Abstract
Optimal cross-sectional shapes of whispering-gallery ring resonators
with prescribed emission wavelength and resonance mode are generated using
topology optimization based on the finite element method. The two critical
performance indices, the quality factor (Q factor)
and mode volume of a resonator, are treated as the objective functions in
the optimization. In our numerical study, characteristics of optimal configurations
are identified and analyzed. Since the Q factor
and mode volume have a tradeoff relationship, i.e., an increasing Q factor increases mode volume, a Pareto-optimal
set of solutions can be identified under certain device specifications. These
configurations achieve better performances than existing shapes in producing
both a high Q factor and low mode
volume.
© 2012 IEEE
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