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3-dimensional eigenmodal analysis of plasmonic nanostructures.

Hua Guo¹, Benedikt Oswald, Peter Arbenz

¹Chair of Computational Science, ETH Zurich, Switzerland. hguo@inf.ethz.ch

|March 16, 2012

Summary

A new 3D algorithm analyzes nano-optical structures by solving the electromagnetic eigenmode equation. This method accurately models resonant structures, including antennas and nanoparticles, for advanced optical applications.

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Area of Science:

Computational Electromagnetics
Nanophotonics
Numerical Analysis

Background:

Accurate theoretical analysis of resonating nano-optical structures is crucial for developing advanced optical devices.
Existing methods may face challenges in handling unbounded space and complex geometries.
Electromagnetic eigenmodal analysis is key to understanding resonant behaviors.

Purpose of the Study:

To introduce a novel 3-dimensional electromagnetic eigenmodal algorithm for analyzing resonating nano-optical structures.
To incorporate transparent boundary conditions for simulating structures in unbounded space.
To validate the algorithm's performance against known theoretical and numerical solutions.

Main Methods:

Developed a 3D electromagnetic eigenmodal algorithm based on a variant of the Jacobi-Davidson algorithm.

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Employed the finite element method to solve the electric field vector wave (curl-curl) equation.

Implemented transparent boundary conditions to handle open structures.

Main Results:

Successfully calculated and validated eigenmodes for dielectric resonator antennas against theoretical results.
Accurately computed modes for a nano-cuboid, showing good agreement with theoretical predictions.
Validated the method by comparing numerical analysis of spherical nanoparticles with the Mie solution.
Demonstrated capability in analyzing optical dipole antenna configurations for practical applications.

Conclusions:

The developed 3D eigenmodal algorithm provides an accurate and versatile tool for analyzing resonating nano-optical structures.
The inclusion of transparent boundary conditions enhances the analysis of structures in open environments.
The method shows significant potential for solving technologically relevant problems in nanophotonics.