Abstract

In this thesis, we shall study the optical properties for the one-dimensional photonic crystals (PCs) containing defects. Two main topics are involved. In the first part, we consider binary defective PCs in the symmetric or asymmetric structures. We investigate the photonic transmission based on the transfer matrix method. The multiple filtering properties can be found in a cascading structure. In the second part, we analyze the transmission properties in a one-dimensional photonic crystal containing twin defects. With the existence of twin defects, a defect mode, i.e., a transmission peak is produced within the photonic band gap in the defect-free photonic crystal. The shape of transmission peak can be controlled by the stack numbers between the twin defects. The dependence of transmission peak on the incident angle is also investigated for both the transverse electric (TE) and the transverse magnetic (TM) waves. The peak becomes narrower as the angle increases in TE wave, whereas it is broadened as a function of the incident angle in TM wave. Discussion on the omnidirectional property in the peak is also given.
Keywords：photonic crystals (PCs), dielectric superlattice, defective PC

Abstract

In this thesis, we shall study the optical properties for the one-dimensional photonic crystals (PCs) containing defects. Two main topics are involved. In the first part, we consider binary defective PCs in the symmetric or asymmetric structures. We investigate the photonic transmission based on the transfer matrix method. The multiple filtering properties can be found in a cascading structure. In the second part, we analyze the transmission properties in a one-dimensional photonic crystal containing twin defects. With the existence of twin defects, a defect mode, i.e., a transmission peak is produced within the photonic band gap in the defect-free photonic crystal. The shape of transmission peak can be controlled by the stack numbers between the twin defects. The dependence of transmission peak on the incident angle is also investigated for both the transverse electric (TE) and the transverse magnetic (TM) waves. The peak becomes narrower as the angle increases in TE wave, whereas it is broadened as a function of the incident angle in TM wave. Discussion on the omnidirectional property in the peak is also given.
Keywords：photonic crystals (PCs), dielectric superlattice, defective PC

Chapter 2 Reference

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

Chapter 3 Reference

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Chapter 4 Reference

1. Yablonovitch, E., “Inhibited spontaneous emission in solid state physics and electronics,” Phys. Rev. Lett., Vol. 58, 2059-2062, 1987.
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