| 非傍轴旋转对称拉盖尔-高斯光束的远场发散角 |
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| 引用本文： | 康小平,吕百达.非傍轴旋转对称拉盖尔-高斯光束的远场发散角[J].激光技术,2006,30(2):181-182,185. |
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| 作者姓名： | 康小平 吕百达 |
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| 作者单位： | 琼州大学,物理系,五指山,572200;四川大学,激光物理与化学研究所,成都,610064;四川大学,激光物理与化学研究所,成都,610064 |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | 基于功率密度的二阶矩方法,推导出了非傍轴旋转对称拉盖尔-高斯(LG)光束远场发散角的解析公式,并表示为伽玛函数的幂级数求和形式。计算结果表明,当初始束腰宽度和波长之比w0/λ趋于0时,对任意非傍轴旋转对称LG光束,远场发散角趋于渐近值63.435°,与阶数无关。对于p=0的特例,则退化为非傍轴高斯光束的结果。
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| 关 键 词： | 激光光学 非傍轴拉盖尔-高斯光束 功率密度 发散角 |
| 文章编号： | 1001-3806（2006）02-0181-02 |
| 收稿时间： | 2004-11-08 |
| 修稿时间： | 2004-11-082005-02-24 |
Far-field divergence angle of nonparaxial rotationally symmetric Laguerre-Gaussian beams |
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| KANG Xiao-ping,L Bai-da.Far-field divergence angle of nonparaxial rotationally symmetric Laguerre-Gaussian beams[J].Laser Technology,2006,30(2):181-182,185. |
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| Authors: | KANG Xiao-ping L Bai-da |
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| Affiliation: | KANG Xiao-ping,L(U) Bai-da |
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| Abstract: | Based on the second-order moment of the power density,the far-field divergence angle of nonparaxial rotationally symmetric Laguerre-Gaussian(LG)beams is derived and expressed in a sum of the series of the Gamma function. It is shown that the far-field divergence angle of nonparaxial rotationally LG beams approaches to an asymptotic value of 63.435° as the initial waist-width to wavelength ratio w0/λ approaches zero,which is independent of the order. For the special case of p = 0 our result reduces to that of nonparaxial Gaussian beams. |
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| Keywords: | laser optics nonparaxial Laguerre-Gaussian(LG) beam power density divergence angle |
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