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Nonlinear parameter retrieval from three- and four-wave mixing in metamaterials.

Publication ,  Journal Article
Rose, A; Larouche, S; Huang, D; Poutrina, E; Smith, DR
Published in: Physical review. E, Statistical, nonlinear, and soft matter physics
September 2010

We present a generalized nonlinear susceptibility retrieval method for metamaterials based on transfer matrices and valid in the nondepleted pump approximation. We construct a general formalism to describe the transfer matrix method for nonlinear media and apply it to the processes of three- and four-wave mixing. The accuracy of this approach is verified via finite element simulations. The method is then reversed to give a set of equations for retrieving the nonlinear susceptibility. Finally, we apply the proposed retrieval operation to a three-wave mixing transmission experiment performed on a varactor loaded split ring resonator metamaterial sample and find quantitative agreement with an analytical effective medium theory model.

Duke Scholars

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

September 2010

Volume

82

Issue

3 Pt 2

Start / End Page

036608

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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ICMJE
MLA
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Rose, A., Larouche, S., Huang, D., Poutrina, E., & Smith, D. R. (2010). Nonlinear parameter retrieval from three- and four-wave mixing in metamaterials. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 82(3 Pt 2), 036608. https://doi.org/10.1103/physreve.82.036608
Rose, Alec, Stéphane Larouche, Da Huang, Ekaterina Poutrina, and David R. Smith. “Nonlinear parameter retrieval from three- and four-wave mixing in metamaterials.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 82, no. 3 Pt 2 (September 2010): 036608. https://doi.org/10.1103/physreve.82.036608.
Rose A, Larouche S, Huang D, Poutrina E, Smith DR. Nonlinear parameter retrieval from three- and four-wave mixing in metamaterials. Physical review E, Statistical, nonlinear, and soft matter physics. 2010 Sep;82(3 Pt 2):036608.
Rose, Alec, et al. “Nonlinear parameter retrieval from three- and four-wave mixing in metamaterials.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 82, no. 3 Pt 2, Sept. 2010, p. 036608. Epmc, doi:10.1103/physreve.82.036608.
Rose A, Larouche S, Huang D, Poutrina E, Smith DR. Nonlinear parameter retrieval from three- and four-wave mixing in metamaterials. Physical review E, Statistical, nonlinear, and soft matter physics. 2010 Sep;82(3 Pt 2):036608.

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

September 2010

Volume

82

Issue

3 Pt 2

Start / End Page

036608

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences