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Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
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Predicting nonlinear properties of metamaterials from the linear response
Kevin O'Brien1, Haim Suchowski2, Junsuk Rho2
1NSF Nanoscale Science and Engineering Center (NSEC), University of California, Berkeley 3112 Etcheverry Hall, UC Berkeley, California 94720, USA.
Nature Materials
|February 10, 2015
Summary
Miller's Rule predicts nonlinear optical properties from linear ones. A new theory shows this rule doesn't apply to metamaterials, enabling their efficient design for applications like sensing and photon generation.
Area of Science:
- Nonlinear optics
- Materials science
- Metamaterials
Background:
- Modern nonlinear optics began with optical second harmonic generation.
- Miller's Rule empirically relates nonlinear susceptibility to linear properties.
- Metamaterials exhibit unique linear and nonlinear optical properties.
Purpose of the Study:
- To investigate the applicability of Miller's Rule to nonlinear metamaterials.
- To develop a predictive framework for nonlinear metamaterial behavior.
- To enable the design of metamaterials with enhanced nonlinear properties.
Main Methods:
- Challenging the nonlinear oscillator model for metamaterials.
- Applying a comprehensive nonlinear scattering theory.
- Predicting relative nonlinear susceptibility in metamaterials.
Main Results:
- The nonlinear oscillator model is not generally applicable to nonlinear metamaterials.
- A new theory successfully predicts the relative nonlinear susceptibility of metamaterials.
- This predictive capability facilitates the design of metamaterials with strong nonlinearities.
Conclusions:
- Miller's Rule is insufficient for predicting nonlinear behavior in metamaterials.
- Nonlinear scattering theory offers a more accurate approach.
- This advancement allows for the efficient design of metamaterials for advanced optical applications.
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