title: Self-similar optical transmittance for a deterministic aperiodic multilayer structure.
abstract: We study theoretically the spectral transmission properties of a multilayer structure in which the refractive index of the layers follows a self-similar arithmetical sequence named 'The 1s-counting sequence', which is related to the Pascal's triangle. The transmittance spectrum is intermediate between that of a periodic structure and that of a random structure, and shows clearly properties of scaling and self-similarity for all incident angles and TE and TM polarizations.
authors.affiliation: Instituto de Física de la Benemérita, Universidad Autónoma de Puebla, Apartado Postal J-48, 72570 Puebla, Puebla, Mexico.
authors.forename: X I
authors.initials: XI
authors.lastname: Saldaña
authors.forename: E
authors.initials: E
authors.lastname: López-Cruz
authors.forename: D A
authors.initials: DA
authors.lastname: Contreras-Solorio