Geometrical structure, multifractal spectra and localized optical modes of aperiodic Vogel spirals

Optics Express
Jacob TrevinoLuca Dal Negro

Abstract

We present a numerical study of the structural properties, photonic density of states and bandedge modes of Vogel spiral arrays of dielectric cylinders in air. Specifically, we systematically investigate different types of Vogel spirals obtained by the modulation of the divergence angle parameter above and below the golden angle value (≈137.507°). We found that these arrays exhibit large fluctuations in the distribution of neighboring particles characterized by multifractal singularity spectra and pair correlation functions that can be tuned between amorphous and random structures. We also show that the rich structural complexity of Vogel spirals results in a multifractal photonic mode density and isotropic bandedge modes with distinctive spatial localization character. Vogel spiral structures offer the opportunity to create novel photonic devices that leverage radially localized and isotropic bandedge modes to enhance light-matter coupling, such as optical sensors, light sources, concentrators, and broadband optical couplers.

References

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Apr 7, 2011·Nano Letters·Jacob TrevinoLuca Dal Negro

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Citations

Jun 21, 2012·Optics Express·Jacob TrevinoLuca Dal Negro
Sep 4, 2012·Advanced Materials·Dianmin LinLuca Dal Negro
Apr 30, 2016·Optics Letters·Aristi ChristofiLuca Dal Negro
Dec 15, 2018·Optics Letters·Taotao ZhaoZhenqiang Chen
Jul 10, 2012·Optics Express·Antonio CaprettiLuca Dal Negro
Mar 21, 2012·Nanoscale·Emanuele Francesco PecoraLuca Dal Negro

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