Analysis On The Optical Properties Of One-dimensional Generalized Fibonacci Photonic Crystal

Photonic crystal is a new type of artifical microstructure possessing the characteristics of photonic band-gap and photonic localization, which is composed of two or more different dielectrics arranged periodically. Photonic crystals have gradually indicated potential applications in the fields of interconnect for full optical circuits, optical communication, integration of photoelectron devices and so on. One dimensional photonic crystal can be made easily owing to its simple structure. In addition, 1-D photonic crystal has the properties of 2-D and 3-D photonic crystals, so the theoretical and experimental researches on 1-D photonic crystal are valuable.Aperiodic systems are between periodic structures and disorder systems, whose lattices are arranged by certain iterative rule. They include quasi-periodic and no-quasiperiodic structures. At present, people have already constructed various aperiodic structures, such as Fibonacci model, generalized Fibonacci model,Thue-Morse model, Intergrowth sequence, and so on.We consider the generalized Fibonacci photonic crystal with special materials (positive refractive index material, negative refractive index material and electro-optical material LiNbO₃). Based on transmit matrix, the photonic band-gap varied with different materials is simulated and analyzed in near infrared region. The main work is as follows:1. We discuss the optical properties of one-dimensional generalized Fibonacci photonic crystal composed positive refractive index materials. The conclusion is as follows: the filter channel will shift to high-frequency direction as the incident angle increasing. For GF(1,1) photonic crystal,the symmetric transmission peak is more better with the difference of refractive index increasing, the sequence number j increased leads to symmetric transmission peak splited, and the dependence of filter channel number on periods is almost linear.2. We study the optical properties of one-dimensional generalized Fibonacci photonic crystal containing negative refractive index materials. The results show that the dependence of filter chann number on structure period is a linear relationship. If the third generation mirror symmetry GF(3,1) sequence was choosed as the basic unit, we can find that period P whether taking odd or even, the high quality filter channel will emerge inside photonic band-gap.3. We investigate the optical properties of one-dimensional generalized Fibonacci photonic crystal containing electric-optical material LiNbO₃. The simulation results show that the position of filter channel will be shifted linearly at specific incident angle, and shifted to short wavelength direction with incident angle increasing at fixed external electric field.Transmission characteristics are studied for one-dimensional generalized Fibonacci photonic crystal containing special materials. The simulation results show that the position of filter channel can be tuned by adjusting the structure parameters, which provides theory evidence and reference to manufacture photonic crystal devices.