Coupled-Ring Resonance and Unitary Groups

Abstract

The group-theoretic content of photonic coupled microrings resonance phenomena is shown, in particular, an interesting emergence of pseudo-unitary group. 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.

arXiv comment15 pages, 11 figures

References in corpus (5)

• Optical frequency comb generation from a monolithic microresonator
• Tunable frequency combs based on dual microring resonators
• A Tale of Two Fractals: The Hofstadter Butterfly and The Integral Apollonian Gaskets
• On a Diophantine equation that generates all integral Apollonian Gaskets
• Skein relations for spin networks, modified