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.

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.

[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).

[6] Victor Veselago, Leonid Braginsky, Valery Shklover, and Christian Hafner,
“Negative Refractive Index Materials”, Journal of Computational and Theoretical Nanoscience Vol.3, 1–30, 2006.

[7] F.F. de Medeiros, E.L. Albuquerque, M.S. Vasconcelos, “Transmission Spectra in Photonic Band-gap Fibonacci Nanostructures”, Surface Science 601 4492–4496, 2007.

[8] Deng XinHua, LIU NianHua, “Resonant Tunneling Properties of Photonic Crystals Consisting of Single-Negative Materials”, Sci. In China Press, 2008.

[9] Haitao Jiang, Hong Chen, Hongqiang Li, Yewen Zhang,Jian Zi, and Shiyao Zhu, “Properties of One-dimensional Photonic Crystals Containing Single-Negative Materials”, Phys. Rev. E, 69, 066607 (2004).

[10] Li-Gang Wang, Hong Chen, and Shi-Yao Zhu, “Omnidirectional Gap and Defect Mode of One-dimensional Photonic Crystals with Single-Negative Materials”, Phys. Rev. B 70, 245102 (2004).