單負材料光子晶體光學性質之研究

Optical Properties of Photonic Crystals Containing Single-Negative Materials

吳聲志(Sheng-Chih Wu)

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(2011年)

摘要

In this thesis, we shall study the optical properties for the one-dimensional photonic crystals (PCs) containing the single-negative (SNG) materials. Three main topics are involved. In the first part, we consider a PC that has a period of ENG-MNG bilayer, where ENG means the epsilon-negative material and MNG is the mu-negative material. We investigate the photonic stop band and passband structure based on the transfer matrix method. In the second part, we study the optical properties for a SNG Fibonacci PC. With this quasi-periodic structure, we show that the photonic band structure is strongly dependent on the number of Fibonacci sequence. The third topic is to study the transmission properties in a defective SNG. The resonant tunneling spectrum will be investigated in the symmetric and asymmetric structure. The defect modes are closely related to the thickness of the SNG layer in addition to the thickness of the defect layer.

關鍵字

光子晶體

並列摘要

In this thesis, we shall study the optical properties for the one-dimensional photonic crystals (PCs) containing the single-negative (SNG) materials. Three main topics are involved. In the first part, we consider a PC that has a period of ENG-MNG bilayer, where ENG means the epsilon-negative material and MNG is the mu-negative material. We investigate the photonic stop band and passband structure based on the transfer matrix method. In the second part, we study the optical properties for a SNG Fibonacci PC. With this quasi-periodic structure, we show that the photonic band structure is strongly dependent on the number of Fibonacci sequence. The third topic is to study the transmission properties in a defective SNG. The resonant tunneling spectrum will be investigated in the symmetric and asymmetric structure. The defect modes are closely related to the thickness of the SNG layer in addition to the thickness of the defect layer.

並列關鍵字

Photonic Crystals

參考文獻

[1] Christophe Caloz, Tatsuoitoh, “Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications”, John Wiley & Sons, Inc., Publication, 2006.

[2] Pochi Yeh, “Optical Waves in Layered Media”, John Wiley & Sons, Singapore, 1991.

[3] H. Rahimi & A. Namdar, “Photonic Transmission Spectrain in One-Dimensional Fibonacci Multilayer Structures Containing Single-Negative Metamaterials”, Electromagnetics Research, PIER 102, 15-30, 2010.

[4] Veselago, V. G., “The Electrodynamics of Substance with Stimultaneously Negative Values of “ε” and “μ” ”, Sov Phys. Usp.,Vol. 10, 509, 1968.

[5] Liwei Zhang, Kai Fang, Guiqiang Du, Haitao Jiang, Junfang Zhao, “Transmission Properties of Fibonacci Quasi-periodic One-dimensional Photonic Crystals Containing Indefinite Metamaterials”, Optics Communications 284 703–706, (2011).