Abstract
The general nonlinear behavior of multiple cascaded resonators
is analyzed by using the coupled-mode theory in time and then compared to
a single resonator from the viewpoint of optical bistable operation. Our analysis
reveals that from the perspective of switching intensity, the multiple resonator
structure is more advantageous than the single resonator with an equivalently
increasing quality factor. It is also shown that a switching intensity-response
time product, suggested as a performance metric for optical bistable devices,
decreases linearly as the number of cascaded resonators increases. The effect
of coupling <i>n</i> resonators
is equivalent to a single resonator device with <i>n</i>-time increased quality factor in terms
of the performance metric. The coupled-mode theory analysis is confirmed by
a numerical study of the bistable operation of one-dimensional photonic crystal
resonator structures using the finite-difference time-domain method.
© 2012 IEEE
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