| 双曲柱面透射光栅衍射的数值分析 |
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| 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. |
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| 作者姓名： | 薛喜昌 田明丽 |
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| 作者单位： | 平顶山学院,电气信息工程学院,河南,平顶山,467002 |
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| 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。
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| 关 键 词： | 夫朗和费衍射 透射光栅 双曲柱面 傅里叶变换 MATLAB |
| 收稿时间： | 2008/8/12 |
Numerical analysis of diffraction for hyperbolic cylinder transmission grating |
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| 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. |
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| Authors: | XUE Xi-chang TIAN Ming-li |
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| Institution: | College of Electric and Information Engineering, Pingdingshan University, Pingdingshan 467002, China |
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| 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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| Keywords: | MATLAB |
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