The Properties And Applications Of Two-dimensional Photonic Crystal Waveguides

The photonic crystal is artificial periodic microstructures by periodicallyarranging the dielectric materials with different dielectric constants in the space. In1987, Yablonovitch firstly advanced the suppression of spontaneous emission bymeans of the complete band gaps of photonic crystal medium. At the same time, Johnachieved the strong spatially localized light field thought the introduction of randomdielectric constant changes in the band gaps of the photonic crystals. The two mostimportant characteristics of photonic crystals with photonic band gaps and photonlocalization can be used to control light propagation. By introducing point defects inphotonic crystals, a photonic crystal cavity can be formed, and by introducing linedefects in photonic crystals, photonic crystal waveguide structures can be obtained,which can be used to design different functional optical devices. Since the transmittedphotons, having the advantages of the photon interaction between weak, fastertransmission of information, a large transmission bandwidth, become "electronicbottleneck" effect problem solving Select a new material in the photonic crystaloptical device.In this thesis, proceed from the theoretical study of photonic crystals, analyzedthe photonic band gaps properties of photonic crystals and photonic crystal waveguidetransmission characteristics and the coupling characteristics. The main work andinnovations are as follows:1. Using the plane wave expansion method to study the characteristics andinfluencing factors of the different structure of the two-dimensional photonic crystalphotonic band gaps, these factors include the media column shape, medium columnradius (fill rate), the relative refractive index and the lattice structure.2. Using plane wave expansion method to study two-dimensional photoniccrystal waveguide dispersion relation, the transmission characteristics offinite-difference time-domain method analysis, and design of a high-qualitytwo-dimensional triangular lattice photonic crystal90°arc bent waveguide.3. Using plane wave expansion method and finite-difference time-domainmethod to study the dispersion relation of the photonic crystal coupled devices andcoupling efficiency, and design of the three-channel solution of a two-dimensionaltriangular lattice photonic crystal wavelength division multiplexer.