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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 4 — Feb. 20, 2006
  • pp: 1568–1575

Role of the anomalous self-steepening effect in modulation instability in negative-index material

Shuangchun Wen, Yuanjiang Xiang, Wenhua Su, Yonghua Hu, Xiquan Fu, and Dianyuan Fan  »View Author Affiliations

Optics Express, Vol. 14, Issue 4, pp. 1568-1575 (2006)

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In negative-index materials (NIMs), the self-steepening (SS) effect is proven to be anomalous in two aspects: First, it can be either positive or negative, with the zero SS point determined by the size of split-ring resonator circuit elements. Second, the negative SS parameter can have a very large value compared to an ordinary positive-index material. We present a theoretical investigation on modulation instability (MI) to identify the role of the anomalous SS effect in NIM. We find that the first anomaly of SS doesn’t influence MI, yet the controllable zero SS point can be used to manipulate MI, and thus manipulate the generation of solitons. The second anomaly, however, leads to significant changes in the MI condition and property, compared with the case of an ordinary positive-index material. Numerical simulations confirm the theoretical results and show that negative SS moves the center of generated pulse toward the leading side, and shifts a part of energy of the generated pulse toward the red side, opposite to the case of positive SS.

© 2006 Optical Society of America

OCIS Codes
(190.3100) Nonlinear optics : Instabilities and chaos
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:

Original Manuscript: January 11, 2006
Revised Manuscript: February 11, 2006
Manuscript Accepted: February 13, 2006
Published: February 20, 2006

Shuangchun Wen, Yuanjiang Xiang, Wenhua Su, Yonghua Hu, Xiquan Fu, and Dianyuan Fan, "Role of the anomalous self-steepening effect in modulation instability in negative-index material," Opt. Express 14, 1568-1575 (2006)

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