The Simulation And Analysis Of Defect Mode Transmission Peak Of The Locally Doped Photonic Crystal

Photonic crystal as artificial crystal materials can not only control the radiation patternsof its internal, but also has the special effect to the external excitation field, it has become theresearch focus of the theory of electromagnetic field, the nanotechnology, the micro-electronics and the optical information technology etc. At present, the research about triplyperiodic photonic crystal heterostructures is not much. Compared with dual-periodicalphotonic crystal heterostructure, the advantage it has is not clear too. In order to have a betterunderstanding on the characteristics of the photonic crystal for extensive application in thefield of optical information. Using the one-dimensional dielectric system processing opticalpropagation method-the transfer matrix method, combined with Matlab and Origin softwareprogramming, through innovative research on the MTPPCH, this paper carried out thefollowing research work:(1) we widely retrieved relevant literatures about research on optical properties ofphotonic crystals and photonic crystal with defect layer at home and abroad, and find thatpreparation technology and technology of the one-dimensional photonic crystal is relativelymature, there are many studies and application of a one-dimensional dual-photonical photoniccrystal (AB)Nand its doped optical properties. However, there are few literature about thetheory study and application of the MTPPCH. This paper established the MTPPCH model,and make sure the research direction of photonic crystal band gap and localized state of theMTPPCH.(2) Taking the basic equation of photonic crystal, namely, Maxwell equations and physical equations as the starting point, the relationship between optical constants anddielectric constants and the three propagation characteristics of light has been introducedsystematically. Besides, this paper briefly introduces the concept and structure of the photoniccrystal, and the common analysis method of photonic crystals used as well as the physical andchemical preparation technology. it sets forth the unique characteristics of photonic crystalssuch as photonic band gap, Anderson photon localization effects, polarization properties andthe specific application of photonic crystals in these aspects.(4) After briefly describing the concept of cycle and defect of photonic crystalheterostructure, as well as the structure and classification of defect layer, it exhaustivelyderives the feature matrix of periodic multilayers film from the feature matrix of monolayerfilm. It provides a theoretical basis for the discussion of transmission characteristics ofelectromagnetic wave in the photonic crystal model.(5) Through the establishment of physical model, adopting the transfer matrix methodand combining the Matlab software and Origin software programming, we describe therelationship between photonic bandgap form and mirror periodic numbers, the numbers ofphotonic bandgap and the transmission peak and the layer thickness of photonic crystal, theincoming angle and the position of photonic bandgap and the transmission peak. It got theoptimal parameters of the photonic crystal and the appropriate photonic band gap and localstate, provided a theoretical reference for the design of high quality mirror, low thresholdlasers and multi-channel filter.