10.20: (a) oscillations of the peak intensity for the pump and SHG beams. (b) Close up
view in the range z =99 to 100. The Fibonacci building blocks A and B are also shown. (After
Ref. [122]; 9 APS.)
and mutual self-trapping of the two fields, resulting in the formation of a quadratic
soliton, despite the continuous scattering from the quasi-periodic grating.
It is important to note that such quadratic solitons do not preserve their shape per-
fectly. As seen in Figure 10.19, both the pump and SHG beams are self-trapped, but
their peak intensities and widths vary in a quasi-periodic fashion. It
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