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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 29, Iss. 6 — Jun. 1, 2012
  • pp: 1330–1337

Anomalous self-steepening, temporal pulse splitting and ring formation in a left-handed metamaterial with cubic nonlinearity

Ajit Kumar and Akhilesh Kumar Mishra  »View Author Affiliations

JOSA B, Vol. 29, Issue 6, pp. 1330-1337 (2012)

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In this paper, starting with the Maxwell equations and the corresponding nonlinear wave equation, we derive a pulse evolution equation for a metamaterial with cubic (Kerr) nonlinearity. The given model equation goes beyond the commonly employed slowly evolving wave approximation (SEWA). The dispersive properties of the dielectric susceptibility and magnetic permeability are accounted for in accordance with the Drude model. Using this model equation, propagation properties of a single-cycle pulse and a 4-cycle pulse are studied numerically in a left-handed metamaterial (LHMM) with third-order nonlinearity.

© 2012 Optical Society of America

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.3270) Nonlinear optics : Kerr effect
(190.4400) Nonlinear optics : Nonlinear optics, materials
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(160.3918) Materials : Metamaterials

ToC Category:
Nonlinear Optics

Original Manuscript: August 19, 2011
Revised Manuscript: November 21, 2011
Manuscript Accepted: November 22, 2011
Published: May 21, 2012

Ajit Kumar and Akhilesh Kumar Mishra, "Anomalous self-steepening, temporal pulse splitting and ring formation in a left-handed metamaterial with cubic nonlinearity," J. Opt. Soc. Am. B 29, 1330-1337 (2012)

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