Title :
A fast and efficient finite-element solver for 2D and 3D photonic band-gap problems
Author :
Burger, S. ; Schmidt, F. ; Zschiedrich, L.
Author_Institution :
Konrad-Zuse-Zentrum Berlin Takustr., Germany
Abstract :
Bloch-modes in 2D and 3D photonic crystals are calculated with fast and efficient finite-element codes. We present a detailed convergence-analysis of obtained solutions using multigrid algorithms and finite elements of higher orders.
Keywords :
convergence of numerical methods; finite element analysis; photonic band gap; photonic crystals; 2D photonic band-gap problems; 2D photonic crystals; 3D photonic band-gap; 3D photonic crystals; Bloch-modes; convergence-analysis; fast finite-element codes; finite-element solver; multigrid algorithms; Crystalline materials; Finite element methods; Lagrangian functions; Lattices; Optical materials; Optical propagation; Photonic band gap; Photonic crystals; Photonic integrated circuits; Pulse width modulation;
Conference_Titel :
Holey Fibers and Photonic Crystals/Polarization Mode Dispersion/Photonics Time/Frequency Measurement and Control, 2003 Digest of the LEOS Summer Topical Meetings
Conference_Location :
Vancouver, BC, Canada
Print_ISBN :
0-7803-7982-9
DOI :
10.1109/LEOSST.2003.1224282