Multiple Scattering of Light in Three-Dimensional Photonic Quasicrystals

Ledermann, Alexandra; Freymann, Georg von; Wiersma, Diederik S.; Kallenberg, M.; Wegener, Martin

doi:10.1364/iqec.2009.itha3

Cited by 2 publications

(3 citation statements)

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“…As a result, light is scattered from individual rods into the entire sphere (see Figure S4), and not only along Bragg directions, as in the crystal lattice. This leads to multiple scattering of light inside the quasicrystals, as previously reported based on analysis of experimental data 23 . The first consequence is the glow of the entire sample Figures 4 (b,e), which is absent in the case of periodic woodpile Figures 4 (a,d).…”

Section: Observation Of Intrinsic Light Localizationsupporting

confidence: 62%

“…However, the effect was observed only in 2D quasicrystalline structures in the presence of strong disorder 8 or under the action of nonlinearity 20 . Nevertheless, the existence of a clearly defined photonic band structure in 3D icosahedral quasicrystals 21 , the observation of Bragg diffraction 22 , the multiple scattering of light within the structure 23 , and laser generation from dye-doped samples 24 were promising signs for the possibility of an experimental observation of intrinsic light localization in defect-free 3D quasicrystals Figure 1. Additional evidence is a recent report in which intrinsic localization was theoretically found in icosahedral quasicrystals 10 .…”

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confidence: 99%

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Experimental Observation of Intrinsic Light Localization in Photonic Icosahedral Quasicrystals

Sinelnik

Shishkin

et al. 2020

Advanced Optical Materials

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A key property of photonic crystals is the existence of energy pseudogaps that arise owing to multiple scattering of photons by lattices with periodically varying refractive indices. For certain photonic structures, pseudogaps merge into a complete band gap in three dimensions leading to the localization of light in a cavity mode. [15,16] In the case of disordered structures, [17] one of the most intriguing properties is the effect of Anderson localization of light, [18] the phenomenon that has been observed in a variety of structures of different dimensions. [19] Historically, the study of Anderson localization has focused on disordered substances, although the possibility of observing localization in perfect quasicrystals has also been discussed. However, the effect was observed only in 2D quasicrystalline structures in the presence of strong disorder [8] or under the action of nonlinearity. [20] Nevertheless, the existence of a clearly defined photonic band structure in 3D icosahedral quasicrystals, [21] the observation of Bragg diffraction, [22] the multiple scattering of light within the structure, [23] and laser generation from dye-doped samples [24] were promising signs for the possibility of an experimental observation of intrinsic light localization in defect-free 3D quasicrystals Figure 1. Additional evidence is a recent report in which intrinsic localization was theoretically predicted in icosahedral quasicrystals. [10] Although the Ioffe-Regel criterion [25] for localization in disordered materials (the wavelength λ becomes comparable to the transport mean free path l * , that is kl * ≤ 1, where k = 2π/λ is the wave vector) is not fulfilled in icosahedral quasicrystals, the authors argued that band flattening at high frequencies of the calculated photonic band structure corresponds to a slower group velocity and a decrease in the scattering mean free path which increases the possibility of wave localization in terms of the Ioffe-Regel condition. [10] Here, to the best of our knowledge, we present the first experimental observation of intrinsic light localization in defect-free 3D quasicrystalline material. In addition, we studied Bragg diffraction in the visible region on the same samples uncovering their regular structure. Sample Fabrication: To fabricate experimental samples, a computer model of an icosahedral quasicrystalline structure was generated first in accordance with the substitution rules. [10] These quasicrystals had icosahedral symmetry with 15 C 2v , 10 C 3v , and 6 C 5v axes, [21] which led to the absence of periodicity, despite the fact that the structures had perfect ordering and regularity. The samples herein consisted of six radial layers

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Section: Observation Of Intrinsic Light Localizationsupporting

confidence: 62%

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confidence: 99%

Experimental Observation of Intrinsic Light Localization in Photonic Icosahedral Quasicrystals

Sinelnik

Shishkin

et al. 2020

Advanced Optical Materials

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“…We have applied two-scale cut-and-projection convergence to a canonical nonlinear electrostatic problem for quasiperiodic structures generated by a periodic geometry in a higher dimensional space. Compared with earlier work on homogenization of almost periodic monotone operators [Bra91,NW07], our annex problem has a simpler, less abstract structure, and should therefore facilitate its numerical implementation in a variety of problems of physical interest, such as in electromagnetism [Wel98], where intriguing features have been observed, such as transmitted femtosecond pulses developed a trailing diffusive exponential tail that led to some controversy [LWWvF09]. We further note that our study can be adapted to the nonlinear elasticity case [PC89], whereby σ would denote a rank-4 elasticity tensor.…”

Section: Discussionmentioning

confidence: 99%