Optical Fabry–Perot filters using hybrid Periodic, Fibonacci and Cantor photonic structures

Abstract In this numerical investigation, the design of new optical Fabry–Perot filters according to hybrid Periodic/Non-Periodic, one-dimensional photonic structures are proposed. The purpose of the paper is to design and optimize new Fabry–Perot filters to be used in optical systems and instruments. The hybrid structures studied are Periodic/[Fibonacci] P /Periodic and Periodic/[Cantor] P /Periodic, where P is the repetitive number of Fibonacci or Cantor sequence. The materials constituting the layers of the hybrid structure are the SiO 2 and the TiO 2 . The transmission spectra are determined using the Transfer Matrix Method (TMM). We show that the number, the position of the transmission peaks, the finesse coefficient (F) and the quality factor (Q) depend on the repetitive number (P), the light-incidence angle ( θ ) and the Polarization modes (TE and TM). All of these parameters are optimized to obtain a Fabry–Perot filters with high finesse coefficient (F), high quality factor (Q), minimum number of layers and minimum thickness. By comparing with other research works, the hybrid Periodic/Cantor structure is the best one which permits to obtain a Fabry–Perot filter with high Finesse coefficient F = 17300 . On the other hand, the hybrid Periodic/Fibonacci structure makes it possible to achieve the best high quality factor Q = 311600 .