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

TitleNonlinear parameter retrieval from three- and four-wave mixing in metamaterials
Publication TypeJournal Article
Year of Publication2010
AuthorsA. Rose, S. Larouche, D. Huang, E. Poutrina, D.R. Smith
JournalPhysical Review E
Volume82
Issue3
Date Published9/2010
Abstract

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.

Short TitlePhys. Rev. E