Summary: | 碩士 === 龍華科技大學 === 電機工程研究所 === 99 === THis thesis uses Fabry-Perot cavity model theory to study the square lattice structure for two-dimensional photonic crystal circuits. A dual 90゚bend waveguide cavity, a dual 45゚bend waveguide cavity, and a straight waveguide are modeled. Then by using simple numerical calculation, the results can be quickly obtained, and the results are in good agreement with those simulated by finite-difference-time-domain simulation method.
In the analysis, finite-difference-time-domain method is used to analyze the spectram response of structure, and then calculate the corresponding resonance frequency. Applying Fabry-Perot resonator principle, the proposed numerical model is derived. Then the spectral response of the dual 45゚, dual 90゚and straight waveguide of different lengths can be estimated. Finally, results obtained by using the proposed model is compared with those obtained by FDTD method.
The proposed two-dimensional photonic crystal circuit model can significantly reduce the simulation time with reasonable accuracy. As a result, the method is potentially useful for the study of to large-scale photonic crystal circuits.
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