Two-Dimensional and Out-Of Plane Photonic Crystal Band Gap Analysis and Its Application to Optical Devices
Date Issued
2004
Date
2004
Author(s)
Hsu, Yong-Chang
DOI
zh-TW
Abstract
In this thesis we investigate the frequency domain problem of 2-D photonic crystals using the Plane Wave Method (PWM). The influence on the accuracy due to different grid numbers in reciprocal lattice space is also examined. In plane wave method , the Maxwell’s equations are represented in eigenvalue-eigenfunction form and the band gaps caused by different periodic lattice arrangement are calculated. We analyze optical cavity and directional coupled waveguide to find the properties of mode. In optical cavities we can find many different resonant frequencies and resonant modes. In optical coupled waveguides we can find that the energy coupling efficiency is affected by distance between waveguides.
Furthermore, another developing emphasis of photonic crystal fiber is the out-of plane propagation of electromagnetic wave on photonic crystal. Different incident angle to crystal leads to different frequency band gap. By this analysis, we can find the total reflection frequency band gap in any incident angle. Different lattice shapes and arrangements also cause different modes, we only examine the arrangements by hexagonal lattice and square lattice in this work. Comparing the simulation results with those available in journals or experiments, we almost get correct results with them and excellent agreement has been obtained in all cases. We can prove the accuracy of program codes within the thesis.
Subjects
能帶
光子晶體
藕合器
共振腔
平面波展開法
光波導管
plane wave method
photonic crystal
bandgap
cavity
optical waveguide
coupler
Type
thesis
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