The Characters Of Band Structure In One-Dimension Photonic Crystals Containing Anisotropic LHM

Photonic crystal is periodic dielectric structure fabricated artificially, which exists photonic band gap. Accordingly, it can provide a good way to control the propagation of photon which is analogous to the case of electrons in semiconductors. One-dimension conventional photonic crystals are arrays of isotropic layered media with different positive refractive indices. Every layered media is isotropic and homogeneous. The novel photonic crystasls are arrays of left-handed and right-handed materials. The basic research for photonic crystal containing anisotropic lefted-handed materials is less, although some reports present the properties of photonic crystal which consists of left-handed and right-handed materials.In this thesis, we make theoretical research on the behavior of light propagation in one dimensional photonic crystal containing anisotropic Left-handed material by means of numerical simulation.The electromagnetic characters of interaction between Left-handed materials and electromagnetic wave are discussed from the Maxwell's equation. The basic differential equation of light spreading in photonic crystal and the theory of one-dimensional optical transfer matrix are studied. The characters of band structure in one-dimensional photonic crystals containing anisotropic Left-handed materials are discussed. The result shows that the band gap varying with the number of period and the thickness of dielectric layer of the photonic crystal containing Left-handed materials, and the angular property is further studied. We discuss the bistable characteristics of one dimensional photonic crystals containing anisotropic Left-handed materials which has nonlinear dielectric defect layer, and discuss the rules of the change of bistable characteristics caused by the change of the structure parameters. We analyse the mechanism and present methods for reducing the threshold of bistable state, which provides reference and theory evidence to realize instruments of Photonic crystal.