First-order multiple-scale perturbation theory is used to derive a set
of coupled-mode equations valid for electromagnetic-wave propagation
in a weakly periodic, nonlinear medium with periodicity on the order o
f a wavelength. We apply this to a problem where the medium has a chi(
(2)) response and find that the second-harmonic signal generated is en
hanced when the fundamental is tuned near the band edge. Results are g
iven for a possible experiment with optical fibers.