Localization of optics: Quasiperiodic media.

Physical Review Letters (Impact Factor: 7.51). 07/1987; 58(23):2436-2438.
Source: PubMed
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    • "It was during the 1980s that quasiperiodic structures in solid state physics amazed the scientific community [1] as it was not clear until then that structures holding short range but lacking long range order [2] can emerge in nature. As in many cases solid state physics can easily be transferred to photonic systems since their mathematical description of wave propagation have similar structures, only a short time after this discovery first optical experiments were implemented in order to analyze quasiperiodic media [3] [4] [5]. Such as in the latter publication, asking for quasiperiodic structures rapidly the nomenclature of a Fibonacci grating came up for this often is referred to as the embodyment of irregularity [2] [6]. "
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    ABSTRACT: We report on the optical induction of Fibonacci lattices in photorefractive strontium barium niobate by use of Bessel beam waveguide-wise writing techniques. Fibonacci elements A and B are used as lattice periods. We further use the induced structures to execute probing experiments with variously focused Gaussian beams in order to observe light confinement owing to the quasiperiodic character of Fibonacci word sequences. Essentially, we show that Gaussian beam expansion is just slowed down in Fibonacci lattices, as compared with appropriate periodic lattices.
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    • "Copyright © 2013 SciRes. OPJ Kohmoto et al. introduced the first system based on optical FN multilayers capable of localizing photons [2]. In 1994 Gellermann et al. showed experimental proof of the existence of bandgaps in the spectrum of FN dielectric multilayers [17]. "
    Optics and Photonics Journal 01/2013; 03(02):1-12. DOI:10.4236/opj.2013.32A001 · 0.63 Impact Factor
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    • "The trace-map technique [19] has proven to be a powerful tool to investigate the properties of various aperiodic systems. The transfer matrices A l used in the trace-map technique are written as [11]: "
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    ABSTRACT: The transmission properties in microwave domains (10 GHz to 40 GHz) of generalized dielectric Fibonacci multilayer generated by the rule S<sub>l</sub> <sub>+1</sub> = S<sup>m</sup><sub>l</sub>S<sup>n</sup><sub>l</sub> <sub>–1</sub>: with a pair of positive integers m and n were studied. The initial generations of generalized Fibonacci sequence are taken as follows: S <sub>0</sub> = L and S <sub>1</sub> = H , where H and L are two elementary layers with refractive indices n<sub>L</sub> = 1 (air) and n<sub>H</sub> = 3 (ceramic). The so-called “trace map method” was used to simulate the transmission spectra of the multilayer structures at normal incidence. Based on the representation of the transmittance spectra in the microwave range an analysis depending on the pair ( n , m ) is presented. It has been shown that the reflection bands of the proposed quasi-periodic structure could cover the whole spectral range. By comparison, it is impossible to reach this result by using the periodical multilayer structure.
    Optica Applicata 01/2009; · 0.46 Impact Factor
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