A new method of calculating the orbital angular momentum spectra of Laguerre-Gaussian beams in channels with atmospheric turbulence

doi:10.1088/1674-1056/26/11/114207

中国物理B ›› 2017, Vol. 26 ›› Issue (11): 114207-114207.doi: 10.1088/1674-1056/26/11/114207

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

A new method of calculating the orbital angular momentum spectra of Laguerre-Gaussian beams in channels with atmospheric turbulence

Xiao-zhou Cui(崔小舟), Xiao-li Yin(尹霄丽), Huan Chang(常欢), Zhi-chao Zhang(张志超), Yong-jun Wang(王拥军), Guo-hua Wu(吴国华)

1. School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China;
2. Beijing Key Laboratory of Space-Ground Interconnection and Convergence, Beijing University of Posts and Telecommunications, Beijing 100876, China;
3. State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China

收稿日期:2017-05-18 修回日期:2017-07-18 出版日期:2017-11-05 发布日期:2017-11-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61575027 and 61471051).

A new method of calculating the orbital angular momentum spectra of Laguerre-Gaussian beams in channels with atmospheric turbulence

Xiao-zhou Cui(崔小舟)^1,2, Xiao-li Yin(尹霄丽)^1,2,3, Huan Chang(常欢)^1,2, Zhi-chao Zhang(张志超)^1,2, Yong-jun Wang(王拥军)^1,2,3, Guo-hua Wu(吴国华)^1,3

1. School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China;
2. Beijing Key Laboratory of Space-Ground Interconnection and Convergence, Beijing University of Posts and Telecommunications, Beijing 100876, China;
3. State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received:2017-05-18 Revised:2017-07-18 Online:2017-11-05 Published:2017-11-05
Contact: Xiao-li Yin E-mail:yinxl@bupt.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61575027 and 61471051).

摘要/Abstract

摘要： Studying orbital angular momentum (OAM) spectra is important for analyzing crosstalk in free-space optical (FSO) communication systems. This work offers a new method of simplifying the expressions for the OAM spectra of Laguerre-Gaussian (LG) beams under both weak/medium and strong atmospheric turbulences. We propose fixing the radius to the extreme point of the intensity distribution, review the expression for the OAM spectrum under weak/medium turbulence, derive the OAM spectrum expression for an LG beam under strong turbulence, and simplify both of them to concise forms. Then, we investigate the accuracy of the simplified expressions through simulations. We find that the simplified expressions permit accurate calculation of the OAM spectrum for large transmitted OAM numbers under any type of turbulence. Finally, we use the simplified expressions to analytically address the broadening of the OAM spectrum caused by atmospheric turbulence. This work should contribute to the concise theoretical derivation of analytical expressions for OAM channel matrices for FSO-OAM communications and the analytical study of the laws governing OAM spectra.

关键词: orbital angular momentum (OAM) spectrum, atmospheric turbulence, free-space optical (FSO) communications

Abstract: Studying orbital angular momentum (OAM) spectra is important for analyzing crosstalk in free-space optical (FSO) communication systems. This work offers a new method of simplifying the expressions for the OAM spectra of Laguerre-Gaussian (LG) beams under both weak/medium and strong atmospheric turbulences. We propose fixing the radius to the extreme point of the intensity distribution, review the expression for the OAM spectrum under weak/medium turbulence, derive the OAM spectrum expression for an LG beam under strong turbulence, and simplify both of them to concise forms. Then, we investigate the accuracy of the simplified expressions through simulations. We find that the simplified expressions permit accurate calculation of the OAM spectrum for large transmitted OAM numbers under any type of turbulence. Finally, we use the simplified expressions to analytically address the broadening of the OAM spectrum caused by atmospheric turbulence. This work should contribute to the concise theoretical derivation of analytical expressions for OAM channel matrices for FSO-OAM communications and the analytical study of the laws governing OAM spectra.

Key words: orbital angular momentum (OAM) spectrum, atmospheric turbulence, free-space optical (FSO) communications

中图分类号: (Atmospheric turbulence effects)

42.68.Bz

42.68.Ay (Propagation, transmission, attenuation, and radiative transfer) 42.25.Dd (Wave propagation in random media)

崔小舟, 尹霄丽, 常欢, 张志超, 王拥军, 吴国华. A new method of calculating the orbital angular momentum spectra of Laguerre-Gaussian beams in channels with atmospheric turbulence[J]. 中国物理B, 2017, 26(11): 114207-114207.

Xiao-zhou Cui(崔小舟), Xiao-li Yin(尹霄丽), Huan Chang(常欢), Zhi-chao Zhang(张志超), Yong-jun Wang(王拥军), Guo-hua Wu(吴国华). A new method of calculating the orbital angular momentum spectra of Laguerre-Gaussian beams in channels with atmospheric turbulence[J]. Chin. Phys. B, 2017, 26(11): 114207-114207.

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A new method of calculating the orbital angular momentum spectra of Laguerre-Gaussian beams in channels with atmospheric turbulence

A new method of calculating the orbital angular momentum spectra of Laguerre-Gaussian beams in channels with atmospheric turbulence

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