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Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

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Collective effects in second-harmonic generation from split-ring-resonator arrays.

S Linden¹, F B P Niesler, J Förstner

¹Institute of Nanotechnology, Institute of Applied Physics, and DFG-Center for Functional Nanostructures, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany.

Physical Review Letters

|October 4, 2012

Summary

This summary is machine-generated.

Optical experiments reveal that second-harmonic generation efficiency in split-ring-resonator arrays changes nonmonotonically with lattice constant. This behavior arises from a balance between element dilution and inter-resonator interactions affecting linewidth and near-fields.

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Fabrication of Nanopillar-Based Split Ring Resonators for Displacement Current Mediated Resonances in Terahertz Metamaterials

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Area of Science:

* Plasmonics and Nanophotonics
* Nonlinear Optics
* Metamaterials

Background:

* Split-ring resonators (SRRs) are fundamental metamaterial elements exhibiting strong plasmonic resonances.
* Second-harmonic generation (SHG) is a key nonlinear optical process for frequency conversion.
* Array geometry significantly influences the optical properties of nanostructured materials.

Purpose of the Study:

* To investigate the dependence of SHG efficiency on the lattice constant in square arrays of SRRs.
* To elucidate the underlying physical mechanisms governing this relationship.
* To understand the interplay between individual resonator properties and collective array effects.

Main Methods:

* Fabrication of periodic square arrays of split-ring resonators.
* Optical characterization of second-harmonic generation efficiency as a function of lattice constant.
* Theoretical modeling to interpret experimental observations, considering dilution and inter-resonator coupling.

Main Results:

* Observed a nonmonotonic dependence of SHG conversion efficiency on the array lattice constant.
* Demonstrated that efficiency increases with decreasing lattice constant initially, then decreases.
* Identified competing effects of element dilution and changes in linewidth/near-field coupling.

Conclusions:

* The nonmonotonic behavior is attributed to a complex interplay between geometric dilution and resonant coupling among SRRs.
* Near-field interactions and linewidth variations significantly impact the nonlinear response of the array.
* Precise control over lattice constant is crucial for optimizing SHG in metamaterial arrays.