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Stability of spatial solitary waves in quadratic media

Lluís TornerDepartment of Signal Theory and Communications, Polytechnic University of Catalonia, Gran Capitan D3, 08034 Barcelona, SpainNail AkhmedievOptical Sciences Center, Institute of Advanced Studies, The Australian National University, Canberra, ACT 0200, AustraliaDumitru MihalacheDepartment of Signal Theory and Communications, Polytechnic University of Catalonia, Gran Capitan D3, 08034 Barcelona, SpainDumitru MaziluDepartment of Signal Theory and Communications, Polytechnic University of Catalonia, Gran Capitan D3, 08034 Barcelona, Spain
1995en
ABI

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We investigate the stability of bright solitary waves formed by the mutual trapping of the fundamental and second-harmonic waves propagating in a nonlinear quadratic medium. First, we find that most of the solitary waves are stable under propagation. Second, we study the evolution of the solitary waves in the presence of small linear absorption. At phase matching the adiabatic evolution of the solitary waves obeys an amplitude × width-squared rule.

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