Open Access3-dimensional eigenmodal analysis of plasmonic nanostructures
Author(s) -
Hua Guo,
Benedikt Oswald,
Peter Arbenz
Publication year - 2012
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.20.005481
Subject(s) - physics , mie scattering , optics , boundary value problem , nanophotonics , curl (programming language) , plasmon , electromagnetic field , finite difference time domain method , electric field , resonator , finite element method , maxwell's equations , dipole , computer science , classical mechanics , light scattering , quantum mechanics , scattering , thermodynamics , programming language
We introduce a 3-dimensional electromagnetic eigenmodal algorithm for the theoretical analysis of resonating nano-optical structures. The method, a variant of the Jacobi-Davidson algorithm, solves the electric field vector wave, or curl-curl, equation for the electromagnetic eigenmodes of resonant optical structures with a finite element method. In particular, the method includes transparent boundary conditions that enable the analysis of resonating structures in unbounded space. We demonstrate the performance of the method. First, we calculate the modes of several dielectric resonator antennas and compare them to theoretically determined results. Second, we calculate the modes of a nano-cuboid and compare them to theoretically determined results. Third, we numerically analyze spherical nanoparticles and compare the result to the theoretical Mie solution. Fourth, we analyze optical dipole antenna configurations in order to assess the method's capability for solving technologically relevant problems.