双曲柱面透射光栅衍射的数值分析

薛喜昌, 田明丽

薛喜昌, 田明丽. 双曲柱面透射光栅衍射的数值分析[J]. 应用光学, 2009, 30(3): 510-513.
引用本文: 薛喜昌, 田明丽. 双曲柱面透射光栅衍射的数值分析[J]. 应用光学, 2009, 30(3): 510-513.
shu
XUE Xi-chang, TIAN Ming-li. Numerical analysis of diffraction for hyperbolic cylinder transmission grating[J]. Journal of Applied Optics, 2009, 30(3): 510-513.
Citation: XUE Xi-chang, TIAN Ming-li. Numerical analysis of diffraction for hyperbolic cylinder transmission grating[J]. Journal of Applied Optics, 2009, 30(3): 510-513.
shu

双曲柱面透射光栅衍射的数值分析

  • 平顶山学院电气信息工程学院,河南平顶山467002

详细信息
    通讯作者:

    薛喜昌（1963-），男，河南林县人，工学硕士，高级实验师，主要从事信息光学与物理实验的教学和研究。

  • 中图分类号: TN256;TH741.6

Numerical analysis of diffraction for hyperbolic cylinder transmission grating

  • College of Electric and Information Engineering,Pingdingshan University,Pingdingshan 467002,China

摘要

    摘要
  • 摘要: 建立了双曲柱面透射光栅的数学模型。由光程的定义导出平行光通过单个双曲柱面的复振幅透过率。用傅里叶光学方法得出双曲柱面透射光栅在频谱面上的光强分布表达式。使用MATLAB软件模拟出其衍射光强随双曲线半实轴变化的分布规律，得出的衍射花样与理论分析一致。最后从理论上指出双曲柱面透射光栅在光学领域的应用。
    Abstract: The mathematical model of the hyperbolic cylinder transmission grating was established. The complex amplitude transmittance was derived from the definition of an optical path when a parallel light passes through a singular hyperbolic cylinder. The expression of light intensity distribution for a hyperbolic cylinder transmission grating on the frequency plane was obtained by means of Fourier transform method. The variation of diffractive light intensity distribution with the hyperbola semi-real axis were simulated with MATLAB. The diffraction fringe agrees with the result of theoretical analysis. The potential application of the hyperbolic cylinder transmission grating in the field of optics is pointed out.
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  • ［1］母国光, 战元龄.光学［M］. 北京:高等教育出版社,1978: 331-335.
    MU Guo-guang, ZHAN Yuan-ling. Optics［M］. Beijing: Higher Education Press, 1978:331-335. (in Chinese)
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    ZHAO Kai-hua, ZHONG Xi-hua. Optics (Ⅱ)［M］. Beijing: Beijing University Press, 1984: 11-15. (in Chinese)
    ［3］丘悦,黄宏一,范滇元,等.可变焦列阵柱面透镜均匀线聚焦系统［J］. 光学学报,1994,14(11):1198-1203.
    QIU Yue, HUANG Hong-yi, FAN Dian-yuan, et al. A uniform line focus system using a Van-Focal cylinder lenses array［J］. Acta Optica Sinica,1994,14(11):1198-1203.(in Chinese with an English abstract)
    ［4］陈万年,王树森,陈斌,等. 用于X射线激光实验研究的列阵柱面透镜线聚焦系统［J］. 光学学报,1991,11(9):829-833.
    CHEN Wan-nian, WANG Shu-sen, CHEN Bin, et al. Cylinder lenses array line focus system for X-ray laser experiments［J］. Acta Optica Sinica, 1991,11(9):829-833. (in Chinese with an English abstract)
    ［5］薛喜昌,戴建民,周火昆. 柱面透射光栅的衍射特性［J］. 光电工程,1997,24(4):61-68.
    XUE Xi-chang, DAI Jian-min, ZHOU Kun. A study on diffraction characteristics of cylindrical trans-missive grating［J］. Opto-Electronic Engineering,1997, 24(4):61-68. (in Chinese with an English abstract)
    ［6］吕林根, 许子道. 解析几何(第三版)［M］. 北京:高等教育出版社,1982:89.
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  • 刊出日期:  2009-05-09

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