Gain Of The Transmission Characteristics Of The One-dimensional Photonic Crystal Research

Photonic crystal is a new type of artificial microstructured material with characteristic of photonic bandgap (PBG) structure. And it has peculiar ability of inhibiting spontaneous radiation of atoms and controlling light propagation. It will be widely used in the fields of optical communication, microwave communication, integration optical and many others. One-dimensional (1D) photonic crystal can be made easily due to its simple structure and has the properties of 2D and 3D photonic crystals. This 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 summary of the dissertation is as follows:1.The historical background, the physical foundation and the main properties (photonic bandgaps and photonic localization) of photonic crystals are introduced in chapter Ⅰ. Different design methods and different theoretical research methods are also compared in this chapter. Finally, possible utilization and main research fields in photonic crystal are listed so that we can set the aim of the present thesis.2. Chapter Ⅱ studies from the Maxwell's equation, We deduces the basic differential equation of light spreads in photonic crystal and the theory of one dimensional optical transfer matrix. This theory has small calculation quantity and high precision in calculation and may calculate photonic bandgap properties of photonic crystals.3.We discuss the influence of complex dielectric constant on one dimension photonic bandgap in Chaper Ⅲ .The transfer matrix method is reported to obtain the band structure of 1D photonic crystals. Using this method, we calculated the band structures of 1D crystals with complex dielectric constant, especially, discussing on the case ofnegative imaginary part. The results show that a large enhancement of stimulated emission appears at the photonic band edges. On the one hand, the stimulated emission strengthens with the increasing of the photonic crystals' period. On the other hand, when the imaginary part increases to 0.036, the gain reaches the maximum. This conclusion may help to the experimental study of ID crystals.4. The character of transmission spectrum in dual-periods one-dimensional phontonic crystals (AnBm)N ^specially the extension of the phonic band gap and the multichannel filters are analyed numerically with the optical transfer matrix method.The results show that the phontonic crystals may be applicable to a wide-band reflector when N = 1;the multichannel filters with high-quality factors may generate in the dual-periods one-dimensional phontonic crystals in the case of N > 1. The longwave and shortwave sections filters may be obtained with different pile turn, the number of the channels is N -1 ,and the filting quality versusing the phontonic crystals paramerters( n ^ m) are discussed, which might supply a beneficial reference for designing and fabriting the high-quality reflector and the multichannel filters.