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Published on: May 28, 2016
Surface integral formulations for the design of plasmonic nanostructures
Carlo Forestiere1, Giovanni Iadarola, Guglielmo Rubinacci
1Department of Electrical Engineering, Università degli Studi di Napoli Federico II, via Claudio 21, Napoli 80125, Italy.
Summary
Surface integral equations (SIEs) accurately solve electromagnetic scattering by plasmonic nanostructures. This study compares four SIE formulations for metallic nanoparticles, revealing their impact on near-zone accuracy for optical device engineering.
Area of Science:
- Computational electromagnetics
- Plasmonics and nanophotonics
Background:
- Surface integral equations (SIEs) are crucial for accurate electromagnetic scattering analysis of plasmonic nanostructures.
- Near-zone accuracy is vital for designing nanostructures that manipulate electromagnetic hot spots.
Purpose of the Study:
- To provide a unified description of SIE formulations with singular and nonsingular kernels.
- To evaluate the accuracy of different SIE formulations for spherical and nonspherical metallic nanoparticles.
Main Methods:
- Consideration of four SIE formulations: N-combined region, T-combined region, combined field, and null field integral equations.
- Numerical solution of electromagnetic scattering problems for various nanoparticle shapes.
- Comparison of convergence rates and accuracy in near and far zones based on degrees of freedom.
Main Results:
- Detailed comparison of numerical solutions from different SIE formulations.
- Assessment of accuracy dependence on nanoparticle shape and formulation type.
- Identification of formulation limitations impacting numerical solution fidelity.
Conclusions:
- Rigorous analysis of SIE formulations enhances understanding of their accuracy and limitations.
- Findings impact the engineering of nano-scale optical devices like biosensors and nanoantennas.
- Accurate numerical solutions are essential for manipulating plasmonic hot spots in advanced nanophotonics.
