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

被引：24

作者：

Triki, H. ^{[2
]}

Leblond, H. ^{[1
]}

Mihalache, D. ^{[1
,3
,4
]}

机构：

[1] Univ Angers, LUNAM Univ, Lab Photon Angers, EA 4464, F-49045 Angers 01, France

[2] Badji Mokhtar Univ, Fac Sci, Dept Phys, Radiat Phys Lab, Annaba 23000, Algeria

[3] Horia Hulubei Natl Inst Phys & Nucl Engn IFIN HH, Magurele 077125, Romania

[4] Acad Romanian Scientists, Bucharest 050094, Romania

来源：

OPTICS COMMUNICATIONS | 2012年 / 285卷 / 13-14期

关键词：

Few-cycle pulses; Few-cycle solitons; Modified Korteweg-de Vries equation; mKdV equation; VARYING ENVELOPE APPROXIMATION; PULSE-PROPAGATION; ELECTROMAGNETIC PULSES; DISSIPATIVE SOLITONS; NONLINEAR-OPTICS; BREAKDOWN; REGIME; MEDIA; SHOCK;

D O I：

10.1016/j.optcom.2012.02.045

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

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. (c) 2012 Elsevier B.V. All rights reserved.

引用

页码：3179 / 3186

页数：8

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