Berlin 2008 – wissenschaftliches Programm
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HL: Fachverband Halbleiterphysik
HL 36: Poster III
HL 36.27: Poster
Mittwoch, 27. Februar 2008, 16:30–19:00, Poster D
Nonlinear Coordinate Transformation as an Extension of the Fourier Modal Method to Finite-Sized Structures — •Thomas Zebrowski1, Sabine Essig1,2,3, and Kurt Busch1,2,3 — 1Institut für Theoretische Festkörperphysik, Universität Karlsruhe — 2DFG Forschungszentrum Center for Functional Nanostructures (CFN), Universität Karlsruhe — 3Karlsruhe School of Optics & Photonics (KSOP), Universität Karlsruhe
The Fourier Modal Method (FMM) can be extended to solve electromagnetic wave propagation problems associated with finite-sized structures. Since the basic algorithm is handling systems which are infinitely periodic in the lateral plane, non-periodic structure simulations via FMM have to introduce an artificial periodicity. In this case, however, interactions between the unit cells are unavoidable unless special measures are taken. Such an isolation of the unit cells may be facilitated through nonlinear conformal mappings. This means that we map the infinitely extended space surrounding the finite-sized structure onto a finite edge layer surrounding the unit cell. The resulting coordinate transformation is easily introduced into the algorithm. On our poster we show that this extended FMM algorithm can treat three-dimensional wave propagation problems that are difficult to solve with other frequency-domain methods such as the finite element approach.