Effect of a Linear Frequency Modulation on the Nonlinear Dynamics of an Electromagnetic Pulse in a Graded-index Waveguide
The present paper is aimed at a consistent analytical description of a combined interplay of linear frequency modulation of the high-frequency carrier,nonlinearity,and inhomogeneity of an optical fiber on the propagation of an arbitrary mode feasible in the fiber,with vortex modes included.Formal asymptotic procedure is applied to the problem of wave propagation and equations for the mode structure and the envelope of the chirped pulse are derived.Lagrangian is proposed enabling to reformulate the envelope equation as a variational problem which is then solved for the case of travelling pulse of an arbitrary shape.Explicit expressions for the pulse parameters are derived via characteristics of the gradient optical fiber and the structure of propagating mode.
I.M.Oreshnikov M.A.Bisyarin
Faculty of Physics,Saint-Petersburg University,Saint-Petersburg,Russia
国际会议
Progress in Electromagnetics Research Symposium 2014(2014年电磁学研究新进展学术研讨会)
广州
英文
1758-1762
2014-08-01（万方平台首次上网日期，不代表论文的发表时间）