Abstract
Coupled resonator photonic crystal devices may find
important applications in future integrated nanophotonic
circuits. These devices are well suited for coupling of
mode analysis, which usually requires much less
computational resources compared with finite-difference
time domain (FDTD) schemes. Coupled mode models also
provide a useful physical insight in the device
operation. In this paper, we present a general coupled
mode theoretic model for the treatment of coupled cavity
devices incorporating various phenomena such as
dispersion, frequency variation of the coupling
coefficients, nonadjacent cavity coupling, and waveguide
mode self coupling. The model is validated comparing its
results against the FDTD method and the strength of the
underlying assumptions is highlighted. Various
approximations that can lead to further simplification
of the coupled mode model are also discussed. It is
shown that, unless the device transfer function
possesses very sharp resonances, coupled mode analysis
can provide an accurate device description.
© 2011 IEEE
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