
442 CHAPTER 12. SOLITONS IN PHOTONIC CRYSTALS
Jn,m
decrease with distances n and m rapidly, the low-amplitude modes of Eq. (12.4.1)
with edo = 11.4 are essentially stable for Jo,o/Jo,1 < 13. This estimate is usually lower
in our case because the stabilization is favored by the long-range interactions.
It should be mentioned that the stabilization of low-amplitude 2D localized modes
is not inherent to all types of nonlinear photonic crystals. On the contrary, photonic
crystals must be carefully designed to support stable low-amplitude nonlinear modes.
For example, for the photonic crystal considered in this section, such modes are stable ...