Collisions between discrete spatiotemporal dissipative Ginzburg-Landau solitons in two-dimensional photonic lattices

• Authors: Dumitru Mihalache , Dumitru Mazilu , Falk Lederer
• Languages of publication: EN

Abstracts

EN

Systematic results of collisions between discrete spatiotemporal dissipative Ginzburg-Landau solitons in two-dimensional photonic lattices are reported. The generic outcomes are identified for (i) the collision of two identical solitons located in the corner, at the edge, and in the center of the photonic lattice, and for (ii) the collision of two non-identical corner and edge solitons located at different distances from the boundaries of the photonic lattice. Depending on the values of the kick (collision momentum) and of the nonlinear (cubic) gain, the collision scenarios include soliton merging, creation of an extra soliton, soliton bouncing, soliton spreading, and quasi-elastic (symmetric) interactions.

Keywords

EN

discrete spatiotemporal optical solitons; dissipative Ginzburg-Landau solitons; photonic lattices

Discipline

• 05.45.Yv: Solitons(see 52.35.Sb for solitons in plasma; for solitons in acoustics, see 43.25.Rq—in Acoustics Appendix; see 42.50.Md, 42.65.Tg, 42.81.Dp for solitons in optics; see also 03.75.Lm in matter waves; for solitons in space plasma physics, see 94.05.Fg; for solitary waves in fluid dynamics, see 47.35.Fg)
• 42.65.Tg: Optical solitons; nonlinear guided waves(for solitons in fibers, see 42.81.Dp)
• 42.65.Sf: Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics
• 47.20.Ky: Nonlinearity, bifurcation, and symmetry breaking

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 1
• Pages: 77-86

Dates

published

1 - 2 - 2010

online

15 - 11 - 2009

Contributors

author

Dumitru Mihalache

• Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH), 407 Atomistilor, Magurele-Bucharest, 077125, Romania

author

Dumitru Mazilu

• Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH), 407 Atomistilor, Magurele-Bucharest, 077125, Romania

author

Falk Lederer

• Institute of Solid State Theory and Theoretical Optics, Friedrich-Schiller Universität Jena, Max-Wien-Platz 1, D-07743, Jena, Germany

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Identifiers

DOI

10.2478/s11534-009-0078-9