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Abstract-Optical properties of generalized dielectric Fibonacci multilayer generated by the rule S l+1 = S n l S m l−1 with a pair of positive integers m and n were studied. The initial generations S 1 and S 2 are taken as S 1 = H and S 2 = L where H and L are two elementary layers with refractive indices n L = 1.45 and n H = 2.3, respectively. In the following numerical investigation, we chose SiO 2 (L) and TiO 2 (H) as two elementary layers. We use the so-called "antitrace" map to determine the transmission spectra of the structures. Based on the representation of the transmittance spectra in the visible range an analysis depending on the pair (n, m) is presented. We show that the whole structure S n l S m l−1 has an interesting application for well selection pairs (m, n) values.

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