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• W2397774686 abstract "We present an analytically exact scheme of unraveling a multitude of flat, dispersionless photonic bands in a kagome waveguide strip where each elementary plaquette hosts a deterministic fractal geometry of arbitrary size. The number of non-dispersive eigenmodes grows as higher and higher order fractal geometry is embedded in the kagome motif. Such eigenmodes are found to be localized with finite support in the kagome strip and exhibit a hierarchy of localization areas. The onset of localization can, in principle, be delayed in space by an appropriate choice of frequency of the incident wave. The length scale at which the onset of localization for each mode occurs, can be tuned at will as prescribed here using a real space renormalization method. Conventional methods of extracting the non-dispersive modes in such geometrically frustrated lattices fail as a non-translationally invariant fractal decorates the unit cells in the transverse direction. The scheme presented here circumvents this difficulty, and thus may inspire the experimentalists to design similar fractal incorporated kagome or Lieb class of lattices to observe a multifractal distribution of flat photonic bands." @default.
• W2397774686 created "2016-06-24" @default.
• W2397774686 creator A5061763044 @default.
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• W2397774686 date "2016-01-06" @default.
• W2397774686 modified "2023-09-27" @default.
• W2397774686 title "Engineering slow light and mode crossover in a fractal-kagome waveguide network" @default.
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• W2397774686 doi "https://doi.org/10.1103/physreva.93.013807" @default.
• W2397774686 hasPublicationYear "2016" @default.
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