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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 2 — Jan. 27, 2014
  • pp: 1342–1349

Three-dimensional adaptive coordinate transformations for the Fourier modal method

Jens Küchenmeister  »View Author Affiliations

Optics Express, Vol. 22, Issue 2, pp. 1342-1349 (2014)

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The concepts of adaptive coordinates and adaptive spatial resolution have proved to be a valuable tool to improve the convergence characteristics of the Fourier Modal Method (FMM), especially for metallo-dielectric systems. Yet, only two-dimensional adaptive coordinates were used so far. This paper presents the first systematic construction of three-dimensional adaptive coordinate and adaptive spatial resolution transformations in the context of the FMM. For that, the construction of a three-dimensional mesh for a periodic system consisting of two layers of mutually rotated, metallic crosses is discussed. The main impact of this method is that it can be used with any classic FMM code that is able to solve the large FMM eigenproblem. Since the transformation starts and ends in a Cartesian mesh, only the transformed material tensors need to be computed and entered into an existing FMM code.

© 2014 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(160.3918) Materials : Metamaterials
(160.5298) Materials : Photonic crystals

ToC Category:
Diffraction and Gratings

Original Manuscript: October 11, 2013
Revised Manuscript: December 9, 2013
Manuscript Accepted: December 13, 2013
Published: January 14, 2014

Jens Küchenmeister, "Three-dimensional adaptive coordinate transformations for the Fourier modal method," Opt. Express 22, 1342-1349 (2014)

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