Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2003-11-08
"Progress in Optics", Vol. 47, Ed. E. Wolf (Elsevier, Amsterdam, 2005), pp. 1-73.
Nonlinear Sciences
Pattern Formation and Solitons
To be published in Progress in Optics
Scientific paper
We present a comprehensive overview of different types of parametric interactions in nonlinear optics which are associated with simultaneous phase-matching of several optical processes in quadratic nonlinear media, the so-called multistep parametric interactions. We discuss a number of possibilities of double and multiple phase-matching in engineered structures with the sign-varying second-order nonlinear susceptibility, including (i) uniform and non-uniform quasi-phase-matched (QPM) periodic optical superlattices, (ii) phase-reversed and periodically chirped QPM structures, and (iii) uniform QPM structures in non-collinear geometry, including recently fabricated two-dimensional nonlinear quadratic photonic crystals. We also summarize the most important experimental results on the multi-frequency generation due to multistep parametric processes, and overview the physics and basic properties of multi-color optical parametric solitons generated by these parametric interactions.
Kivshar Yuri S.
Saltiel Solomon M.
Sukhorukov Andrey A.
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