| The Wigner distribution function of a super Lorentz–Gauss SLG_(11) beam through a paraxial ABCD optical system |
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| 引用本文： | 周益民,周国泉. The Wigner distribution function of a super Lorentz–Gauss SLG_(11) beam through a paraxial ABCD optical system[J]. 中国物理 B, 2013, 0(10): 272-280 |
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| 作者姓名： | 周益民 周国泉 |
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| 作者单位： | School of Sciences, Zhejiang Agriculture ＆ Forestry University, Lin＇ an 311300, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No.10974179);the Natural Science Foundation of Zhejiang Province,China(Grant No.Y1090073) |
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| 摘 要： | An orthonormal beam family of super Lorentz-Gauss （SLG） beam model is proposed to describe the higher-order mode beams with high divergence, which are generated by a high power diode laser. Here we consider the simplest case of the SLG beams, where there are four mutually orthogonal SLG beams, namely SLG00, SLG01, SLG10, and SLGll beams. The SLG00 beam is just the Lorentz-Gauss beam. Based on the Collins integral formula and the Hermite-Gaussian expansion of a Lorentz function, an analytical expression for the Wigner distribution function （WDF） of an SLG11 beam through a paraxial ABCD optical system is derived. The properties of the WDF of an SLG11 beam propagating in free space are demonstrated. The normalized WDFs of an SLG11 beam at the different spatial points are depicted in several observation planes. The influence of the beam parameter on the WDF of an SLGI 1 beam in free space is analyzed at different propagation distances. The second-order moments of the WDF of an SLG11 beam in free space are also examined. This research reveals the propagation properties of an SLGll beam from another perspective. The WDFs of SLG01 and SLG10 beams can be easily obtained by using the WDFs of Lorentz-Gauss beam and the SLG11 beam.
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| 关 键 词： | 近轴ABCD光学系统 维格纳分布函数 高斯光束 洛伦兹 Wigner分布函数 二极管激光器 自由空间 解析表达式 |
The Wigner distribution function of a super Lorentz-Gauss SLG11 beam through a paraxial ABCD optical system |
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| Abstract: | Wigner distribution function, super Lorentz-Gauss beam, paraxial ABCD optical system |
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| Keywords: | Wigner distribution function super Lorentz-Gauss beam paraxial ABCD optical system |
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