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Coupled ring resonance and unitary groups

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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

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