Theoretically Study Of Optical Characteristics Of One-dimensional Photonic Crystal

Photonic crystal was presented as a new concept and a new type of artificial microstructured material which is characteristic of photonic band-gap(PBG) structures in 1987. A typical photonic crystal is an object whose refractive index changes periodically. One-dimensional(1D) photonic crystal is the basic configuration in which the refractive index is spatially modulated in 1D. 1D photonic crystal can be made easily due to its simple structure and has the properties of 2D and 3D photonic crystals. These novel optical materials will probably be crucial components in the field of optical communication, so the relevant theoretical researches are valuable and wide application perspectives are expected.The thesis begins with the structured features and mainly discusses the fundamental optical characteristics of finite-period 1D photonic crystal. The thesis gives the demonstration of existence of PEG in 1D photonic crystal with the method of translation matrix. The features of 1D PBG are analyzed by numerical value simulation. The relation between PBG and the structured parameters is discussed on the basis of the demonstration. In addition, the characteristics of the PBG evolution with the polarizations and the incidence angles are presented. The thesis also gives the concept of the electromagnetic density of modes(EDOM). The distribution features of EDOM in the band-edge of 1D photonic crystal are studied according to the computational results. The dispersive properties of 1D photonic crystal are discussed by introducing the concept of complex effective refractive index.