光柵反射器的電磁分析：品質因子與結構參數之關係

Abstract

本篇論文利用平板介質波導的物理特性配合電磁理論去估算出光柵反射器的品質因子，其中平板波導邊界電場受到介電質差異的擾動(perturbation)對於分析光柵反射器的品質因子有重要的影響，使用數值軟體計算各種結構參數光柵反射器的品質因子並驗證理論估算的品質因子，證明我們能藉由理論估算出光柵反射器的品質因子以省去數值軟體大量的計算時間。 藉由模態耦合理論(Coupled-Mode Theory, CMT)去分析光柵反射器的頻率響應，再由全波模擬的結果驗證光柵反射器的頻率響應頻譜，經由模態耦合理論可以省去模擬軟體大量的計算時間，也能獲得高準確度的頻率響應頻譜。

In this work, we estimate the quality factor of grating reflectors with properties and theories of the planar dielectric waveguide. The scattered electric field due to perturbation of dielectric difference at the waveguide’s boundary is a huge factor to estimate the quality factor of grating reflectors. Then, we use simulation software COMSOL Multiphysics to calculate the quality factor with different structure parameters to clarify and prove we can reduce the time of simulation. We analyze the frequency response of grating reflectors with Couple-Mode Theory and use the full-wave simulation to verify the frequency response. We can save lots of time on the simulation and obtain much more accurate frequency responses.