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Non-Hermitian flat bands in rhombic microring resonator arrays

Authors :
Peixiang Lu
Lu Ding
Bing Wang
Shaolin Ke
Zekun Lin
Source :
Optics express. 29(15)
Publication Year :
2021

Abstract

We investigate the flat bands in a quasi-one-dimensional rhombic array composed of evanescently coupled microring resonators (MRRs) with non-Hermitian coupling. By changing the relative position of non-Hermitian coupling in each cell, we construct topologically trivial and nontrivial flat bands, where both the real and imaginary parts of energy bands become flat and coalesce into a single band. We show the nontrivial systems are able to support topological boundary modes isolated from the flat bulk bands although there is no band gap. The elusive topology of flat bands can be geometrically visualized by plotting the trajectories of their eigenvectors on Bloch sphere based on Majorana’s stellar representation (MSR). Furthermore, we perform a full wave simulation and show the characteristics of flat bands, associated compact localized modes, and boundary modes are reflected from absorption spectra and field intensity profiles. The study may find potential applications in lasers, narrowband filters, and efficient light harvesting.

Details

ISSN :
10944087
Volume :
29
Issue :
15
Database :
OpenAIRE
Journal :
Optics express
Accession number :
edsair.doi.dedup.....e837a3d18d3262d87414c2bdc016180e