Derivation of a coupled system of Korteweg–de Vries equations describing ultrashort soliton propagation in quadratic media by using a general Hamiltonian for multilevel atoms - Université d'Angers Accéder directement au contenu
Article Dans Une Revue Physical Review A : Atomic, molecular, and optical physics [1990-2015] Année : 2012

Derivation of a coupled system of Korteweg–de Vries equations describing ultrashort soliton propagation in quadratic media by using a general Hamiltonian for multilevel atoms

Résumé

We consider the propagation of ultrashort solitons in noncentrosymmetric quadratically nonlinear optical media described by a general Hamiltonian of multilevel atoms. We use a long-wave approximation to derive a coupled system of Korteweg–de Vries equations describing ultrashort soliton evolution in such materials. This model was derived by using a rigorous application of the reductive perturbation formalism (multiscale analysis). The study of linear eigenpolarizations in the degenerate case and the corresponding formation of half-cycle solitons from few-cycle-pulse inputs are also presented.

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hal-03187673 , version 1 (01-04-2021)

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Hervé Leblond, Houria Triki, Dumitru Mihalache. Derivation of a coupled system of Korteweg–de Vries equations describing ultrashort soliton propagation in quadratic media by using a general Hamiltonian for multilevel atoms. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2012, 85 (5), pp.053826. ⟨10.1103/PhysRevA.85.053826⟩. ⟨hal-03187673⟩

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