Calculation of complex shapes in the fourier modal method through the concept of coordinate transformations

T. Weiss, G. Granet, N. A. Gippius, S. G. Tikhodeev, H. Giessen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

In a recent publication [1] we showed that complex shapes can be calculated efficiently in the Fourier modal method (FMM) through the concept of coordinate transformations. The new coordinate system has to be aligned in such a way that the lines of constant coordinates match the interfaces. Thus, the approach of adaptive spatial resolution (ASR) can be included easily to increase the convergence in the case of metallic materials and to simplify the derivation of appropriate coordinate systems. We are going to present the fundamental ideas of the method and show our latest examples of coordinate transformations to match such common structures as cylinders, triangles, and rotated squares.

Original languageEnglish
Title of host publicationTheoretical and Computational Nanophotonics (TaCoNa-Photonics 2009) - Proceedings of the 2nd International Workshop
Pages163-165
Number of pages3
DOIs
Publication statusPublished - 2009
Externally publishedYes
Event2nd International Workshop on Theoretical and Computational Nanophotonics, TaCoNa-Photonics 2009 - Bad Honnef, Germany
Duration: 28 Oct 200930 Oct 2009

Publication series

NameAIP Conference Proceedings
Volume1176
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2nd International Workshop on Theoretical and Computational Nanophotonics, TaCoNa-Photonics 2009
Country/TerritoryGermany
CityBad Honnef
Period28/10/0930/10/09

Keywords

  • Computational electromagnetic methods
  • Diffractive optics
  • Metamaterials
  • Photonic crystals

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