Photorefractive Solitons (Chapter in Springer book ... - Tripod
Photorefractive Solitons (Chapter in Springer book ... - Tripod
Photorefractive Solitons (Chapter in Springer book ... - Tripod
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
30 E. DelRe, M. Segev, D. Christodoulides, B. Crosignani, and G. Salamo<br />
to soliton physics: not only energy (power) and momentum are conserved,<br />
but also the conservation of angular momentum, which is the fundamental<br />
symmetry that enables spiral<strong>in</strong>g. These pioneer<strong>in</strong>g experiments are a characteristic<br />
example of the contribution of photorefractive solitons to nonl<strong>in</strong>ear<br />
science.<br />
Fig. 20. Collisions, from [49]. Top view of collid<strong>in</strong>g <strong>in</strong>coherent diffract<strong>in</strong>g beams<br />
and solitons for different relative angles.<br />
Fig. 21. Hybrid-soliton collisions, from [104]. (a) <strong>in</strong>put launch of a two-dimensional<br />
and a one-dimensional diffract<strong>in</strong>g beam, output <strong>in</strong>tensity distribution with no applied<br />
field, output <strong>in</strong>tensity distribution with applied self-trapp<strong>in</strong>g field; (b) same<br />
as (a) but for a smaller collision angle; (c-d) s<strong>in</strong>gle beam self-trapp<strong>in</strong>g <strong>in</strong> the same<br />
experimental conditions.<br />
It is <strong>in</strong>terest<strong>in</strong>g to compare soliton and plane-wave <strong>in</strong>teraction phenomenology<br />
<strong>in</strong> a photorefractive. The cross<strong>in</strong>g of two plane waves, even at low<br />
angles of the order of fractions of a degree, leads to energy transfer, which,<br />
even if mediated by space-charge components of the order of η, br<strong>in</strong>gs to<br />
f<strong>in</strong>ite if not total coupl<strong>in</strong>g from one beam to the other. Two solitons, on the<br />
other hand, behave <strong>in</strong> a diametrically opposite manner: they cross each other<br />
without appreciable energy transfer, even when they are mutually coherent.