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

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.

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

Received: 18 May 2017
Revised: 18 July 2017
Accepted manuscript online:

PACS:	42.68.Bz	(Atmospheric turbulence effects)
	42.68.Ay	(Propagation, transmission, attenuation, and radiative transfer)
	42.25.Dd	(Wave propagation in random media)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61575027 and 61471051).

Corresponding Authors: Xiao-li Yin
E-mail: yinxl@bupt.edu.cn

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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 2017 Chin. Phys. B 26 114207

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

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