Derivation of a modified Korteweg-de Vries model for few-optical-cycles soliton propagation from a general Hamiltonian

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• 作者：H. Triki^b ; H. Leblond^a ; ^{herve.leblond@univ-angers.fr} ; D. Mihalache^a ; ^c ; ^d
• 关键词：Few-cycle pulses ; Few-cycle solitons ; Modified Korteweg&ndash ; de Vries equation ; mKdV equation
• 刊名：Optics Communications
• 出版年：2012
• 期刊代码：50_00304018
• 类别：ph
• 出版时间：15 June, 2012
• 卷：285
• 期：13-14
• 页码：3179-3186
• 文件大小：451 K

摘要

Propagation of few-cycles optical pulses in a centrosymmetric nonlinear optical Kerr (cubic) type material described by a general Hamiltonian of multilevel atoms is considered. Assuming that all transition frequencies of the nonlinear medium are well above the typical wave frequency, we use a long-wave approximation to derive an approximate evolution model of modified Korteweg-de Vries type. The model derived by rigorous application of the reductive perturbation formalism allows one the adequate description of propagation of ultrashort (few-cycles long) solitons.