Abstract
Light wave behaviors in two-dimensional quasiperiodic regular and generalized decagonal Penrose-tiling dielectric media, which display similar long range structure order and different local configurations, are studied comparatively in relation with both global and local orders through the approximant structures. We show that these structures generate analogous photonic band gaps, which are determined by the lattice global average order. Light localization, with frequency levels lying inside the main photonic band gaps, occurs in local regions of high symmetry patterns in the generalized decagonal structure, while it is absent in the regular Penrose tiling. This is analyzed in terms of local symmetry that favors resonances between neighbor scatterers, as well as relations between local and global structure configurations that determine the localized mode frequency levels relative to the photonic band gaps.
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