Two and Three-Dimensional Photonic Crystal Band Gap Analysis and Applications
碩士 === 國立臺灣大學 === 應用力學研究所 === 94 === The thesis has divided into six chapters .the first includes the introduction of photonic crystal and reviewer. Second we investigate the frequency domain method and the 1D、2D、3D formulas. The plane wave method is very convenient and directly numerical method。The...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2006
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| Online Access: | http://ndltd.ncl.edu.tw/handle/92798284317891659392 |
| Summary: | 碩士 === 國立臺灣大學 === 應用力學研究所 === 94 === The thesis has divided into six chapters .the first includes the introduction of photonic crystal and reviewer. Second we investigate the frequency domain method and the 1D、2D、3D formulas. The plane wave method is very convenient and directly numerical method。The Maxwell equations are represented eigenvalue-eigenfunction form and the bands caused by different periodic lattice arrangement are calculated。 The third chapter we analyze the band gap in honeycomb and triangular structure to compare the structure uniform。Then we change the index and discuss the properties of photonic crystal. The influence on the accuracy due to different grid number in reciprocal lattice space is also examined. We analyze optical cavity and directional coupled to find the properties of mode and control the direction of wave propagation by matching up defect mode and waveguide mode。 Finally we use FDTD numerical method to analyze 3D waveguide propagation and discuss it `s lose .
Comparing the simulation result with those available in journals or experiments we almost get correct results with them and excellent agreement has been obtain in all case we can prove the accuracy of program codes within the thesis
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