超穎材料之光子晶體電磁特性研究

翁茂東

指導教授 ： 吳謙讓

國立臺灣師範大學/理學院/光電科技研究所/碩士(2008年)

摘要

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.

關鍵字

光子晶體 ； 左手材料

並列摘要

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.

參考文獻

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5. Winn. J. N., Y. Fink, S. Fan, and J. D. Joannopoulos, “Omnidirectional reflection from a one-dimensional photonic crystal,” Opt. Lett., Vol. 23, 1573-1575, 1998.

6. Srivastava, S. K. and S. P. Ojha, “Enhancement of omnidirectional reflection bands in one-dimensional photonic crystal structures with left-handed materials,” Progress In Electromagnetics Research, PIER 68, 91–111, 2007.

7. Singh, S. K., J. P. Pandey, K. B. Thapa, and S. P. Ojha, “Structural parameters in the formation of omnidirectional high reflectors,” Progress In Electromagnetics Research, PIER 70, 53-78, 2007.