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Fractal-like photonic lattices and localized states arising from singular and nonsingular flatbands

Authors :
Yuqing Xie
Limin Song
Wenchao Yan
Shiqi Xia
Liqin Tang
Daohong Song
Jun-Won Rhim
Zhigang Chen
Source :
APL Photonics, Vol 6, Iss 11, Pp 116104-116104-8 (2021)
Publication Year :
2021
Publisher :
AIP Publishing LLC, 2021.

Abstract

We experimentally realize fractal-like photonic lattices by use of the cw-laser-writing technique, thereby observing distinct compact localized states (CLSs) associated with different flatbands in the same lattice setting. Such triangle-shaped lattices, akin to the first generation Sierpinski lattices, possess a band structure where singular non-degenerate and nonsingular degenerate flatbands coexist. By proper phase modulation of an input excitation beam, we demonstrate not only the simplest CLSs but also their superimposition into other complex mode structures. Our experimental and numerical results are corroborated by theoretical analysis. Furthermore, we show by numerical simulation a dynamical oscillation of the flatband states due to beating of the CLSs that have different eigenenergies. These results may provide inspiration for exploring fundamental phenomena arising from the interplay of fractal structure, flatband singularity, and real-space topology.

Details

Language :
English
ISSN :
23780967
Volume :
6
Issue :
11
Database :
Directory of Open Access Journals
Journal :
APL Photonics
Publication Type :
Academic Journal
Accession number :
edsdoj.4f1152772dfa4b169985b68811d350cb
Document Type :
article
Full Text :
https://doi.org/10.1063/5.0068032