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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 9 — Apr. 25, 2011
  • pp: 8312–8319

Nonlinear oscillator metamaterial model: numerical and experimental verification

E. Poutrina, D. Huang, Y. Urzhumov, and D. R. Smith  »View Author Affiliations

Optics Express, Vol. 19, Issue 9, pp. 8312-8319 (2011)

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We verify numerically and experimentally the accuracy of an analytical model used to derive the effective nonlinear susceptibilities of a varactor-loaded split ring resonator (VLSRR) magnetic medium. For the numerical validation, a nonlinear oscillator model for the effective magnetization of the metamaterial is applied in conjunction with Maxwell equations and the two sets of equations solved numerically in the time-domain. The computed second harmonic generation (SHG) from a slab of a nonlinear material is then compared with the analytical model. The computed SHG is in excellent agreement with that predicted by the analytical model, both in terms of magnitude and spectral characteristics. Moreover, experimental measurements of the power transmitted through a fabricated VLSRR metamaterial at several power levels are also in agreement with the model, illustrating that the effective medium techniques associated with metamaterials can accurately be transitioned to nonlinear systems.

© 2011 OSA

OCIS Codes
(190.4400) Nonlinear optics : Nonlinear optics, materials
(160.3918) Materials : Metamaterials

ToC Category:

Original Manuscript: January 4, 2011
Revised Manuscript: March 25, 2011
Manuscript Accepted: March 29, 2011
Published: April 15, 2011

E. Poutrina, D. Huang, Y. Urzhumov, and D. R. Smith, "Nonlinear oscillator metamaterial model: numerical and experimental verification," Opt. Express 19, 8312-8319 (2011)

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