Band Gap Analysis and Light Propagation Properties of Three Dimensional Photonic Crystals
Date Issued
2006
Date
2006
Author(s)
Yu, Sheng-Hung
DOI
zh-TW
Abstract
The purposes of this thesis are two fold. First, the band structure of three-dimensional photonic crystal slab is investigated. By using plane wave expansion method, we calculate the band structure of the three-dimensional photonic crystal slab in a triangular array with the dielectric or air rods. Changing the thickness of the slab, the background material and the radius of the dielectric or air rods control the bandwidth at the central frequency of the photonic band gap.
Second, removing one row of rods can create a photonic crystal waveguide. The light wave at frequencies in the band gap can be confined inside the waveguide. We calculate the band structure of the photonic crystal waveguide by using the plane wave expansion method. We can find that removing the row of the rods can create the photonic crystal waveguide with guided modes inside the gap. Then, we use the finite difference time domain method to calculate the spectrum and field distribution of the waveguide. In our simulation, the results show that the energy loss in 3D waveguide is more than that in 2D waveguide.
Subjects
光子晶體
photonic crystal
Type
thesis
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