Modified Plane-Wave Expansion and Modified Finite-Difference Frequency-Domain Methods for the Analysis of Photonic Crystals
Date Issued
2007
Date
2007
Author(s)
Chi, Kai-Hung
DOI
zh-TW
Abstract
An eigenvalue equation was derived from Maxwell equations. By this equation, eigenfrequencies are calculated with known wavevectors. Different numerical methods are used to solve the eigenvalue equation. In this thesis, plane-wave expansion method and finite-difference method are used to solve this eigenvalue equation. Photonic crystals made by dispersive and absorptive material can be analyzed directly by these methods, while conventional plane wave expanison method can not. Isofrequency curves and isofequency surfaces are calculated efficiently by these methods. Finite-difference method is also used to analyze the finite size photonic crystals by using perfect match layer rather than periodic boundary conditions. The loss caused by leakage in photonic crystal waveguides is estimated.
Subjects
光子晶體
特徵值方程式
修改之平面波展開法
修改之有限差分法
色散性
吸收性
有限週期
Photonic crystal
eigenvalue equaltion
modified planewave expansion method
modified finite-difference method
dispersive
absorptive
finite size
Type
thesis
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