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General model of transmission grating diffraction efficiency

Shang Wan-Li Yang Jia-Min Zhao Yang Zhu Tuo Xiong Gang

General model of transmission grating diffraction efficiency

Shang Wan-Li, Yang Jia-Min, Zhao Yang, Zhu Tuo, Xiong Gang
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  • In the Fraunhofer diffraction approximation, a general model for calculating the transmission grating diffraction efficiency is deduced from wave optics under the condition of far field. Diffraction efficiency of transmission grating with any cross section can be obtained from such a general model. Rectangular, trapezoidal, 5-side quasi-trapezoidal and 7-side quasi-trapezoidal cross section calculation method are established with this model. And two examples are given to demonstrate the correctness of this general model.
    • Funds:
    [1]

    Dijkstra J H, Lantwaard L J 1975 Opt. Commum. 15 300

    [2]

    Brauninger H, Kraus H, Dangschat H, Beuermann K P, Predehl P, Trumper J 1979 Appl. Opt. 18 3502

    [3]

    Arakawa E T, Caldwell P J 1980 Nucl. Instum. & Meth. 172 293

    [4]

    Hawryluk A M 1981 J. Vac. Sci. Tech. 19 897

    [5]

    Bionta R M 1987 Appl. Phys. Lett. 51 725

    [6]

    Eidmann K, Kishimoto T, Herrmann P, Mizui J, Pakula R, Sigel R, Witkowski S 1986 Laser & Part. Beams. 4 521

    [7]

    Mochizuki T, Yabe T, Okada K, Hamada M, Ikeda N, Kiyokawa S, Yamanaka C 1986 Phys .Rev. A 33 525

    [8]

    Tsakiris G D, Herrmann P, Pakula R, Schmalz S, Sigel R, Witkowski S 1986 Europhys. Lett. 2 213

    [9]

    Schnopper H W, Van Speybroeck L P, Delvaille J P, Epstein A, Kallne E, Bachrach R Z, Dijkstra J, Lantward L 1977 Appl. Opt. 16 1088

    [10]

    Brauninger H, Predehl P, Beuermann K P 1979 Appl. Opt. 18 368

    [11]

    Li Y L, Bai W A, Chen S S, Xu Z Z 1989 Acta Optica Sinica 9 550 (in Chinese) [李跃林、 白文安、 陈时胜、 徐至展 1989 光学学报 9 550]

    [12]

    Born M, Wolf E 1964 Principles of Optics (New York: Macmillan) Chap. 8

    [13]

    Yang J M, Ding Y N, Cao L F, Ding Y K, Yang G H, Zhen Z J, Wang Y M, Zhang W H, Cui M Q, Zhu P P, Zhao Y D, Li G 2000 High Power Laser and Particle Beams 12 723 (in Chinese) [杨家敏、 丁耀南、 曹磊峰、 丁永坤、 杨国洪、 郑志坚、 王耀梅、 张文海、 崔明启、 朱佩平、 赵屹东、 黎 刚 2000 强激光与粒子束 12 723]

    [14]

    Shang W L, Zhu T, Xiong G, Zhao Y, Zhang W H, Yi R Q, Kuang L Y, Cao L F, Gao Y L, Yang J M, Zhao Y D, Cui C W, Zheng L, Han Y, Zhou K J, Ma C Y 2011 Acta Phys. Sin. 60 320 (in Chinese) [尚万里、 朱 托、 熊 刚、 赵 阳、 张文海、 易荣清、 况龙钰、 曹磊峰、 高宇林、 杨家敏、 赵屹东、 崔明启、 郑 雷、 韩 勇、 周克瑾、 马陈燕 2011 物理学报 60 320]

  • [1]

    Dijkstra J H, Lantwaard L J 1975 Opt. Commum. 15 300

    [2]

    Brauninger H, Kraus H, Dangschat H, Beuermann K P, Predehl P, Trumper J 1979 Appl. Opt. 18 3502

    [3]

    Arakawa E T, Caldwell P J 1980 Nucl. Instum. & Meth. 172 293

    [4]

    Hawryluk A M 1981 J. Vac. Sci. Tech. 19 897

    [5]

    Bionta R M 1987 Appl. Phys. Lett. 51 725

    [6]

    Eidmann K, Kishimoto T, Herrmann P, Mizui J, Pakula R, Sigel R, Witkowski S 1986 Laser & Part. Beams. 4 521

    [7]

    Mochizuki T, Yabe T, Okada K, Hamada M, Ikeda N, Kiyokawa S, Yamanaka C 1986 Phys .Rev. A 33 525

    [8]

    Tsakiris G D, Herrmann P, Pakula R, Schmalz S, Sigel R, Witkowski S 1986 Europhys. Lett. 2 213

    [9]

    Schnopper H W, Van Speybroeck L P, Delvaille J P, Epstein A, Kallne E, Bachrach R Z, Dijkstra J, Lantward L 1977 Appl. Opt. 16 1088

    [10]

    Brauninger H, Predehl P, Beuermann K P 1979 Appl. Opt. 18 368

    [11]

    Li Y L, Bai W A, Chen S S, Xu Z Z 1989 Acta Optica Sinica 9 550 (in Chinese) [李跃林、 白文安、 陈时胜、 徐至展 1989 光学学报 9 550]

    [12]

    Born M, Wolf E 1964 Principles of Optics (New York: Macmillan) Chap. 8

    [13]

    Yang J M, Ding Y N, Cao L F, Ding Y K, Yang G H, Zhen Z J, Wang Y M, Zhang W H, Cui M Q, Zhu P P, Zhao Y D, Li G 2000 High Power Laser and Particle Beams 12 723 (in Chinese) [杨家敏、 丁耀南、 曹磊峰、 丁永坤、 杨国洪、 郑志坚、 王耀梅、 张文海、 崔明启、 朱佩平、 赵屹东、 黎 刚 2000 强激光与粒子束 12 723]

    [14]

    Shang W L, Zhu T, Xiong G, Zhao Y, Zhang W H, Yi R Q, Kuang L Y, Cao L F, Gao Y L, Yang J M, Zhao Y D, Cui C W, Zheng L, Han Y, Zhou K J, Ma C Y 2011 Acta Phys. Sin. 60 320 (in Chinese) [尚万里、 朱 托、 熊 刚、 赵 阳、 张文海、 易荣清、 况龙钰、 曹磊峰、 高宇林、 杨家敏、 赵屹东、 崔明启、 郑 雷、 韩 勇、 周克瑾、 马陈燕 2011 物理学报 60 320]

  • [1] Hu Xiaoliang, Liang Hong, Wang Huili. Lattice Boltzmann method simulations of the immiscible Rayleigh-Taylor instability with high Reynolds numbers. Acta Physica Sinica, 2020, 69(4): 1-10. doi: 10.7498/aps.69.20191504
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  • Received Date:  25 October 2010
  • Accepted Date:  27 November 2010
  • Published Online:  15 September 2011

General model of transmission grating diffraction efficiency

  • 1. Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China

Abstract: In the Fraunhofer diffraction approximation, a general model for calculating the transmission grating diffraction efficiency is deduced from wave optics under the condition of far field. Diffraction efficiency of transmission grating with any cross section can be obtained from such a general model. Rectangular, trapezoidal, 5-side quasi-trapezoidal and 7-side quasi-trapezoidal cross section calculation method are established with this model. And two examples are given to demonstrate the correctness of this general model.

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