Theoretical Study On SOI-based 2D Photonic Crystal Slab

Photonic crystals, namely photonic bandgap materials, are artificially arranged periodic electromagnetic struetures in optical wavelength seale. Due to the periodic modulation of the refraetion index, they possess photonic bandgaps that inhibit the existence of light in certain frequency ranges, which is analogous to what semiconduetor do to the eleetrons. In the last decade. Photonic crystals have been a rapidly developing field becanse of their novel optical properties and importan potential applications. In this dissertation, we study the two-dimension photonic crystals theorctieally. The important results are given as follows:(1) The basic knowledge of PCs is introduced. The possible applications and main theoretical research methods of them are also presented.(2) In this thesis, the photonic band gap of two-dimensional photonic crystals is analyzed with The Plane Wave Expansion Method. Different changes have been maded to find the impact of two-dimensional photonic crystal (triangle, square, hexagonal) band structure of the different factors,such as, media column side length, periodicity and rotation angle. to find a suitable energy band structure of PBG and its influencing factors,Theoretical analysis is given for the two-dimensional silicon-based structural of optimization of parameters.(3) A method,which incorporates Plane Wave Expansion(PWE)method with Finite-Dif ference Time-Domain(FDTD)method, is presented to design and simulate PBG structures, quickly find the exact location of the band gap of two-dimensional photonic crystal(triangle, square, hexagonal), compared two methods of advantages and disadvantages in calculating the band gap.(4) 0.18μm based on two-dimensional silicon photonic crystal waveguide was designed, including the triangular lattice and square lattice structure of the straight waveguide, etc. Several photonic crystal waveguide devices and transmission were carried out simulation and structural optimization. This method get more accurate results than using PWE or FDTD method alone in designing waveguide. The band gap of the structure and the type of waveguide transmission curve simulated have been given by Using Rsoft software.(5) Pairs designs have been maded for a variety of optimization of waveguide in the dielectric material permittivity certain circumstances, the analysis of filling ratio, lattice structure, the details of factors.It is accurace by combining the FDTD method and fast Fourier transform-aided design for the other waveguide devices.