Nonlinear parameter retrieval from three- and four-wave mixing in metamaterials
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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.
Published Version (Please cite this version)10.1103/PhysRevE.82.036608
Publication InfoRose, 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.
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Adjunct Assistant Professor in the Department of Electrical and Computer Engineering
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 Dieg
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