title: A construction guide to analytically generated meshes for the Fourier Modal Method.
abstract: The concepts of adaptive coordinates and adaptive spatial resolution significantly enhance the performance of Fourier Modal Method for the simulation of periodic photonic structures, especially metallo-dielectric systems. We present several approaches for constructing different types of analytical coordinate transformations that are applicable to a great variety of structures. In addition, we analyze these meshes with an emphasis on the resulting convergence characteristics. This allows us to formulate general guidelines for the choice of mesh type and mesh parameters.
authors.affiliation: Institut für Theoretische Festkörperphysik and DFG-Center for Functional Nanostructures (CFN), Karlsruhe Institute of Technology (KIT), Wolfgang-Gaede-Str. 1, 76131 Karlsruhe, Germany.
authors.forename: Jens
authors.initials: J
authors.lastname: Küchenmeister
authors.forename: Thomas
authors.initials: T
authors.lastname: Zebrowski
authors.forename: Kurt
authors.initials: K
authors.lastname: Busch