Fresnel公式，或者用转移矩阵法transfer matrix，见魏光辉的 矩阵光学

任何一本有关物理光学的课本或薄膜光学的课本都有这方面的计算方法，这方面的专门模拟软件也有不少，自己可以上网找找

推荐 康晋发，顾培夫，刘旭等.<<现代光学薄膜技术>>.浙江大学出版 里面有关于传输矩阵的编程步骤

波恩《光学原理 》特性矩阵法貌似很简单

多层膜的反射公式看起来简单，但是真正编程算起来却相当的麻烦。不建议自己编程序，可以到网络上买一个或者下载一个盗版的TFCalc软件或者老麦的软件用，计算起来就简单多了。

引用回帖:

Originally posted by wojinjin at 2009-8-18 15:50:
多层膜反射率的计算过程中，在第一个界面出射的光进入第二个界面时有个相位延迟，这个相位延迟在不同的课本上有两种表示方法，应该是说完全不同两种表述方法，有的书上是2*PI/lamata  *n*d*cos(theta), theta 是折 ...

all these two expressions are correct BUT NOT THE SAME.

(using your words)
An incident beam line is divided into two parts, the deflected and refracted, at an interface  between the media #1 and #2. Your expression of 2*PI/lamata  *n*d*cos(theta) is the TOTAL PHASE DIFFERENCE between these two beam lines in the media #1, which includes two parts, the phase lapse of the refracted beam line in media #2 (=2*PI *n*d*/[lamata*cos(theta)]), and the phase lapse of the deflected beam line in media #1 (=2*n*d*tan(theta)*sin(theta)).

Therefore, the expression of 2*PI *n*d*/[lamata*cos(theta)], which you found in some other textbooks, is only a phase lapse of the refracted beam line in media #2.

Sorry for making you confused in my last post.

[ Last edited by bote on 2009-9-13 at 08:22 ]
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