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Effects of band non-parabolicity on cavity modes in photonic crystals.
- Source :
-
Journal of Applied Physics . Feb2013, Vol. 113 Issue 6, p063105. 6p. - Publication Year :
- 2013
-
Abstract
- We include the effect of band non-parabolicity on photonic defect states within the Wannier theory, which improves the quadratic approximation adopted by Painter et al. [Phys. Rev. B 68, 035214 (2003)] for large-size defects, as well as extends the theory to a wider range of defect size. A 2D hexagonal photonic crystal is considered, and analyzed for the origin and degree of non-parabolicity in the 1st TE band around J-point, and for the effect of non-parabolicity on acceptor type cavity modes. The non-parabolicity is shown to derive primarily from the inherent anisotropy of band dispersion around the point. Overall, with the inclusion of non-parabolicity, (i) mode degeneracy is lowered, (ii) the 'binding energy' of a cavity mode is increased, and (iii) the cut-off of defect size for a given cavity mode is reduced, by as much as 35% in certain cases, in comparison with that calculated without the non-parabolicity. A simple 'overall effective mass' picture is provided for the understanding of non-parabolicity effects. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PHOTONIC crystals
*WANNIER-stark effect
*ANISOTROPY
*CRYSTALLOGRAPHY
*DIELECTRICS
Subjects
Details
- Language :
- English
- ISSN :
- 00218979
- Volume :
- 113
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Applied Physics
- Publication Type :
- Academic Journal
- Accession number :
- 85481462
- Full Text :
- https://doi.org/10.1063/1.4789945