQUE; ANDRÉS, PEDRO

Pamplona, España

Congreso; Metamaterials; 2008

We examine quasiperiodic multilayers arranged according to the Fibonacci sequence that combine ordinary positive index materials and dispersive metamaterials with negative index in certain frequency ranges. When the averaged refractive index, in volume, of the multilayer equals zero, the structure does not propagate light waves and exhibits a forbidden band. In this contribution we recognize some approximated analytical expressions for the determination of the upper and lower limits of the above zero-average refractive index band gap.