分析一维光子晶体的传输矩阵法与光学薄膜的菲涅耳系数矩阵法的等效性

一维光子晶体与光学薄膜的结构都具有分层性,为了得它们分析方法的异同,本文比较分析了一维光子晶体能带结构的传输矩阵法与计算光学薄膜分光特性的菲涅耳系数矩阵法,结果发现两种方法在计算一维光子晶体与光学薄膜的反射率与透射率上是等效的,用菲涅耳系数矩阵法计算一维光子晶体的反射率R与入射光波长的变化规律的实例也表明这一点,这两种方法在公式表述中的差别在于位相改变量δ的符号的正负,但不影响计算结果。

On the Equivalence of the Transfer Matrix Method for Investigating one dimensional Photonic Crystal with the Fresnel Coefficient Matrix Method for Analyzing Optical Thin film

To distinguish the similarities and differences of the methods using to analyze one dimensional pho-tonic crystal（PC） and optical thin films（TF） which are provided with the similar stratified structure, the transfer ma-trix method（TMM） for analyzing the band gap of PC and the Fresnel coefficient matrix method（FCMM） for discuss-ing transmission and refection of TF were compared, and the equivalence of these two method for investigating the reflectivity and transmissivity of light of PC and TF was declared through the theory and a example of calculation of PC’s reflectance using FCMM, although existence of plus-minus of sign of variation for phase in the design formula for these two methods.