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

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Rose, A; Larouche, S; Huang, D; Poutrina, E; Smith, DR

Published Date

  • September 28, 2010

Published In

Volume / Issue

  • 82 / 3 Pt 2

Start / End Page

  • 036608 -

PubMed ID

  • 21230204

Electronic International Standard Serial Number (EISSN)

  • 1550-2376

International Standard Serial Number (ISSN)

  • 1539-3755

Digital Object Identifier (DOI)

  • 10.1103/physreve.82.036608


  • eng