Europhys. Lett.
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
Europhys. Lett., 76 (2), pp. 222-228 (2006)
DOI: 10.1209/epl/i2006-10252-0

Localized light orbitals: Basis states for three-dimensional optical micro-circuits

H. Takeda, A. Chutinan and S. John

Department of Physics, University of Toronto - 60 St. George St. Toronto, Ontario, M5S 1A7, Canada

received 23 May 2006; accepted in final form 21 August 2006
published online 8 September 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.

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