Chinese Journal of Quantum Electronics, Volume. 35, Issue 6, 660(2018)

Calculation method of multi-layer film transmissivity based on Schrodinger equation

Gansheng HOU1,*... Tong HOU1, Chenxing WAN2 and Xiaoyue HOU3 |Show fewer author(s)
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  • 1[in Chinese]
  • 2[in Chinese]
  • 3[in Chinese]
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    In order to reduce the film layer number and improve the reflection efficiency, a multi-layer film transmissivity calculation method is proposed. For the plane wave function of one-dimensional time-independent Schrdinger equation solution, the relation formula of film surface including incident and transmission wave amplitudes are obtained respectively based on the boundary conditions of thin film. The two formulas are connected by transmission and reflection waves inside the film. The relation including the transmission wave amplitude of the film layer is obtained, and that of the multi-layer film is obtained. According to the relationship between energy factor and refractive index, the film thickness is selected according to the matching principle, and the amplitude relation is transformed into an equation to calculate the multi-layer film transmittance. Four kinds of optical media are used to make film system, and the equation is numerically simulated and compared. Results show that the proposed method is feasible and the degenerative critical point of coating reflection effect is found. When the film layer number is 8, the film system reflectivity reaches 99.69%. If the traditional λ/4 film system is adopted, the film layer number must be 13 for reaching standard. It shows that efficiency of the proposed method is about 38% higher than that of the traditional method.

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    HOU Gansheng, HOU Tong, WAN Chenxing, HOU Xiaoyue. Calculation method of multi-layer film transmissivity based on Schrodinger equation[J]. Chinese Journal of Quantum Electronics, 2018, 35(6): 660

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    Paper Information

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    Received: Oct. 24, 2017

    Accepted: --

    Published Online: Dec. 26, 2018

    The Author Email: Gansheng HOU (1536269311@qq.com)

    DOI:10.3969/j.issn.1007-5461. 2018.06.004

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