Research On Bandgap Of Photonic Crystal With Special Structure

In modern society, with the rapid development of electronic information technology, the update speed of electronic devices are constantly accelerating. As people continue to study the electronic properties deepeningly,the integrated circuit chip feature size has reached its limit.At this point, the excellent performance of photonic crystals has aroused wide attention,because photonic crystals is used as an information carrier photon, and between photons the interaction is very weak, this greatly reduces the energy consumption, thus improving the efficiency of photon transport block of information, the transmission bandwidth (1015 HZ ),and the photons have a larger capacity, stronger anti-interference performance and better privacy. In addition, the photonic crystals can be used to make integrated optical circuit and used in all-optical communications, computers and other photon -photon industries.In this paper, we focuses on the plane wave expansion method for two-dimensional photonic crystals with special structures launched a detailed study. First of all, we make a simple introduction for photonic crystals, including their preparation, application development process and current research. Subsequently, on the basis of a detailed description of photonic crystal band theory, we also focus on the analysis of the plane wave expansion method which is derived for the next few chapters and provide a solid theoretical foundation for the study of photonic band gap.In this paper, two kinds of two-dimensional photonic crystal with two special structures-"L" Media columnar and fan-shaped media columnar was designed. We use the plane wave expansion method to study two kinds of two-dimensional photonic crystals which composed of L-shaped media column and fan-shaped media column, and analyze the relationship between the band gap and structural parameters of the special structure. Finally, we study the properties of two-dimensional photonic crystal with defect structure, and analyze the effect of rotation to defect structures. In addition, its defect structure was simulated and analyzed by using the plane wave method with super cell expansion.