Berlin 2012 – wissenschaftliches Programm
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HL: Fachverband Halbleiterphysik
HL 57: Photonic Crystals II
HL 57.2: Vortrag
Mittwoch, 28. März 2012, 12:15–12:30, EW 202
Analytically generated adaptive meshes for the Fourier Modal Method — •Jens Küchenmeister1, Thomas Zebrowski1, Sabine Essig1, and Kurt Busch2 — 1Institut für Theoretische Festkörperphysik and DFG-Center for Functional Nanostructures, Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe — 2Humboldt-Universität zu Berlin, Institut für Physik, AG Theoretische Optik, Newtonstr. 15, 12489 Berlin, and Max-Born-Institut, Max-Born-Str. 2A, 12489 Berlin, Germany
The Fourier Modal Method is a versatile solver for Maxwell's equations for periodic systems which calculates transmittance and reflectance spectra by an expansion of the fields into eigenmodes. Problems appear for small structure features or large jumps in the permittivity distribution. These problems can be tackled using a mesh adapted to the structure: Firstly, coordinate lines are bent to match the structure's surface. Secondly, the density of coordinate lines along the surface is increased. In this contribution, we present how to build different types of analytical meshes and investigate their influence on the convergence behavior of the method. Especially, we address the influence of differentiability in adaptive meshing.