The preceding analysis can be extended to include the nonlinearities of the defect
rods by assuming that the dielectric constant
ed
depends on the field intensity at the
site of the defect. In the case of a Kerr-type nonlinearity, we assume
ed(Em) = edO +
e21Eml2
in Eq. (12.2.9). We can also extend the analysis to the case of optical pulses by
using Eq. (12.1.7). Assuming again that the optical field inside a defect rod is almost
constant, we obtain, for the amplitudes of the optical field inside the defect rods, the
following time-dependent
discrete nonlinear equation:
itr ff---~En - En
+ EJn-m(to)(EdO -[" ...
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