DocumentCode :
2878681
Title :
Density of states and spontaneous emission rates in photonic crystals
Author :
Roberts, P.J.
Author_Institution :
Defence Res. Agency, Great Malvern, UK
fYear :
1996
fDate :
35404
Firstpage :
42461
Lastpage :
42469
Abstract :
A numerical method for the calculation of the local density of states of the classical electromagnetic modes existing within a finite periodic dielectric material is proposed. This information allows for a computation of the modified spontaneous emission rate inside the structure, for weak coupling of a dipole transition to the electromagnetic modes. The approach is based on a calculation of the electric field Green function, and includes the contribution arising from surface guided modes as well as from scattering modes of the system. The required computational effort is enormously reduced if the necessary integration over a 2 dimensional Brillouin zone is deformed into the complex plane. An implementation of the approach utilising a transfer matrix approach for the calculation of the Green function is reported, and used in the calculation of the local density of states within a finite two dimensional periodic structure. The method can also be used to find the spatial distribution of emitted light in both the near and far fields
Keywords :
photonic band gap; 2 dimensional Brillouin zone; classical electromagnetic modes; complex plane; computational effort; density of states; dipole transition; electric field Green function; electromagnetic modes; emitted light; finite periodic dielectric material; finite two dimensional periodic structure; local density of states; modified spontaneous emission rate; numerical method; photonic crystals; scattering modes; spatial distribution; spontaneous emission rates; surface guided modes; transfer matrix approach; weak coupling;
fLanguage :
English
Publisher :
iet
Conference_Titel :
Semiconductor Optical Microcavity Devices and Photonic Bandgaps (Digest No. 1996/267), IEE Colloquium on
Conference_Location :
London
Type :
conf
DOI :
10.1049/ic:19961411
Filename :
599289
Link To Document :
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