2005
DOI: 10.1103/physrevlett.94.183903
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Band Gap Formation and Multiple Scattering in Photonic Quasicrystals with a Penrose-Type Lattice

Abstract: This Letter presents a study of the local density of states (LDOS) in photonic quasicrystals. We show that the LDOS of a Penrose-type quasicrystal exhibits small additional band gaps. Among the band gaps, some exhibit a behavior similar to that typical of photonic crystals, while others do not. The development of certain band gaps requires large-size quasicrystals. It is explained by the long-range interactions involved in their formation. Moreover, the frequencies where the band gaps occur are not necessarily… Show more

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Cited by 104 publications
(21 citation statements)
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“…One-dimensional and two-dimensional photonic quasicrystal structures are intriguing since they have manifested exotic properties for a number of photonic applications such as negative refraction 20 , waveguiding 21 , imaging 2225 , and optical modes 26 . These properties primarily rely on the presence of multiple band gaps and multi-frequency characters 2734 , resulting from a large number of reciprocal vectors presented in the reciprocal lattice space 11,20,35,36 . A prevailing method in quasicrystal study originates from the implementation of quasicrystal metasurfaces (QCMs) that may replace bulky devices with ultrathin elements 17 .…”
Section: Introductionmentioning
confidence: 99%
“…One-dimensional and two-dimensional photonic quasicrystal structures are intriguing since they have manifested exotic properties for a number of photonic applications such as negative refraction 20 , waveguiding 21 , imaging 2225 , and optical modes 26 . These properties primarily rely on the presence of multiple band gaps and multi-frequency characters 2734 , resulting from a large number of reciprocal vectors presented in the reciprocal lattice space 11,20,35,36 . A prevailing method in quasicrystal study originates from the implementation of quasicrystal metasurfaces (QCMs) that may replace bulky devices with ultrathin elements 17 .…”
Section: Introductionmentioning
confidence: 99%
“…The structural complexity of PQCs is measured by their spatial Fourier spectra, which are discrete (singular) for quasiperiodic systems, singular-continuous, or absolutely continuous for pseudorandom structures of increasing complexity. Two-dimensional (2D) quasiperiodic lattices possessing high rotational symmetries have been largely studied in literature [21-26]. The experimental realization of 2D PQCs is a hard fabrication challenge.…”
Section: Introductionmentioning
confidence: 99%
“…8 Dielectrics arranged according to quasiperiodic geometries such as octagonal (8-fold), decagonal (10-fold), and dodecagonal (12-fold) are shown to have a two-dimensional PBG. [9][10][11][12] Penrose-tiled (10-fold rotational symmetry) PQC's were the most studied structures among those presented above, and there were numerous studies about the mechanism of formation of a PBG, 13 optical properties, diffraction patterns, 9 and multiple scattering 11 for this geometry. An organic laser based on Penrose-tiled PQC's was also demonstrated.…”
Section: Introductionmentioning
confidence: 99%