Research Of Photonic Band Structures Of Two-Dimensional Oblique Triangular Lattice And Checkerboard Lattice Straight Waveguide Photonic Crystal

Photonic crystals were periodic optical micro-structure that were capable of generating photonic band gaps. It has many peculiar optical properties and unique light-guiding principle, so it has a number of potential applications in real life. Presently, the researching of PC has become the most advanced project in the optical and optoelectronic field.In chapter one, initial introduction about the concept, properties, application domain and research status quo of PC. In this thesis, Photonic band struetures of Two-dimensional (2D) Photonic crystals have been calculated based on Plane-wave expansion (PWE) method. So the plane-wave expansion method (PWE) and it's numerical arithmetic are analyzed in the second chapter.In chapter three, Based on the two-dimensional equilateral triangular lattice photonic crystals, a new periodic structure is constructed by changing the unit cell-vector of the photonic crystals. The minimum construction unit of the periodic structure is no longer the traditional equilateral triangle, but an optimal oblique triangle. With the method of plan wave expansion, the band gap of two-dimensional oblique triangular lattice photonic crystals were simulated. The result shows that the absolute band gap width be 4.32 times wider than it produced by the two-dimensional equilateral triangular lattice photonic crystals. The influence on oblique triangular lattice photonic crystals by changing the width, rotation angle and relative dielectric constant of the dielectric column is analyzed. The results are very useful to the theoretical research and practical application of two-dimensional photonic crystals, and also provide a rationale for the research and fabrication of integrated two-dimensional photonic crystal waveguide at any angle.The main work of the last chapter is the analysis of Photonic Band Structures with photonic crystal waveguides. Then, combined with supercell technique, Photonic Band Structures of 2D photonic crystal waveguides were calculated. And, the influence factors on photonic band structures, such as width of Medium column and dielectric constant of defective Medium column, were discussed. These results have practical function to direct waveguide designing.