Abstract

The group-theoretic content of photonic coupled microring resonance phenomena is shown with, in particular, an interesting emergence of pseudo-unitary groups. The application to the resonance condition in a tri-microring configuration is solved exactly. A practical application of this work will be in the resonance frequency tuning based on the coupling coefficient. In particular, the Mach–Zehnder interferometer approach was analyzed for the coupling modulation.

© 2019 Optical Society of America

Coupled resonator-induced transparency in ring-bus-ring Mach-Zehnder interferometer

Y. Zhang, S. Darmawan, L. Y. M. Tobing, T. Mei, and D. H. Zhang
J. Opt. Soc. Am. B 28(1) 28-36 (2011)

Transmission and dispersion of coupled double-ring resonators

Xin Liu, Mei Kong, and He Feng
J. Opt. Soc. Am. B 29(1) 68-74 (2012)

Analysis of optical instability in coupled microring resonators

Siamak Abdollahi and Vien Van
J. Opt. Soc. Am. B 31(12) 3081-3087 (2014)

Tunable group delay in a doubly resonant metasurface composed of two dissimilar split-ring resonators

Yasuhiro Tamayama and Yutaro Kida
J. Opt. Soc. Am. B 36(10) 2694-2699 (2019)

Critical coupling, oscillation, reflection, and transmission in optical waveguide-ring resonator systems

S. Darmawan and M. K. Chin
J. Opt. Soc. Am. B 23(5) 834-841 (2006)