多區域假譜頻域法及其在光電結構模擬上之應用

Abstract

傳統的頻域演算法或多或少存在有收斂性和效率方面的問題; 為了克服這些困擾, 本篇論文提出一種稱為多區域假譜頻域法的替代方案。 其優越的 '譜準度' 特性大大降低了對於離散化密度的要求, 而多區域法能夠良好地接合不同的材料。透過一些實際範例的實作, 這種方法用於光電結構模擬與設計的實用性及潛力得到了驗證。

Conventional frequency-domain algorithms suffer more or less from convergence and efficiency problems; to overcome these headaches, an alternative called the multidomain pseudospectral frequency-domain method is presented in this thesis. The superior 'spectral accuracy' greatly reduces the requirement for discretization density for smooth functions, and the multidomain approach patches distinct materials together properly. Via implementation of some practical examples, the utility and potential of the method for modeling and design of photonic structures are verified.