Abstract
A method for obtaining the optimal canonic design of optical filters based
on parallel-cascaded arrays of symmetric two-port microring networks is
presented. The approach is based on the all-pass decomposition of the
parallel-cascaded microring architecture, whereby the filter is transformed
into an equivalent sum-difference all-pass microring circuit via a
similarity transformation of the transfer matrix. The sum-difference
transformation also helps reveal important properties of the
parallel-cascaded microring architecture, such as the doubly complementary
nature of its transfer functions, and the existence and uniqueness of the
canonic form of parallel-cascaded arrays of symmetric microring
networks.
© 2009 IEEE
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