A theoretical framework is presented for analyzing and synthesizing coupled microring devices of the most general coupling topology. The approach is based on the modeling of an arbitrary system of coupled microresonators by an equivalent electrical network of coupled LC oscillators. The equivalent circuit model enables well-established microwave filter techniques to be leveraged for the design and synthesis of optical filters, allowing complex coupledmicroring architectures to be explored for advanced applications in high-order filtering, dispersion engineering and other spectral shaping functions.
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