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. © 2010 The American Physical
Society.
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https://hdl.handle.net/10161/4289Published Version (Please cite this version)
10.1103/PhysRevE.82.036608Publication Info
Rose, Alec; Larouche, Stéphane; Huang, Da; Poutrina, Ekaterina; & Smith, David R (2010). Nonlinear parameter retrieval from three- and four-wave mixing in metamaterials. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 82(3). pp. 36608. 10.1103/PhysRevE.82.036608. Retrieved from https://hdl.handle.net/10161/4289.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Show full item recordScholars@Duke
Stephane Larouche
Adjunct Assistant Professor in the Department of Electrical and Computer Engineering
David R. Smith
James B. Duke Distinguished Professor of Electrical and Computer Engineering
Dr. David R. Smith is currently the James B. Duke Professor of Electrical and Computer
Engineering Department at Duke University. He is also Director of the Center for Metamaterials
and Integrated Plasmonics at Duke and holds the positions of Adjunct Associate Professor
in the Physics Department at the University of California, San Diego, and Visiting
Professor of Physics at Imperial College, London. Dr. Smith received his Ph.D. in
1994 in Physics from the University of California, San D
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