Transmission fingerprints in quasiperiodic dielectric multilayers

M. S. Vasconcelos and E. L. Albuquerque
Phys. Rev. B 59, 11128 – Published 1 May 1999
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Abstract

We investigate the optical transmission fingerprints in structures that exhibit deterministic disorders. A class of models that has attracted particular attention in this context are the quasiperiodic dielectric multilayers that obey a substitutional sequence. These substitutional sequence are characterized by the nature of their Fourier spectrum, which can be dense pure point (Fibonacci sequences), singular continuous (Thue-Morse and double-period sequences), and absolutely continuous (Rudin-Shapiro sequence). We use a transfer-matrix approach to derive the optical transmission coefficients. Numerical results are presented to illustrate the self-similar aspect of the spectra, as well as to show the optical fingerprint through a return map of the transmission coefficients.

  • Received 20 August 1998

DOI:https://doi.org/10.1103/PhysRevB.59.11128

©1999 American Physical Society

Authors & Affiliations

M. S. Vasconcelos and E. L. Albuquerque*

  • Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, 59072-970, Natal-RN, Brazil

  • *Author to whom correspondence should be addressed. FAX: (55)(84)2153791; electronic address: ela@dfte.ufrn.br

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Vol. 59, Iss. 17 — 1 May 1999

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