Abstract In this paper a comprehensive framework for treating the nonlinear propagation of ultrashort pulse in metamaterial with dispersive dielectric susceptibility and magnetic permeability is presented. Under the slowly-evolving-wave approximation, a generalized (3+1)-dimensional wave equation first order in the propagation coordinate and suitable for both right-handed material (RHM) and left-handed material (LHM) is derived. By the commonly used Drude dispersive model for LHM, a (3+1)-dimensional nonlinear Schr?dinger equation describing ultrashort pulsed beam propagation in LHM is obtained, and its difference from that for conventional RHM is discussed. Particularly, the self-steeping effect of ultrashort pulse is found to be anomalous in LHM.
Received: 23 March 2006
Revised: 24 May 2006
Accepted manuscript online:
PACS:
42.70.Nq
(Other nonlinear optical materials; photorefractive and semiconductor materials)
(Ultrafast processes; optical pulse generation and pulse compression)
Fund: Supported by the National Natural Science Foundation of China (Grant Nos 10576012 and 60538010), the Program for New Century Excellent Talents in University and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No
Cite this article:
Hu Yong-Hua(胡勇华), Fu Xi-Quan(傅喜泉), Wen Shuang-Chun(文双春), Su Wen-Hua(苏文华), and Fan Dian-Yuan(范滇元) (3+1)-dimensional nonlinear propagation equation for ultrashort pulsed beam in left-handed material 2006 Chinese Physics 15 2970
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