Abstract
The filtering performance of a synchronized-router-based
flat-passband filter with random phase errors is analyzed. For this purpose,
an analytical model of a synchronized-router-based flat-passband filter using
a multiple-input arrayed waveguide grating (AWG) with phase errors is derived
without the assumption of the independence of random errors so that the model
can treat general types of phase errors. For average transmittance, we proposed
the analytical model for the variance of transmittance for a multiple-input
AWG to predict the deviation of the transmittance. By using the proposed analytical
model, device performance can be estimated once the spectral information of
phase errors is given. The analysis clarifies that the frequency dependence
of crosstalk reflects the spatial spectral distribution of phase errors. We
also compared the transmittance characteristics of the synchronized-router-based
flat-passband filter with conventional Gaussian and flat-type AWGs. We found
that the crosstalk in the synchronized-router type has a different behavior
from those in the conventional types, i.e., the crosstalk in the synchronized-router
type has a periodic behavior according to the function of the input router.
The probability distribution of the transmittance of the flat-passband filter
is also calculated by random simulation and compared with the result from
the analytical model. The agreement between the model and the random simulation
confirms that the proposed model is effective for analytically estimating
the performance of a synchronized-router-based flat-passband filter with phase
errors.
© 2011 IEEE
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