Photonic Band Structure Computation Using FLAME

The flexible local approximation method (FLAME) is applied for the first time to the computation of the band diagrams of periodic dielectric structures (photonic crystals). Numerical experiments show that FLAME attains high accuracy on fairly coarse grids, with 6-8 orders of magnitude lower errors i...

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Veröffentlicht in:	IEEE transactions on magnetics 2008-06, Vol.44 (6), p.1382-1385
Hauptverfasser:	Tsukerman, I., Cajko, F.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Approximation methods Band structure of solids Computation Cross-disciplinary physics: materials science rheology Dielectrics Difference schemes Dispersions Exact sciences and technology Finite element methods Fires flexible approximation Lattices Magnetism Materials science Mathematical analysis Mathematical models Optical computing Optical propagation Other topics in materials science Periodic structures Photonic band gap Photonic crystals Physics Plane waves wave propagation
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Beschreibung
Zusammenfassung:	The flexible local approximation method (FLAME) is applied for the first time to the computation of the band diagrams of periodic dielectric structures (photonic crystals). Numerical experiments show that FLAME attains high accuracy on fairly coarse grids, with 6-8 orders of magnitude lower errors in the dispersion curves than alternative methods such as finite-element analysis or plane wave expansion with the same number of degrees of freedom.
ISSN:	0018-9464 1941-0069
DOI:	10.1109/TMAG.2007.916166