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

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.

DOI
10.1103/physreve.82.036608
Year
Chicago Citation
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.