Bloch Analysis of Finite Periodic Microring Chains
Matteo Cherchi
TL;DR
This paper applies Bloch analysis to finite periodic microring chains, providing exact solutions for transmission, reflection, and field distribution, with insights into resonance features and experimental verification.
Contribution
It introduces a novel application of Bloch analysis to finite microring chains, deriving exact analytical expressions for optical properties and field distributions.
Findings
Exact expressions for transmission and reflection coefficients
Closed-form solutions for the field distribution
Insights into the physical features of transmission resonances
Abstract
We apply Bloch analysis to the study of finite periodic cascading of microring resonators. Diagonalization of the standard transfer matrix approach not only allows to find an exact analytic expression for transmission and reflection, but also to derive a closed form solution for the field in every point of the structure. To give more physical insight we analyze the main features of the transmission resonances in a finite chain and we give some hints for their experimental verification
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