Abstract

Using the rigorous Green’s function spectral method, we systematically investigate the scattering resonances of different types of Vogel spiral arrays of point-like scatterers. By computing the distributions of eigenvalues of the Green’s matrix and the corresponding eigenvectors, we obtain important physical information on the spatial nature of the optical modes, their lifetimes and spatial patterns, at small computational cost and for large-scale systems. Finally, we show that this method can be extended to the study of three-dimensional Vogel aperiodic metamaterials and aperiodic photonic structures that may exhibit a richer spectrum of localized resonances of direct relevance to the engineering of novel optical light sources and sensing devices.

© 2016 Optical Society of America

Compact localized states of open scattering media: a graph decomposition approach for an ab initio design

Fabrizio Sgrignuoli, Malte Röntgen, Christian V. Morfonios, Peter Schmelcher, and Luca Dal Negro
Opt. Lett. 44(2) 375-378 (2019)

Analytical light scattering and orbital angular momentum spectra of arbitrary Vogel spirals

Luca Dal Negro, Nate Lawrence, and Jacob Trevino
Opt. Express 20(16) 18209-18223 (2012)

Aperiodic Vogel spirals for broadband optical wave focusing

Taotao Zhao, Yanwen Hu, Shenhe Fu, Xiaonan Li, Yikun Liu, Hao Yin, Zhen Li, Juntao Li, and Zhenqiang Chen
Opt. Lett. 43(24) 5969-5972 (2018)

Control of optical orbital angular momentum by Vogel spiral arrays of metallic nanoparticles

Nate Lawrence, Jacob Trevino, and Luca Dal Negro
Opt. Lett. 37(24) 5076-5078 (2012)

Edge modes of scattering chains with aperiodic order

Ren Wang, Malte Röntgen, Christian V. Morfonios, Felipe A. Pinheiro, Peter Schmelcher, and Luca Dal Negro
Opt. Lett. 43(9) 1986-1989 (2018)