Title :
Introducing Oblique Coordinates in Numerical Methods, Applied to the Computation of Band Structures
Author :
Helfert, Stefan F.
Author_Institution :
FernUniversitat in Hagen, Hagen
Abstract :
In this contribution, we show how oblique coordinates can also be used in other numerical methods, namely the Galerkin-method (GM) and the finite difference (FD) method. We give the main formulas (for 2D-structures) and numerical results from band-structure calculations.
Keywords :
Galerkin method; finite difference methods; photonic crystals; 2D-structures; Galerkin-method; band-structure calculations; finite difference method; hexagonal lattice; oblique coordinates; photonic crystals; Finite difference methods; Lattices; Magnetic fields; Maxwell equations; Moment methods; Partial differential equations; Permeability; Photonic crystals; Polarization; Tellurium;
Conference_Titel :
Transparent Optical Networks, 2007. ICTON '07. 9th International Conference on
Conference_Location :
Rome
Print_ISBN :
1-4244-1249-8
Electronic_ISBN :
1-4244-1249-8
DOI :
10.1109/ICTON.2007.4296148
