Abstract
Coupled resonator optical waveguide (CROW) may play an important role
in future integrated optical devices. In this paper, a closed form formula
for the calculation of the transfer function of a photonic crystal (PC) CROW
coupled to an input and an output PC waveguide is derived. Coupled mode theory
(CMT) is initially used for the derivation of a semi-analytical transfer function
model. This model requires the computation of the inverse of a matrix containing
the coupling coefficients of the device. The model is compared to the results
obtained by the finite-difference time domain (FDTD) and good agreement is
obtained. Using the tight-binding approximation, the semi-analytical model
is used to derive an analytical solution for the transfer function of the
structure directly from the coupling coefficients of the device. Based on
this analytical model, the resonant frequencies of the structure are determined.
© 2008 IEEE
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