Abstract
We analyze micro-ring resonator chains that have a system response with $N$-th order poles
and zeroes when the chain consists of $N$ unit cells. These include the recently proposed zigzag micro-ring
resonator chains exhibiting new fast- and slow- light properties and a dual
ring chain for which the explicit expression of the system function is given.
We discuss the realization of ultrahigh order structures with sharp peaks
and large out-of-band rejection filters, ultra-sharp notch optical filters
for optical carrier suppression and the general properties of slow and fast
light phenomena in this type of systems. All the analyses are based on the
pole-zero representation of the system function. A tuning mechanism for the
modified dual-ring structures acting as notch filters is also proposed.
© 2011 IEEE
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