Computation and Analysis for Transmission and Emission Spectra of Three-dimensional Layer-by-layer Photonic Crystals
Date Issued
2007
Date
2007
Author(s)
Chen, Ji-Feng
DOI
zh-TW
Abstract
This thesis studies about the transmission and emission properties of various planar defects in the three-dimensional (3D) layer-by-layer photonic crystal. Two numerical methods have been employed with parallel programming for electromagnetic simulation. One is the 3D plane-wave expansion (PWE) method with supercell technique, which is used for finding eigen-modes of defects. The other is the 3D finite-difference time-domain (FDTD) method, which can simulate the time response and transmission or emission spectrum. Two different kinds of resonant modes, the defect mode and the band-edge resonant mode, have been clarified by spectrum analysis and calculated mode profiles. While the former appears only inside the cavity located at the defect layer, the latter appears not only in the defect layer but also with the standing wave concentrated in the dielectric or the air part of a photonic crystal.
The finite three-dimensional layer-by-layer photonic crystal is shown to drastically modify the spontaneous emission rate of an embedded dipole. Simulation shows that the emission spectra are quite different when the position or polarization of the dipole is changed. However, there is always strong suppression of spontaneous emission in the frequency range of complete photonic bandgap (PBG). On the other hand, the emission rate can be enhanced by the large photonic density of state (DOS) at the band edges. Although we can observe high modification factor of spontaneous emission with dielectric or air band-edge modes, the light extraction is lower than that of the free-space radiation. Instead, by appropriately employing a planar defect structure we obtain not only strong enhancement of emission at a frequency range but also large extraction efficiency due to the vertical resonance effect in the defect layer.
Subjects
三維層疊式光子晶體
全方位光子能隙
面缺陷
時域有限差分法
平行計算
穿透頻譜
缺陷共振模
帶緣共振模
自發性放射
耦極輻射
放射頻譜
光取出效率
3D layer-by-layer photonic crystal
complete PBG
planar defect
FDTD
parallel computation
transmission spectrum
defect mode
band-edge resonant mode
spontaneous emission
dipole radiation
emission spectrum
extraction efficiency
Type
thesis
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