Localization of optics: Quasiperiodic media.
Available from: Dejan Viktor Timotijevic
- "It was during the 1980s that quasiperiodic structures in solid state physics amazed the scientific community  as it was not clear until then that structures holding short range but lacking long range order  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   . 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  . "
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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.
Available from: M. E. Mora-Ramos
- "Copyright © 2013 SciRes. OPJ Kohmoto et al. introduced the first system based on optical FN multilayers capable of localizing photons . In 1994 Gellermann et al. showed experimental proof of the existence of bandgaps in the spectrum of FN dielectric multilayers . "
Available from: if.pwr.wroc.pl
- "The transmittance can reach to 100% (perfect transmission). It can be deduced by the transmission matrix method proposed by KOHMOTO et al. , or Eqs. (1)– (3) and Eq. "
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ABSTRACT: A new kind of one-dimensional (1D) photonic crystal (PC) filter is reported in this paper. This kind of a filter is a dimerlike heterostructure constructed by two 1D dielectric and magnetic PCs. Compared with traditional filters based upon 1D pure dielectric PCs, the new one has the advantage of extending the omnidirectional filtering (ODF) band and simplifying the structure due to its large wave impedance contrast between the composites and the reasonable arrangement of the layer thicknesses and the number of periods. To design such a filter, we adopted a combined method by the transmission matrix method and the decimal genetic algorithm, and finally we obtained a high-precision 1D PC filter design which not only shows a very broad relative ODF band of 1.496, but also has a simple structure with less total number of layers and less total thickness. The simplification of structure is conductive to device fabrication. Besides, an example with low dispersive and low dissipative magnetic material for microwave application is also discussed.
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