The Investigation On The Band Gap Property Of The Ten-fold Photonic Quasicrystal

The quasi-crystals is similar to the crystal long-range ordered atomic arrangement, but do not have the translational symmetry of a crystal structure. Discovered the obvious symmetrical electron diffraction pattern of the alloy in the1984, shechtman et al quench solidification of Al-Mn alloy, they call it "has a long-range orientational order but no translational order" of a substance. People aligned crystal structure on the preparation, scientists used to quench solidification, deep cold technology, mechanical alloying preparation method can produce a variety of alloys quasicrystalline structure and alignment of the thermal stability of the crystal structure, mechanical properties, electrical properties, magnetic properties, elastic potential energy, the defect areas. PQCs application prospects in coupled-cavity waveguides, low-threshold lasers, light emitting diodes, optical solitons, negative refraction imaging photonic crystal advantage.1In this paper, the introduction summarizes the background and the development and research of the structure of photonic crystals and quasicrystals. Photonic crystals and quasi-periodic photonic crystal applications.2a detailed analysis of the structure of quasicrystals how to build, to build10heavy quasi-periodic photonic crystal structure and the Penrose puzzles. Several typical photonic band gap characteristics analysis methods are discussed, and how to use the plane wave expansion of the10re-quasi-periodic photonic crystal band gap calculation of a detailed study to determine the plane wave expansion method for the paper analyzes ten heavy the main way to quasi-periodic photonic crystal.3Calculated and analyzed by10-fold quasi-crystal band gap characteristics, changing the dielectric constant, the fill factor to observe the characteristics of the10re-quasi-periodic photonic crystal band gap,10-fold quasi-crystal and eight-fold quasi-crystal characteristics.obtained the conclusions of the ten quasicrystal quasicrystals better bandgap properties than eight-fold.4one-dimensional defects in quasi-periodic photonic crystal band gap properties. One-dimensional of the the use of the Fibonacci sequence texture and structure there are the defects quasicrystal photonic crystal, the use of the the MATLAB Programming calculation, get the one-dimensional of the a simulated quasi-crystal photonic crystal optical transmission characteristics. And compare the Fibonacci one-dimensional quasi-crystal photonic crystal with the classical periodic one-dimensional photonic crystal band gap changes.