Optical engineering with Fibonacci dielectric multilayers

We study the resonant transmission of light through Fibonacci dielectric mu ltilayers (FDM). Making use of a transfer matrix renormalization technique [E. Macia and F. Dominguez-Adame, Phys. Rev. Lett. 76, 2957 (1996)] we obta in closed analytical expressions for the transmission coefficient under arb itrary incidence angle conditions. We analyze the relationship between the resonant wavelengths and the quasiperiodic structure of the substrate, sugg esting the potential use of arrays containing FDMs of different sizes in th e design of optical microcavities. (C) 1998 American Institute of Physics. [S0003-6951(98)02249-9].