分层介质的新色散法及其在光子晶体中的应用

New dispersive method of stratified medium and its application in photonic crystal

利用光在界面的边界条件,推导光在分层介质系统中新的传输矩阵,利用新传输矩阵得到分层介质系统的色散公式,将新传输矩阵法与传统的特征矩阵法作了比较。并应用该色散公式研究了一维光子晶体的能带,得出:新的传输矩阵及其色散公式不仅能够解决传统的特征矩阵法所能解决的全部问题,而且还能够解决传统的特征矩阵法所不能解决的问题。

Using boundary conditions of electromagnetic wave, a new transfer matrix method and dispersive method that study electromagnetic waves in stratified medium was derived. The transfer matrix method and the classic characteristic matrix method were compared,and photonic bandgap of 1 D photonic crystal was studied. The transfer matrix method and dispersive method can not only solve the problem that characteristic matrix method can solve, the transfer matrix method and dispersive method can also solve the problem that characteristic matrix method can not solve.