Volume 76, Number 2, October 2006
|Page(s)||222 - 228|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||08 September 2006|
Localized light orbitals: Basis states for three-dimensional optical micro-circuits
Department of Physics, University of Toronto - 60 St. George St. Toronto, Ontario, M5S 1A7, Canada
Accepted: 21 August 2006
We demonstrate the method of three-dimensional (3D) optical Wannier functions (WFs) for quantitative description of electromagnetic wave localization and propagation in 3D photonic band gap (PBG) micro-circuits. Using these localized “light orbitals” we accurately reconstruct electromagnetic flow in bulk 3D PBG materials, 2D-3D PBG heterostructures and 2D membrane photonic crystals. The localized orbitals provide a more efficient basis than those used in plane-wave expansions and finite-difference time-domain methods. In 3D photonic crystal circuits, using twenty or fewer WFs, we accurately recapture electromagnetic phenomena over a significant spectral bandwidth surrounding the PBG.
PACS: 42.70.Qs – Photonic bandgap materials / 42.25.Bs – Wave propagation, transmission and absorption / 71.15.-m – Methods of electronic structure calculations
© EDP Sciences, 2006
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