Filter Characteristics Of One-Dimensional Ternary Doped Photonic Crystal

In this thesis, we introduce the theoretical knowledge required for the optical transfer matrix method based on Maxwell’s equations. We derive the optical transfer matrixes of single-layer medium and multi-layer medium using the basic theory of electromagnetic wave propagation in a photonic crystal.Based on the transfer matrix method, we find an arrangement with the best transmission from24kinds of arrangement by using four different refractive index medium (PbTe(A), SiO2(B), TiO2(C), GaAs(D)) as different periodic arrangement. The best arrangement indicates that (ABC)N is the cycle unit and D is doped layer media. Four models of one-dimensional ternary doped photonic crystals are established and the influences of different electromagnetic waves on transmissivity are studied for different models with the variation of N. We find that the form such as (ABC)5D(ABC)5structure of one dimensional doped photonic crystal has the best transmittance about80%under the electromagnetic wave with wavelength938nm or940nm. We have investigated the (ABC)ND(ABC)N structure with3-layer doping and5-layer doping. The result shows multiple "penetrable window", which enable multichannel filtering. In (ABC)NADC(ABC)N structure, one dimensional doped photonic crystal in the form of (ABC)6ADC(ABC)6has been found, which has been calculated to have almost100%transmittance at the location of891.7nm wavelength based on the optical transmission matrix method.We have set the one-dimensional ternary doped photonic crystal model using transfer matrix method and have studied the influences of changing the incidence angles of the above two photonic crystals on transmissivity under certain wavelength.We have also found the best thickness values and transmittance by changing the doped layer thickness of the photonic crystals and drawing the corresponding transmittance.