Abstract
Integrated optical filters having elliptic transfer functions are proposed using two-dimensional arrays of
synchronously tuned mutually coupled microring resonators. Analysis of microring filter topologies of the most
general form is facilitated by the formulation of an energy-coupling matrix for the microring array. A method for
synthesizing elliptic microring filter transfer functions having the prescribed transmission poles and zeros is also
presented. The approach involves representing the microring filter by an equivalent electrical network of coupled
LC oscillators and applying the coupling matrix technique
developed for micro-wave filters to determine the coupling parameters. An example of a sixth-order elliptic function
filter is presented to demonstrate the feasibility of using mutually coupled microring resonators to realize optical
filters having finite transmission zeros in the transfer function.
© 2007 IEEE
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