We present a comprehensive theoretical investigation of the formation and propagation of multicolor ringlike soliton clusters in quadratic nonlinear materials under conditions for type I second-harmonic generation. We show the several existing propagation regimes for the soliton clusters, which include fusion, expansion, and quasi-stationary propagation. The physical mechanism that leads to each evolution is elucidated and discussed. In the case of purely expanding clusters, accurate estimates of the expansion rate are obtained with a Hamiltonian approach. The experimental formation of the different soliton clusters by induced breakup techniques is discussed in detail, and the practical limitations of the concept of quasi-stationary clusters are highlighted.
© 2002 Optical Society of America
(190.4360) Nonlinear optics : Nonlinear optics, devices
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(190.5940) Nonlinear optics : Self-action effects
Yaroslav V. Kartashov, Gabriel Molina-Terriza, and Lluis Torner, "Multicolor soliton clusters," J. Opt. Soc. Am. B 19, 2682-2691 (2002)