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Nonlinear parameter retrieval from three- and four-wave mixing in metamaterials
Alec Rose1, Stéphane Larouche, Da Huang
1Department of Electrical and Computer Engineering, Center for Metamaterials and Integrated Plasmonics, Pratt School of Engineering, Duke University, P.O. Box 90291, Durham, North Carolina 27708, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2011
Summary
We developed a new method to retrieve nonlinear susceptibility in metamaterials using transfer matrices. This technique accurately measures nonlinear optical properties, crucial for advanced photonic devices.
Area of Science:
- Optics and Photonics
- Materials Science
- Metamaterials
Background:
- Nonlinear optical properties of metamaterials are essential for advanced photonic applications.
- Accurate characterization of nonlinear susceptibility is challenging, especially in complex structures.
- Existing methods may lack generality or require specific experimental conditions.
Purpose of the Study:
- To present a generalized method for retrieving nonlinear susceptibility in metamaterials.
- To apply the method to three- and four-wave mixing processes.
- To validate the method's accuracy and applicability to experimental data.
Main Methods:
- Developed a transfer matrix formalism for nonlinear media under the nondepleted pump approximation.
- Applied the formalism to three- and four-wave mixing.
- Verified accuracy using finite element simulations and experimental data from a split ring resonator metamaterial.
Main Results:
- Established a general formalism for nonlinear transfer matrices.
- Derived equations for retrieving nonlinear susceptibility.
- Achieved quantitative agreement between the proposed method and experimental results, validating its effectiveness.
Conclusions:
- The presented transfer matrix-based method provides an accurate and general approach for nonlinear susceptibility retrieval in metamaterials.
- This method is applicable to various nonlinear optical processes like three- and four-wave mixing.
- The findings support the use of this technique for characterizing nonlinear optical responses of metamaterials.
