Applied Physics A

, Volume 100, Issue 2, pp 365–374

The validation of the parallel three-dimensional solver for analysis of optical plasmonic bi-periodic multilayer nanostructures

  • Xingjie Ni
  • Zhengtong Liu
  • Alexandra Boltasseva
  • Alexander V. Kildishev
Article

DOI: 10.1007/s00339-010-5865-z

Cite this article as:
Ni, X., Liu, Z., Boltasseva, A. et al. Appl. Phys. A (2010) 100: 365. doi:10.1007/s00339-010-5865-z

Abstract

Fundamentals of the three-dimensional spatial harmonic analysis (SHA) approach are reviewed, and the advantages of a fast-converging formulation versus the initial SHA formulation are emphasized with examples using periodic plasmonic nanostructures. First, two independent parallel versions of both formulations are implemented using the scattering matrix algorithm for multilayer cascading. Then, by comparing the results from both formulations, it is shown that choosing an advanced fast-converging scheme could be essential for accurate and efficient modeling of plasmonic structures. Important obstacles to the fast parallel implementation of this approach are also revealed. The results of test simulations are validated using the data obtained from a commercial finite-element method (FEM) simulations and from the experimental characterization of fabricated samples.

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • Xingjie Ni
    • 1
  • Zhengtong Liu
    • 1
  • Alexandra Boltasseva
    • 1
    • 2
    • 3
  • Alexander V. Kildishev
    • 1
  1. 1.Birck Nanotechnology Center, School of Electrical and Computer EngineeringPurdue UniversityWest LafayetteUSA
  2. 2.DTU FotonikTechnical University of DenmarkKongens LyngbyDenmark
  3. 3.Erlangen Graduate School in Advanced Optical Technologies—SAOTFriedrich-Alexander-Universität Erlangen- NürnbergErlangenGermany