1997
DOI: 10.1103/physrevb.55.3543
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Propagation of light waves in Thue-Morse dielectric multilayers

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Cited by 144 publications
(83 citation statements)
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“…In fact, in the case ␦ A ϵ␦ B ϭn , the half-wavelength condition is satisfied at every layer, so that Q A ϭI and Q B ϭ(Ϫ1) n I, and the transparency condition Tϭ1 is trivially obtained. 19,20,[22][23][24]31,32 Analogously, in the case ␦ B ϭn , we get Tϭ1 for any ␤ as well. In this case the two-component FDM will behave like an equivalent homogeneous periodic medium, characterized by an effective thickness dЈϵ(pϩq)d A and a refraction index n A .…”
Section: Quasiperiodicity Effects In the Light Transmissionmentioning
confidence: 81%
See 1 more Smart Citation
“…In fact, in the case ␦ A ϵ␦ B ϭn , the half-wavelength condition is satisfied at every layer, so that Q A ϭI and Q B ϭ(Ϫ1) n I, and the transparency condition Tϭ1 is trivially obtained. 19,20,[22][23][24]31,32 Analogously, in the case ␦ B ϭn , we get Tϭ1 for any ␤ as well. In this case the two-component FDM will behave like an equivalent homogeneous periodic medium, characterized by an effective thickness dЈϵ(pϩq)d A and a refraction index n A .…”
Section: Quasiperiodicity Effects In the Light Transmissionmentioning
confidence: 81%
“…Similarly, the introduction of the Fibonacci dielectric multilayer ͑FDM͒ by Kohmoto and collaborators 19 spurred the interest for both possible optical applications 20,21 and theoretical aspects of light transmission in aperiodic media. [22][23][24][25][26] This interest has motivated several theoretical works aimed to understand the interplay between the optical properties and the underlying aperiodic order of the system through the study of exciton optical absorption 27 and fluorescence decay in aperiodic lattices. 28 At the same time, new insights into the optical capabilities of aperiodically ordered systems have been recently demonstrated by a number of experimental achievements, involving second- 29 and third-harmonic generation, 30 as well as the possible localization of light waves in FDM's.…”
Section: Introductionmentioning
confidence: 99%
“…Even if these structures do not have a translational symmetry, they show several interesting physical properties such as the photonic band gaps, some resonance frequencies, and some high localized states (Soukoulis & Economou, 1982). Thue-Morse (T-M) (Liu, 1997) sequence is one of the most common examples of one dimensional QC. The T-M one dimensional structure is constituted by the sequence of two layers A and B with refractive index n A (n B ) and thickness d A (d B ).…”
Section: Thue-morse Sequencesmentioning
confidence: 99%
“…For the TE wave, the electromagnetic field can be described by a two component wave function [33,34] …”
Section: Theoretical Analysismentioning
confidence: 99%