標題: Tight-binding theory for coupled photonic crystal waveguides
作者: Chien, F. S. -S
Tu, J. B.
Hsieh, W. -F.
Cheng, S. -C.
光電工程學系
光電工程研究所
Department of Photonics
Institute of EO Enginerring
公開日期: 1-Mar-2007
摘要: The point-defect coupling under the tight-binding approximation is introduced to describe the behavior of dispersion relations of the guided modes in a single photonic crystal waveguide (PCW) and two coupled identical PCWs. The cross-coupling coefficient beta of a point defect in one PCW to the nearest-neighboring (NN) defect in the other PCW causes the split of the dispersion curves, whereas the cross-coupling coefficient gamma to the next-NN defects causes a sinusoidal modulation to the dispersion curves. Furthermore, the sign of beta determines the parities of the fundamental guided modes, which can be either even or odd, and the inequality parallel to beta parallel to <parallel to 2 gamma parallel to is the criterion for the crossing of split dispersion curves. The model developed in this work allows for deriving the coupled-mode equations and the coupling length.
URI: http://dx.doi.org/10.1103/PhysRevB.75.125113
http://hdl.handle.net/11536/11038
ISSN: 1098-0121
DOI: 10.1103/PhysRevB.75.125113
期刊: PHYSICAL REVIEW B
Volume: 75
Issue: 12
起始頁: 0
結束頁: 0
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