Open AccessMode control through anti-Hermitian coupling in regular-polygonal microcavities with non-uniform gain and loss
Author(s) -
Yue-De Yang,
You-Zeng Hao,
Chun-Guang Ma,
Zheng-Zheng Shen,
Jin-Long Xiao,
YongZhen Huang
Publication year - 2020
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.411298
Subject(s) - physics , whispering gallery wave , optics , coupling (piping) , hermitian matrix , transverse plane , coupled mode theory , rectangle , field (mathematics) , spectral line , mode (computer interface) , resonator , quantum mechanics , refractive index , geometry , materials science , mathematics , structural engineering , pure mathematics , computer science , metallurgy , engineering , operating system
We theoretically and numerically study optical modes in regular-polygonal microcavities with non-uniform gain and loss, where high quality (Q) whispering-gallery-like modes typically appear as superscar states. High Q superscar modes can be described by the propagating plane waves in an effective rectangle formed by unfolding the periodic orbits and exhibit regular and predictable spatial field distributions and transverse-mode spectra. With non-uniform gain and loss, anti-Hermitian coupling between the transverse modes with close frequencies occurs according to the mode coupling theory, which results in novel mode properties such as modified mode spectra and field patterns, and the appearance of exceptional points. Numerical simulation results are in good agreement with the theoretical analyses, and such analyses are also suitable for other kinds of high Q microcavities with non-uniform gain and loss. These results will be highly useful for studying non-Hermitian physics in optical microcavities and advancing the practical applications of microcavity devices.