具光子量子井之多通道窄頻濾波器

Abstract

本研究主要目的，在於研究具缺陷光子量子井結構的多層多通道窄頻濾波器之特性。本文內容分為兩大部分作研討。 第一，利用以光子量子井當作缺陷運用於光子晶體，可以發現當光子量子井的厚度增加時，共振頻率出現之個數也隨之增加。而光子量子井之週期數增加時，共振頻率將趨於固定。另外，調整光子量子井之材料（即變化光子量子井之折射率）時，共振頻率將隨之變化。 第二，運用不同結構之光子量子井當作缺陷，可分裂共振頻率之鋒值數量。 本研究內容利用轉移矩陣法作為研究方式。A theoretical analysis of resonant transmission in a multilayer multichannel narrowband transmission filter containing a defective photonic quantum-well (PQW) is presented in this thesis. There are two main issues to be studied. First, using PQW as a defect in a photonic crystal, we find that the number of resonant peaks will be increased as the thickness of PQW increases. The peak frequencies, however, will be nearly kept fixed at a certain number of periods in the PQW. Additionally, the peak frequencies can be shifted by changing the index contrast in the PQW. Second, we use the modified photonic quantum-well (MPQW) as a defect in the filter.We find the peak will be split and the number of splitting will be directly proportional to the multiplicity of the structure. We investigate the effects of defect thickness, barrier thickness,and the defect index on the transmittance spectra. The theoretical analysis in this thesis is made based on the transfer matrix method. The format of thesis is as follows: The Chapter 1 is to give a brief review of PCs. The Chapter 2 describes the theoretical method used in our calculation. Some topics under study are arranged in Chapters 3 and 4, respectively. The conclusion is summarized in Chapter 5.