Dark electromagnetic solitons in the anomalous group-velocity dispersion regime in metamaterials

Xi Cheng; Xiaoyu Dai; Wenhua Su; Shuangchun Wen

doi:10.1117/12.755856

4 January 2008 Dark electromagnetic solitons in the anomalous group-velocity dispersion regime in metamaterials

Xi Cheng, Xiaoyu Dai, Wenhua Su, Shuangchun Wen

Proceedings Volume 6839, Nonlinear Optics: Technologies and Applications; 683905 (2008) https://doi.org/10.1117/12.755856
Event: Photonics Asia 2007, 2007, Beijing, China

Abstract

Solitons have been found in many physical branches. Previous investigations on solitons mainly focused on various nonlinear dispersive media in nature. It is well known that in the nonlinear dispersive medium, soliton formation is due to the exact balance between the nonlinearity and the group velocity dispersion (GVD). When the signs of nonlinearity and GVD are the same, that is, the positive (focusing) nonlinearity vs. positive (normal) GVD, or the negative (defocusing) nonlinearity vs. negative (anomalous) GVD, the interaction between nonlinearity and GVD may lead to the generation of dark solitons. In this paper, we study the formation and propagation of dark electromagnetic solitons in the metamaterials, artificial structures that display properties beyond those available in naturally occurring materials. We use an extended Tanh-function expansion method to solve the nonlinear equation for ultrashort electromagnetic pulse propagation in metamaterial with a nonlinear polarization, and get dark solitary solutions under various conditions. It is found that, due to the role of the second-order nonlinear dispersion resulted from the dispersive magnetic permeability, dark solitons can be formed in the absence of linear dispersion, or even in the case of anomalous linear GVD for a focusing nonlinearity, challenging the traditional conditions for dark soliton formation.

Citation Download Citation

Xi Cheng, Xiaoyu Dai, Wenhua Su, and Shuangchun Wen "Dark electromagnetic solitons in the anomalous group-velocity dispersion regime in metamaterials", Proc. SPIE 6839, Nonlinear Optics: Technologies and Applications, 683905 (4 January 2008); https://doi.org/10.1117/12.755856

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