光学学报, 2010, 30 (6): 1542, 网络出版: 2010-06-07   

复宗量厄米高斯光束在大气湍流中的传输特性

Propagation Properties of Elegant Hermite-Gaussian Beams in Atmospheric Turbulence
乔娜 1,*但有全 1,2张彬 1
作者单位
1 四川大学 电子信息学院,四川 成都 610064
2 中国民航飞行学院 物理教研室,四川 广汉 618307
摘要
采用广义惠更斯菲涅耳衍射积分方法和Wigner分布函数的二阶矩定义,推导出在直角坐标系下激光光束经大气湍流传输的远场发散角、束宽以及M2因子的解析表达式,并以复宗量厄米高斯(EHG)光束为例,定量分析了EHG光束在大气湍流中的传输特性。研究表明,光束在大气湍流中传输后的M2因子与入射面上的M2因子、入射面的二阶矩、传输距离、波数以及湍流的影响因子有关;随着在大气湍流中传输距离的增加,EHG光束的远场发散角、束宽和M2因子均会逐渐增大;大气湍流对高阶EHG光束的远场发散角、束宽和M2因子的影响更小;EHG光束在大气湍流中的M2因子与传输距离、湍流的折射率结构参数、光束波长、光束阶数以及基模高斯光束的束腰宽度密切相关。
Abstract
The analytical expressions of the far-field divergence angle,the beam width and the M2-factor in rectangular coordinate systems for laser beams propagating in atmospheric turbulence are derived by using the extended Huygens-Fresnel principle and the definition of the second moments of the Wigner distribution function. Taking the elegant Hermite-Gaussian (EHG) beams as typical examples of laser beams,the propagation properties of the EHG beams in turbulence are analyzed quantitatively. It can be shown that the M2-factor of the laser beams in atmospheric turbulence is related to the M2-factor of the incident plane,the second moments of the incident plane,the propagation distance in turbulence,wavenumber and the influence factor of the atmospheric turbulence. Specially,the far-field divergence angle,the beam width and the M2-factor of the EHG beams increase with the propagation distance in turbulence. And the influences of the atmospheric turbulence on the far-field divergence angle angle,the beam width and the M2-factor of the EHG beams with higher beam order are smaller. The M2-factor of the EHG beams depends on the propagation distance,the structural constant of the refractive index fluctuations of the turbulence,the wavelength,the beam order and the waist width of the fundamental-mode Gaussian beam.
参考文献

[1] . Dan,B. Zhang. Beam propagation factor of partially coherent flat-topped beams in a turbulent atmosphere[J]. Opt. Express, 2008, 16(20): 15563-15575.

[2] . Second moments of partially coherent beams in atmospheric turbulence[J]. Opt. Lett., 2009, 34(5): 563-565.

[3] L. C. Andrews,R. L. Phillips. Laser Beam Propagation through Random Media[M]. Bellingham,Washington:SPIE Press,2005,67

[4] . Gbur,E. Wolf. Spreading of partially coherent beams in random media[J]. J. Opt. Soc. Am. A, 2002, 19(8): 1592-1598.

[5] 王华,王向朝,曾爱军 等. 大气湍流对斜程传输准单色高斯谢尔光束时间相干性的影响[J]. 光学学报,2007,27(9):1548-1552

    Wang Hua,Wang Xiangzhao,Zeng Aijun et al.. Effect of atmospheric turbulence on temporal coherence of Gaussian Schell-model beams propagating in slant path[J]. Acta Optica Sinica,2007,27(9):1548-1552

[6] 季小玲,陈森会,李小庆. 部分相干电磁厄米高斯光束通过湍流大气传输的偏振特性[J]. 中国激光,2008,35(1):67-72

    Ji Xiaoling,Chen Senhui,Li Xiaoqing. Polarization properties of partially coherent electromagnetic Hermite-Gaussian beams in atmospheric turbulence[J]. Chinese J. Lasers,2008,35(1):67-72

[7] A. E. Siegman. Lasers[M]. California:University Science Books,Mill Valley,1986. 626-662

[8] . Y. Shin,L. B. Felsen. Gaussian beam modes by multipoles with complex source points[J]. J . Opt . Soc. Am, 1977, 67(5): 699-700.

[9] . Complex argument Hermite-Gaussian and Laguerre-Gaussian beams[J]. J . Opt . Soc. Am. A, 1986, 3(4): 465-469.

[10] S. Saghafi,C. J. R. Sheppard,J. A. Piper. Characterising elegant and standard Hermite-Gaussian beam modes [J]. Opt. Commun.,2001,191(3-6):173-179

[11] 但有全,张彬. 复宗量厄米高斯光束的相干模表示[J]. 物理学报,2006,55(2):712-716

    Dan Youquan,Zhang Bin. Coherent-mode representation of the elegant Hermite-Gaussian beams [J]. Acta Physica Sinica,2006,55(2):712-716

[12] L. Mandel,E. Wolf. Optical Coherence and Quantum Optics[M]. Cambridge:Cambridge University Press,1995

[13] R. Martinez-Herrero,G. Piquero,P.M. Mejias. On the propagation of the kurtosis parameter of general beams[J]. Opt. Commun.,1995,115(3-4):225-232

[14] S. A. Ponomarenko,J. -J. Greffet,E. Wolf. The diffusion of partially coherent beams in turbulent media[J]. Opt. Commun.,2002,208(1-3):1-8

[15] A. E. Siegman. New development in laser resonator [C]. SPIE,1990,1224:2-14

[16] . Serna,R. Martínez-Herrero,P. M. Mejías. Parametric characterization of general partially coherent beams propagating through ABCD optical systems[J]. J. Opt. Soc. Am. A, 1991, 8(7): 1094-1098.

[17] Baida Lu,Hong Ma. A comparative study of elegant and standard Hermite-Gaussian beams[J]. Opt. Commun.,2000,174(1-4):99-104

乔娜, 但有全, 张彬. 复宗量厄米高斯光束在大气湍流中的传输特性[J]. 光学学报, 2010, 30(6): 1542. Qiao Na, Dan Youquan, Zhang Bin. Propagation Properties of Elegant Hermite-Gaussian Beams in Atmospheric Turbulence[J]. Acta Optica Sinica, 2010, 30(6): 1542.

本文已被 3 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!