Abstract
We present detailed theoretical and numerical studies of surface states of a coupled defect chain of finite length in a photonic crystal. By comparatively studying three such structures with zero, one, and two defects on the photonic crystal surface, respectively, we found that the transmission characteristics of the structure depend on the termination of the defect chain in the host crystal. The peak frequencies and the number of peaks are related to the boundary conditions of the coupled defects. Our numerical simulations in conjunction with analytical treatment using the coupled mode theory fully establish the analogy between the surface states in photonic crystals and the Tamm states in solids. We also point out how the results of the localized surface states in this one-dimensional model system can be generalized to two- or three-dimensional systems where surface states become surface waves.
| Original language | English (US) |
|---|---|
| Article number | 056004 |
| Journal | Journal of Physics Condensed Matter |
| Volume | 19 |
| Issue number | 5 |
| DOIs | |
| State | Published - Feb 7 2007 |
Fingerprint
ASJC Scopus subject areas
- Condensed Matter Physics
- Electronic, Optical and Magnetic Materials
Cite this
Tamm surface states in a finite chain of defects in a photonic crystal. / Malkova, N.; Ning, Cun-Zheng.
In: Journal of Physics Condensed Matter, Vol. 19, No. 5, 056004, 07.02.2007.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Tamm surface states in a finite chain of defects in a photonic crystal
AU - Malkova, N.
AU - Ning, Cun-Zheng
PY - 2007/2/7
Y1 - 2007/2/7
N2 - We present detailed theoretical and numerical studies of surface states of a coupled defect chain of finite length in a photonic crystal. By comparatively studying three such structures with zero, one, and two defects on the photonic crystal surface, respectively, we found that the transmission characteristics of the structure depend on the termination of the defect chain in the host crystal. The peak frequencies and the number of peaks are related to the boundary conditions of the coupled defects. Our numerical simulations in conjunction with analytical treatment using the coupled mode theory fully establish the analogy between the surface states in photonic crystals and the Tamm states in solids. We also point out how the results of the localized surface states in this one-dimensional model system can be generalized to two- or three-dimensional systems where surface states become surface waves.
AB - We present detailed theoretical and numerical studies of surface states of a coupled defect chain of finite length in a photonic crystal. By comparatively studying three such structures with zero, one, and two defects on the photonic crystal surface, respectively, we found that the transmission characteristics of the structure depend on the termination of the defect chain in the host crystal. The peak frequencies and the number of peaks are related to the boundary conditions of the coupled defects. Our numerical simulations in conjunction with analytical treatment using the coupled mode theory fully establish the analogy between the surface states in photonic crystals and the Tamm states in solids. We also point out how the results of the localized surface states in this one-dimensional model system can be generalized to two- or three-dimensional systems where surface states become surface waves.
UR - http://www.scopus.com/inward/record.url?scp=33947587847&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33947587847&partnerID=8YFLogxK
U2 - 10.1088/0953-8984/19/5/056004
DO - 10.1088/0953-8984/19/5/056004
M3 - Article
AN - SCOPUS:33947587847
VL - 19
JO - Journal of Physics Condensed Matter
JF - Journal of Physics Condensed Matter
SN - 0953-8984
IS - 5
M1 - 056004
ER -