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本章小结
1.折射与反射特性包括:(1)折射光和反射光的频率与入射光的频率相同;(2)入射光、反射光、折射光与界面的法线共面;(3)入射角等于反射角;(4)入射角与折射角满足斯内尔定律。
2.菲涅耳公式为
![active=true](https://epubservercos.yuewen.com/2AAF26/3590469403000301/epubprivate/OEBPS/Images/figure_0095_0007.jpg?sign=1739304835-RP1gjJ7pFZ43mBV2ObKfWhf7tK2B4tIv-0-a91a2fa24f4054176d3e765258ea4cfd)
3.当入射光以某入射角θB入射时,折射光线与入射光线成90°夹角,而反射光为振动面与入射面垂直的完全线偏振光,此即布儒斯特定律。θB称为布儒斯特角,其值为
θB=arcta n(n2/n1)
4.设r、t为光从介质1到介质2的振幅反射率和振幅透射率,r'、t'为光从介质2到介质1的振幅反射率和振幅透射率,则它们满足斯托克斯关系式,即
r2+tt'=1
r'=-r
5.当光由折射率较大的介质射入折射率较小的介质,即n1>n2 时,由斯内尔定律,可知θ1<θ2。当θ1大到某一角度(临界角)θc时,折射角θ2=π/2。这个临界角称为全反射角,表示为
![active=true](https://epubservercos.yuewen.com/2AAF26/3590469403000301/epubprivate/OEBPS/Images/figure_0095_0008.jpg?sign=1739304835-aq4g2LEa4BVmqAV4z4EqHa02urnLYMHH-0-fa03010a8c5f7ccaed8401a8d78a3b56)
6.当光波从光密介质入射到光疏介质时,会发生全反射。在这种情况下,透射波是隐失波,隐失波的穿透深度可表示为
![active=true](https://epubservercos.yuewen.com/2AAF26/3590469403000301/epubprivate/OEBPS/Images/figure_0096_0001.jpg?sign=1739304835-81RG99ydYaKg3WqdVsP2l26aylHFoKJ2-0-cbf0dc192420940b6c1651ca1f78be93)
7.在金属中,由于等幅面和等相面不一致,因此在其中传播的光波是非均匀波。假设光从介质入射到金属表面,则反射光仍然在介质中,因此反射光还是均匀波。
8.在研究光在分层介质中传播时,通常引入特征矩阵。第k层的特征矩阵表示为
![active=true](https://epubservercos.yuewen.com/2AAF26/3590469403000301/epubprivate/OEBPS/Images/figure_0096_0002.jpg?sign=1739304835-PaV7M83raPTRLZKBrvxSuRkpdvUmtBOH-0-7b77ecd19c1741861e74c7f2900269c4)
当一平面光波入射到N层介质膜系上时,膜系第1层与第N层外侧的场满足
![active=true](https://epubservercos.yuewen.com/2AAF26/3590469403000301/epubprivate/OEBPS/Images/figure_0096_0003.jpg?sign=1739304835-U6B9FQDRmGmOysMTppkE6peMsXo8E4wY-0-c04d28af9363b33cc8204e8ef86926b9)
膜系的振幅反射率和振幅透射率分别为
![active=true](https://epubservercos.yuewen.com/2AAF26/3590469403000301/epubprivate/OEBPS/Images/figure_0096_0004.jpg?sign=1739304835-eLxLNLIJjVNZ42TivtCCQzYH37XzHyFd-0-c08a3450562762e85d7ddf8b40afa31a)
![active=true](https://epubservercos.yuewen.com/2AAF26/3590469403000301/epubprivate/OEBPS/Images/figure_0096_0005.jpg?sign=1739304835-QMaTpEq3uCJItTNSailBde2Jle2LSu4B-0-2a3df10114e6721481ee5511791c89f9)
对以双层膜作为基本周期的多层膜,其特征矩阵为
![active=true](https://epubservercos.yuewen.com/2AAF26/3590469403000301/epubprivate/OEBPS/Images/figure_0096_0006.jpg?sign=1739304835-LYfHUmgeD8T2vBQubscoIAYn4VqDB7yU-0-90ca570a0116decd8a8be75f7b34e5b0)
则光强反射率为
![active=true](https://epubservercos.yuewen.com/2AAF26/3590469403000301/epubprivate/OEBPS/Images/figure_0096_0007.jpg?sign=1739304835-ueYAPl6MeIeiPPbVTkvnUazkVmm1k2xQ-0-d98f591940bf1d62ed8a600574f75be2)