吳謙讓翁茂東2019-09-04不公開2019-09-042009http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22GN0694480280%22.&%22.id.&http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/98156Abstract Photonic crystals (PCs) are periodic structures made of materials with different refractive indices. With their special electromagnetic properties, researches on PCs continue to be hot in recent years. In this thesis, we study the electromagnetic and optical properties of PCs by using the Abeles theory. The thesis consists of six chapters. The first chapter is to give a brief review of PCs and Left Handed Materials (LHMs). The second introduce the Abeles theory which will be used for our calculation. Some topics under study are given in chapter 3, 4 and 5, respectively. The conclusion is then summarized in chapter 6. In chapter 3, we analyze the reflectance and transmittance in a layered structure containing DPS and DNG media, and we found that the losses play an important role about it. In chapter 4, we show our some novel structures of chirped DBR, which can enhance reflection bandwidth in different ways. In chapter 5 we have constructed a multilayered spatial filter with an ultralow permittivity material and a typical dielectric, it has matched impedance.Abstract Photonic crystals (PCs) are periodic structures made of materials with different refractive indices. With their special electromagnetic properties, researches on PCs continue to be hot in recent years. In this thesis, we study the electromagnetic and optical properties of PCs by using the Abeles theory. The thesis consists of six chapters. The first chapter is to give a brief review of PCs and Left Handed Materials (LHMs). The second introduce the Abeles theory which will be used for our calculation. Some topics under study are given in chapter 3, 4 and 5, respectively. The conclusion is then summarized in chapter 6. In chapter 3, we analyze the reflectance and transmittance in a layered structure containing DPS and DNG media, and we found that the losses play an important role about it. In chapter 4, we show our some novel structures of chirped DBR, which can enhance reflection bandwidth in different ways. In chapter 5 we have constructed a multilayered spatial filter with an ultralow permittivity material and a typical dielectric, it has matched impedance.光子晶體左手材料