Abstract
A statistical model is proposed for estimating the chromatic dispersion in the
passband of a filter using an arrayed waveguide grating (AWG) with random phase errors.
The model is derived without assuming the independence of random errors and can be
applied to AWGs with frequency-dependent array amplitude coefficients as well as
conventional AWGs. The average and variance of the chromatic dispersion in the passband
can be calculated by using simple expressions without random computation once the
standard deviation and correlation of random phase errors are given. The behavior of the
chromatic dispersion in a synchronized-router-based flat-passband filter consisting of a
multiple-input AWG and cascaded Mach-Zehnder interferometers (MZIs) was investigated.
The standard deviation of the chromatic dispersion monotonically increases with the
standard deviation of random phase errors, and has a distinctive dependence on
frequency. The average and standard deviation of the chromatic dispersion in the
passband obtained by the model are in good agreement with those obtained by random
simulation for both a synchronized-router-based flat-passband filter and conventional
AWGs.
© 2013 IEEE
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