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Updated: May 30, 2026
11:08
Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
Effective parameters for periodic photonic structures of resonant elements
1Section of Solid State Physics, University of Athens, Panepistimioupolis, GR-157 84 Athens, Greece.
Summary
This study details calculating effective electromagnetic parameters for metamaterials using metallic nanoshells. A new method resolves ambiguities in effective refractive index determination for thick slabs.
Area of Science:
- Condensed matter physics
- Electromagnetism
- Materials science
Background:
- Metamaterials offer unique electromagnetic properties due to their resonant building units.
- Accurate characterization of effective parameters is crucial for metamaterial applications.
- Photonic crystals of metallic nanoshells serve as a model system for studying these properties.
Purpose of the Study:
- To systematically calculate effective electromagnetic parameters of metamaterials.
- To analyze the validity of effective-medium descriptions and identify numerical artifacts.
- To propose a method for resolving ambiguities in effective refractive index determination.
Main Methods:
- Layer-multiple-scattering method for full-electrodynamic calculations.
- S-matrix retrieval procedure for single- and multi-layer slabs.
- Analysis in conjunction with complex band structure and Maxwell-Garnett approximation.
Main Results:
- Effective electromagnetic parameters were calculated for photonic crystals of metallic nanoshells.
- Conditions for the validity of effective-medium descriptions were discussed.
- A method to resolve ambiguities in effective refractive index for thick slabs was proposed.
Conclusions:
- The study provides insights into the accurate calculation of metamaterial electromagnetic parameters.
- Understanding the limitations and artifacts in numerical calculations is essential.
- The proposed method enhances the reliable determination of effective refractive index for complex systems.
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