Optical engineering with Fibonacci dielectric multilayers

We study the resonant transmission of light through Fibonacci dielectric multilayers (FDM). Making use of a transfer matrix renormalization technique [E. Maciá and F. Domı́nguez-Adame, Phys. Rev. Lett. 76, 2957 (1996)] we obtain closed analytical expressions for the transmission coefficient under arbitrary incidence angle conditions. We analyze the relationship between the resonant wavelengths and the quasiperiodic structure of the substrate, suggesting the potential use of arrays containing FDMs of different sizes in the design of optical microcavities.