基于传输矩阵法的多层介质膜反射特性研究
收稿日期: 2019-11-01
修回日期: 2020-01-07
网络出版日期: 2020-09-07
基金资助
2019 年校级教育教学改革研究项目( 精品课程建设专项) ( 2019JG0840K) 、教育部高等学校电子信息类专业教学指导委员会光电信息科学与工程专业教学指导分委员会2019 年教育教学研究项目资助
Reflection characteristics of multilayer dielectric film based on transfer matrix method
Received date: 2019-11-01
Revised date: 2020-01-07
Online published: 2020-09-07
反膜和高反膜.本文基于传输矩阵法，定量计算了多层介质膜的反射率. 以BK7 玻璃为例，无镀膜时在可见光范围内，其反射
率约为4%.利用薄膜的相消干涉可以减少表面的反射率.镀一层减反膜时，对设计波长550 nm 其反射率下降为1.3%，一旦偏
离设计波长减反效果变差; 镀两层减反膜时，在470 nm～ 670 nm 范围内，减反效果明显改善，反射率均低于1.3%.利用薄膜的
相长干涉可以增加表面的反射率.以熔石英为例，镀一层薄膜时，对设计波长1500 nm 其反射率可由未镀膜时的3.3%提高到
30%; 镀七组薄膜时在1360 nm～ 1660 nm 范围内其反射率均可达99%以上.通过这些定量计算，让学生更加深刻地理解所学理
论知识在实际中的应用，培养工程意识，提高学习兴趣.
马海霞, 武艳军, 王吉明, 路元刚, 杨雁南 . 基于传输矩阵法的多层介质膜反射特性研究[J]. 大学物理, 2020 , 39(8) : 25 -30 . DOI: 10.16854 /j.cnki.1000-0712.190500
Thin film interference is an important content in the teaching of wave optics in University Physics，
and it is also the theoretical basis of thin film optics. One of the most important applications of thin film interference
is to design antireflection and high reflection coatings. Reflectance of multilayer dielectric film is quantitatively calculated
based on transfer matrix method in the manuscript. The reflectance of the one BK7 glass surface without
coatings is about 4% over the visible spectrum; Low reflectance can be obtained by destructive interference of the
thin film. The reflectance of single antireflection coating on glass decreases to 1.3% at the designed wavelength，
550nm. However，performance of such quarter-wave coatings falls off when deviating from the designed wavelength.
The reflectance of double antireflection coatings on glass maintains low reflectance，less than 1.3%，over the 470～
670 nm wavelength range. On the contrary，high reflectance can be obtained by constructive interference of the thin
film. The reflectance of fused quartz can be increased from 3.3% for the bare surface to 30% for the single layer
high reflection coating at the designed wavelength，1500nm. The reflectance of the seven groups of films can reach
more than 99% over the 1360 ～ 1660 nm wavelength range. Through these quantitative calculations，students can
have a deeper understanding of the application of theoretical knowledge in practice，cultivate their engineering
awareness and enhance their interest in learning.
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