中国激光, 2010, 37 (8): 1983, 网络出版: 2010-08-13   

随机双曲余弦高斯电磁光束互偏振度通过透镜的传输

Propagation of the Degrees of Cross-Polarization of Random Cosh-Gaussian Electromagnetic Beams Through a Lens
作者单位
1 四川大学 激光物理与化学研究所,四川 成都 610064
2 洛阳师范学院 物理系,河南 洛阳 471022
摘要
从随机电磁光束的相干和偏振性的统一理论出发,利用交叉谱密度矩阵传输公式,推导出随机双曲余弦高斯(ChG)电磁光束通过透镜后2×2交叉谱密度矩阵的传输解析公式,并用以表示任意两点的互偏振度,即纵向互偏振度(LDCP)和横向互偏振度(TDCP)。研究表明,随机ChG电磁光束的互偏振度与透镜焦距及随机ChG电磁光束的参数,例如随机ChG电磁光束系数比、离心参数和自相关长度等有关。随机高斯谢尔模型(GSM)电磁光束通过透镜的互偏振度可作为随机ChG电磁光束离心参数为0的特例得出。对主要结果用数值计算作了说明,并给出相应的物理解释。
Abstract
Based on the unified theory of coherence and polarization of random electromagnetic beams and the propagation law of cross-spectral density matrix,the closed-form expression for the 2×2 cross-spectral density matrix of random cosh-Gaussian(ChG) electromagnetic beams propagating through a lens is derived,and used to formulate the degrees of cross-polarization,i.e.,the longitudinal degree of cross-polarization (LDCP) and the transverse degrees of the cross-polarization (TDCP) between two arbitrary points upon propagation. It is shown that the degrees ofcross-polarization depend on the focal length of the lens and beam parameters,such as the coefficient ratio,decentered parameter and self-correlation length. The degrees of cross-polarization of radom Gaussion Schell-model (GSM) electromagnetic beams propagating through a lens can be treated as a special case that the decentered parameter of random ChG electromagnetic beams approaches to zero. The main results are illustrated numerically and interpreted physically.
参考文献

[1] . Ellis,A. Dogariu. Complex degree of mutual polarization[J]. Opt. Lett., 2004, 29(6): 536-538.

[2] 季小玲,陈森会,李晓庆. 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

[3] 舒建华,陈子阳,蒲继雄. 部分相干光经多个圆孔衍射后的偏振度变化[J]. 中国激光,2008,35(6):849-854

    Shu Jianhua,Chen Ziyang,Pu Jixiong. Changes in the degree of polarization of partially coherent lights diffracted by multiple circular apertures[J]. Chinese J. Lasers,2008,35(6):849-854

[4] 葛廷武,陆丹,徐坤 等. 光栅致双折射引起偏振相关损耗的理论分析[J]. 中国激光,2008,35(7):1024-1028

    Ge Tingwu,Lu Dan,Xu Kun et al.. Theoretical analysis of polarization dependent loss induced by fiber gratings[J]. Chinese J. Lasers,2008,35(7):1024-1028

[5] 张志明,蒲继雄,王喜庆. 圆柱偏振贝塞耳高斯光束经高数值孔径透镜的聚焦[J]. 中国激光,2008,35(3):401-405

    Zhang Zhiming,Pu Jixiong,Wang Xiqing. Focusing of cylindrically polarized Bessel-Gaussian beams through a high numerical-aperture lens[J]. Chinese J. Lasers,2008,35(3):401-405

[6] . Shirai,E. Wolf. Correlations between intensity fluctuations in stochastic electromagnetic beams of any state of coherence and polarization[J]. Opt. Commun., 2007, 272(2): 289-292.

[7] . N. Volkov,D. F. V. James,T. Shirai et al.. Intensity fluctuations and the degree of cross-polarization in stochastic electromagnetic beams[J]. Pure Appl. Opt., 2008, 10(5): 1-4.

[8] . . Effect of cross-polarization of electromagnetic source on the degree of polarization of generated beam[J]. Opt. Commun., 2008, 281(8): 1954-1957.

[9] . Korotkova. Propagation of the degree of cross-polarization of a stochastic electromagnetic beam through the turbulent atmosphere[J]. Opt. Commun., 2009, 282(9): 1691-1698.

[10] . Sahin,O. Korotkova,Zhang Guowen et al.. Free-space propagation of the spectral degree of cross-polarization of stochastic electromagnetic beams[J]. Pure Appl. Opt., 2009, 11(8): 1-8.

[11] E. Wolf. Unified theory of coherence and polarization of random electromagnetic beams [J]. Phys. Lett. A,2003,312(5-6):263-267

[12] . Virtual sources for a cosh-Gaussian beam[J]. Opt. Lett., 2007, 32(3): 292-294.

[13] O. Korotkova,M. Salem,E. Wolf. The far-zone behavior of the degree of polarization of electromagnetic beams propagating through atmospheric turbulence [J]. Opt. Commun.,2004,233(4-6):225-230

[14] . Gori,M. Santarsiero,G. Piquero et al.. Partically polarized Gaussian Schell-model beams[J]. Pure Appl. Opt., 2001, 3(1): 1-9.

[15] . Turunen,A. T. Friberg. Matrix representation of Gaussian Schell-model beams in optical systems[J]. Opt. Laser Technol., 1986, 18(5): 259-267.

[16] Lü Baida,Ma Hong,Zhang Bin. Propagation properties of cosh-Gaussian beams[J]. Opt. Commun.,1999,164(4-6):165-170

[17] Leonard Mandel,Emil Wolf. Optics Coherence and Quantum Optics [M]. Cambridge:Cambridge University Press,1995

[18] H. Roychowdhury,O. Korotkova. Realizability conditions for electromagnetic Gaussian Schell-model sources[J]. Opt. Commun.,2005,249(4-6):379-385

邢燕, 丁超亮, 吕百达. 随机双曲余弦高斯电磁光束互偏振度通过透镜的传输[J]. 中国激光, 2010, 37(8): 1983. Xing Yan, Ding Chaoliang, Lü Baida. Propagation of the Degrees of Cross-Polarization of Random Cosh-Gaussian Electromagnetic Beams Through a Lens[J]. Chinese Journal of Lasers, 2010, 37(8): 1983.

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!