Transfer-Matrix Method and its Applications to Photonic Crystals
Date Issued
2005
Date
2005
Author(s)
Yen, Yi-Ping
DOI
zh-TW
Abstract
In this thesis, we use a transfer-matrix method (TMM) to numerically investigate the transmission characteristics of two-dimensional photonic crystals. The transfer-matrix method has been routinely used to calculate the transmission and reflection spectra of electromagnetic waves propagating through conventional gratings. By adopting the plane-wave bases to expand the electromagnetic field components, we can deal with the electromagnetic wave propagation inside finite/semi-infinite 2D photonic crystals, and further solve the field distributions for related structures such as waveguides and directional couplers. By matching the Bloch condition, we can also calculate the dispersion relation for an infinite photonic crystal and plot the band diagram. Since the slicing scheme in the TMM requires no periodicity along the propagating direction, we can apply this method to solve the transmission spectrum for hetero photonic crystals. Through the properties learned from the simulations, we can better realize the functional elements in optical integrated circuits, and design optimal feature size for each element.
Subjects
傳輸矩陣法
光子晶體
TMM
Photonic crystal
Type
thesis
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