Abstract
Simple and efficient approaches for filter design at optical frequencies using a large number of coupled microcavities are proposed. The design problem is formulated as an optimization problem with a unique global solution. Various efficient filter designs are obtained at both the drop and through ports. Our approaches are illustrated through a number of examples.
Highlights
IntroductionsMultiple coupled microcavities have been widely utilized for optical communication systems [1,2,3,4,5,6,7,8,9]
Simple and efficient approaches for filter design at optical frequencies using a large number of coupled microcavities are proposed
Multiple coupled microcavities have been widely utilized for optical communication systems [1,2,3,4,5,6,7,8,9]
Summary
Multiple coupled microcavities have been widely utilized for optical communication systems [1,2,3,4,5,6,7,8,9]. Other approaches are developed for the optimal placement of zeros and poles of the filter transfer function [23] and [24] These approaches are intended for the design of parallel and series coupled ring resonators [24]. Using these approaches, tapering of the coupling parameters is done intuitively [24] This intuitive tuning is successful for a small set of cascaded series or parallel ring resonators. Though these techniques are simple, they can design filters with tens of coupled microcavities in few seconds These techniques are based on adopting simplified transfer functions that transform the nonlinear optimization problem of highly coupled parameters to a linear optimization problem with a global solution.
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