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Nonlinear oscillator metamaterial model: numerical and experimental verification.

Publication ,  Journal Article
Poutrina, E; Huang, D; Urzhumov, Y; Smith, DR
Published in: Optics express
April 2011

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.

Duke Scholars

Published In

Optics express

DOI

EISSN

1094-4087

ISSN

1094-4087

Publication Date

April 2011

Volume

19

Issue

9

Start / End Page

8312 / 8319

Related Subject Headings

  • Refractometry
  • Oscillometry
  • Optics
  • Nonlinear Dynamics
  • Models, Theoretical
  • Manufactured Materials
  • Computer Simulation
  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
 

Citation

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Poutrina, E., Huang, D., Urzhumov, Y., & Smith, D. R. (2011). Nonlinear oscillator metamaterial model: numerical and experimental verification. Optics Express, 19(9), 8312–8319. https://doi.org/10.1364/oe.19.008312
Poutrina, E., D. Huang, Y. Urzhumov, and D. R. Smith. “Nonlinear oscillator metamaterial model: numerical and experimental verification.Optics Express 19, no. 9 (April 2011): 8312–19. https://doi.org/10.1364/oe.19.008312.
Poutrina E, Huang D, Urzhumov Y, Smith DR. Nonlinear oscillator metamaterial model: numerical and experimental verification. Optics express. 2011 Apr;19(9):8312–9.
Poutrina, E., et al. “Nonlinear oscillator metamaterial model: numerical and experimental verification.Optics Express, vol. 19, no. 9, Apr. 2011, pp. 8312–19. Epmc, doi:10.1364/oe.19.008312.
Poutrina E, Huang D, Urzhumov Y, Smith DR. Nonlinear oscillator metamaterial model: numerical and experimental verification. Optics express. 2011 Apr;19(9):8312–8319.
Journal cover image

Published In

Optics express

DOI

EISSN

1094-4087

ISSN

1094-4087

Publication Date

April 2011

Volume

19

Issue

9

Start / End Page

8312 / 8319

Related Subject Headings

  • Refractometry
  • Oscillometry
  • Optics
  • Nonlinear Dynamics
  • Models, Theoretical
  • Manufactured Materials
  • Computer Simulation
  • 5102 Atomic, molecular and optical physics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering