Finite-Difference Time-Domain Modeling of Photonic Crystals and Dispersive Phenomena
Date Issued
2004
Date
2004
Author(s)
Lin, Jyun-Hong
DOI
zh-TW
Abstract
In this research, the lossless and nondispersive finite-difference time-domain (FDTD) method with staircase approximation and the split-field perfectly matched layer boundaries is employed to model several types of photonic devices in two dimensions. L-bends, T-branches, and waveguide crossings made in both conventional slab waveguides and photonic crystals for transverse magnetic modes are analyzed. Microcavity resonator based filters including micro-rings and micro-disks are also analyzed, as well as channel dropping filters in the forms of photonic crystal monopole cavity and doubly degenerate hexapole cavities. In the second part of this research, the plane wave expansion method is employed to model the photonic crystal band structures or defect modes in photonic crystal defect waveguides. We also build up the band gap maps in rectangular lattice for TE and TM modes. The resonant modes of a rectangular photonic crystal cavity are also investigated by this approach. Finally, we discuss the negative refractive index materials in different photonic components like square and triangular prisms. We compare them with the normal ones. Interestingly we find that the phase velocity is opposite to the group velocity and the refraction direction is different from those in the normal index materials.
Subjects
平面波展開法
負折射率
有限差分時域法
光子晶體
plane wave expansion
Finite-Difference Time-Domain
FDTD
Photonic Crystals
negative refractive index materials
PWM
Type
thesis
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