中文说明:通常把拥有光子能带结构,特别是包含光子带隙的周期性电介质结构称为光子晶体,光子晶体的理论与应用都在过去的几十年中都取得了很大的进展。在光子晶体的最新研究中,狄拉克奇点和几何位相等新的性质变得非常热门。 本程序介绍了传输矩阵法与散射矩阵法,然后简要地介绍了表面等离子激元,并利用传输矩阵法计算了典型的色散关系。随后又对介质板波导模的色散关系进行了计算,其TM模式分别进行了讨论。本文通过坡印廷矢量来计算能流,利用能流密度定义了透射率与反射率,并计算了介质板的透射率与反射率。对于一维光子晶体,利用传输矩阵法计算出了光子晶体的能带结构和电磁场的分布,并对光子晶体的能带结构和场分布进行了简要地分析。
English Description:
Usually with Photonic band structure, and contains in particular the periodic dielectric structures of Photonic band gap called Photonic crystals, theory and application of Photonic crystals in the past couple of decades have made great progress. In the latest research in Photonic crystals, Dirac geometry and singularity of new properties has become very popular. This procedure describes the scattering matrix method and transfer matrix method, and then briefly introduced the surface Plasmon polaritons and using transfer matrix method to calculate the dispersion relation of a typical. Then on dielectric slab waveguide mode to calculate the dispersion relation, discusses its TM model respectively. This paper calculates the energy flow by Poynting vector, using energy flow density defined transmittance and reflectance and transmittance and reflectance of the laminate are calculated. For one-dimension Photonic crystals using transfer matrix method to calculate the energy band struct