Simulation of Magnetic Photonic Crystal
Date Issued
2008
Date
2008
Author(s)
Cheng, Chia-Fu
Abstract
This thesis focuses on the performances of MPCs (magnetic photonic crystals). Accordingly, the optical property of MPCs will be demonstrated and then it can be used well in following research. The article considers that the magnetic material layer of MPCs is bismuth-substituted yttrium iron garnet (Bi-YIG) which is ferromagnetic material, and the isotropic material layers are GGG, GaAs, SiO2, etc. Those materials have different relative permittivities. The influence of the material property, the lattice structure, and the arrangement on the bandgap is simulated and discussed. In the chapter 2, 1-D layer MPCs with the transfer matrix method (TMM) is analyzed and its band structure under the infinite period assumption is obtained. Secondly, consider various MPCs, and analyze the Faraday rotation effect in the finite layers. Consequently, the Faraday rotator can be carried out. The mode analysis of various MPCs by the full-vectorial finite element method is demonstrated in the chapter 3. Using the non-reciprocal symmetry of MPC, the photonic waveguide which isolates the EMW with the specific frequency in 2D assumption can be devised. Finally, the following conclusions are made：. MPCs with the defect mode have the obvious Faraday rotation effect.. The bandgap is slightly influenced by the applied external magnetic field.. Non-reciprocity only appears in the MPCs with specific arrangement.. The main differences between general PCs (photonic crystals) and MPCs are the enhancement of the magnetic-optic effect, non-reciprocity, etc.
Subjects
Magnetic Photonic Crystal
Transfer Matrix Method
Faraday Rotation Effect
Finite Element Method
Non-reciprocal Symmetry
Faraday Rotator
Type
thesis
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