| 厄米-双曲余弦-高斯光束在有光阑光学系统中的传输 |
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| 引用本文： | 刘明萍,马善钧,陶向阳. 厄米-双曲余弦-高斯光束在有光阑光学系统中的传输[J]. 江西师范大学学报(自然科学版), 2005, 29(1): 42-46 |
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| 作者姓名： | 刘明萍 马善钧 陶向阳 |
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| 作者单位： | 江西师范大学,物理与通信电子学院,江西,南昌,330027 |
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| 摘 要： | 从Collins公式出发，对厄米-双衄余弦-高斯(HChG)光束通过有硬边光阑限制的近轴ABCD光学系统的传输进行了研究．采用将矩形函数展开为有限个复高斯函数之和的方法，推导出了光场分布的解析表达式．给出了数值计算结果，并与直接对Collins公式作数值积分的结果进行了比较，充分显示此解析方法不仅便于物理分析，而且可节约大量机时．
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| 关 键 词： | 厄米-双曲余弦-高斯光束 近轴ABCD光学系统 复高斯函数 硬边光阑 形函数 解析表达式 光场分布 传输 物理分析 直接 |
| 文章编号： | 1000-5862(2005)01-0042-05 |
Propagation of Hermite-Cosh-Gaussian Beams Passing Through an Aperture Optical System |
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| Liu Ming-Ping,MA Shang-jun,TAO Xiang-yang. Propagation of Hermite-Cosh-Gaussian Beams Passing Through an Aperture Optical System[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2005, 29(1): 42-46 |
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| Authors: | Liu Ming-Ping MA Shang-jun TAO Xiang-yang |
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| Abstract: | Based on the Collins integral formula, the propagation of Hermite-Cosh-Gaussian(HChG) beams passing through paraxial ABCD optical system with a hard-edge aperture is studied. With the rectangular function expanded into a finite sum of complex Gaussian functions, an approximate analytical propagation equation of HChG beams is derived. Numerical results are given and compared with those derived by the straightforward integral of the Collins formula, which shows the advantage of improving the calculation efficiency. |
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| Keywords: | Hermite-Cosh-Gaussian beams complex Gaussian function hard-edge aperture paraxial ABCD optical system |
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