Connected hexagonal photonic crystals with largest full band gap

Fu, Han-Kuei; Chen, Y. F.; Chern, Ruey-Lin; Chang, Chien C.

doi:10.1364/opex.13.007854

Cited by 28 publications

(15 citation statements)

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“…Naturally, this result can be explained by the fact that when the dielectric rods are connected by narrow veins, we achieve a compromise between TE and TM modes, and thus a complete PBG. This argument is similar to that of the well-known honeycomb structure (Fu et al, 2005). Figures 18a and b show the photonic gap map as a function of R and D (ǫ = 11.8).…”

Section: Fabrication Of Nanovein Structures and Theoretical Analysis supporting

confidence: 83%

Fabrication of Two- and Three-Dimensional Photonic Crystals and Photonic Quasi-Crystals by Interference Technique

Lai¹,

Lin²,

Bich³

et al. 2011

Holography, Research and Technologies

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Section: Fabrication Of Nanovein Structures and Theoretical Analysis supporting

confidence: 83%

Fabrication of Two- and Three-Dimensional Photonic Crystals and Photonic Quasi-Crystals by Interference Technique

Lai¹,

Lin²,

Bich³

et al. 2011

Holography, Research and Technologies

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“…First, consider the evidence provided by numerical experiments to date. Photonic crystals are hyperuniform (an automatic consequence of periodicity) and the known examples with the largest TM, TE and complete PBGs satisfy the two conditions 10,19,20 . Our own numerical experiments indicate that hyperuniformity is a crucial condition.…”

Section: Conditions For Photonic Band Gapsmentioning

confidence: 99%

Designer disordered materials with large, complete photonic band gaps

Florescu¹,

Torquato

Steinhardt³

2009

Proc. Natl. Acad. Sci. U.S.A.

437

519

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We present designs of 2D, isotropic, disordered, photonic materials of arbitrary size with complete band gaps blocking all directions and polarizations. The designs with the largest band gaps are obtained by a constrained optimization method that starts from a hyperuniform disordered point pattern, an array of points whose number variance within a spherical sampling window grows more slowly than the volume. We argue that hyperuniformity, combined with uniform local topology and short-range geometric order, can explain how complete photonic band gaps are possible without long-range translational order. We note the ramifications for electronic and phononic band gaps in disordered materials.dielectric heterostructures ͉ electronic band gap ͉ disordered structures ͉ amorphous materials S ince their introduction in 1987, photonic band gap (PBG) materials (1, 2) have evolved dramatically, and their unusual properties have led to diverse applications, including efficient radiation sources (3), sensors (4), and optical computer chips (5). To date, although, the only known large-scale dielectric heterostructures with sizeable, complete band gaps (⌬ / C Ն 10%, say, where ⌬ is the width of the band gap and C is the midpoint frequency) have been periodic, which limits the rotational symmetry and defect properties critical for controlling the flow of light in applications.In this paper, we show that it is possible to design 2D, isotropic, translationally disordered photonic materials of arbitrary size with large, complete PBGs. The designs have been generated through a protocol that can be used to construct different types of disordered, hyperuniform structures in two or more dimensions, which are distinguished by their suppressed density fluctuations on long length scales (6) and may serve as templates for designer materials with various other novel physical properties, including electronic, phononic, elastic, and transport behavior.Here we focus on adapting the protocol for fabricating materials with optimal photonic properties because of their useful applications and because it is feasible to manufacture the dielectric heterostructure designs presented in this paper by using existing techniques. Although the goal here is to produce designs for isotropic, disordered heterostructures, we show elsewhere how the same procedure can be used to obtain photonic quasicrystals with complete PBGs (28).The design procedure includes a limited number of free parameters (two, in the cases considered here) that are varied to find the largest possible band gap in this constrained subspace of structures. The optimization requires modest computational cost as compared with full-blown optimizations that search over all possible dielectric designs. In practice, although, we find that the protocol produces band gap properties that are not measurably different from the optima obtained by the optimization methods in cases where those computations have been performed. To compute the PBGs for the various disordered structures, we employ a supercel...

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“…It is well established that two-dimensional dielectric structures based on connected network architectures favor the formation of large PBGs for transverse electric ͑TE͒ polarized radiation. [11][12][13] The largest known TE PBG is achieved in a dielectric structure obtained by decorating the links of a honeycomb network lattice with dielectric walls of a certain thickness 14 ͑also depicted in the inset of Fig. 1͒.…”

mentioning

confidence: 99%

Effects of random link removal on the photonic band gaps of honeycomb networks

Florescu

Torquato

Steinhardt

2010

Applied Physics Letters

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We explore the effects of random link removal on the photonic band gaps of honeycomb networks. Missing or incomplete links are expected to be common in practical realizations of this class of connected network structures due to unavoidable flaws in the fabrication process. We focus on the collapse of the photonic band gap due to the defects induced by the link removal. We show that the photonic band gap is quite robust against this type of random decimation and survives even when almost 58% of the network links are removed.

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Connected hexagonal photonic crystals with largest full band gap

Cited by 28 publications

References 0 publications

Fabrication of Two- and Three-Dimensional Photonic Crystals and Photonic Quasi-Crystals by Interference Technique

Fabrication of Two- and Three-Dimensional Photonic Crystals and Photonic Quasi-Crystals by Interference Technique

Designer disordered materials with large, complete photonic band gaps

Effects of random link removal on the photonic band gaps of honeycomb networks

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