Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2004-02-13
Nonlinear Sciences
Pattern Formation and Solitons
5 pages, 8 eps figures
Scientific paper
A new approach to the nonlinear reponse of a multiplayer structure consisting of alternating dielectric materials with intensity-dependent dielectric constants is considered in both analytical and numerical viewpoints. The nonlinear feedback of the structure gives rise to an artificial potential acting as a mean-field feedback on each single dielectric material due to other layers. For superlattices resulting from a regular periodic arrangement of an infinite number of single dielectric layers, it is shown that an analytical expression of this mean-field feedback can be obtained and waveshapes of the associate gap solitons are derived. The case of a multilayer with dispersive interlayer interactions is considered numerically and leads to strongly localized gap solitons. Implicatons of the artificial soliton structure as for possible theoretical modelling of soliton-compression phenomena are discussed.
Dikande Alain Moise
Kofané Timoléon C.
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