Aperture-averaged scintillation index and fade statistics in weak oceanic turbulence

doi:10.1088/1674-1056/abd756

中国物理B ›› 2021, Vol. 30 ›› Issue (6): 64207-064207.doi: 10.1088/1674-1056/abd756

Aperture-averaged scintillation index and fade statistics in weak oceanic turbulence

Hao Wang(王昊)^1,2, Fu-Zeng Kang(康福增)^1,†, Xuan Wang(王瑄)^3,4,‡, Wei Zhao(赵卫)¹, and Shu-Wei Sun(孙枢为)^1,2

1 State Key Laboratory of Transient Optics and Photonics, Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an 710119, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China;
3 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
4 Songshan Lake Materials Laboratory, Dongguan 523808, China

收稿日期:2020-10-14 修回日期:2020-12-10 接受日期:2020-12-30 出版日期:2021-05-18 发布日期:2021-05-18
通讯作者: Fu-Zeng Kang, Xuan Wang E-mail:kangfuzeng@opt.ac.cn;xw@iphy.ac.cn
基金资助:
Project supported by the fund from Xi'an Institute of Optics and Precision Mechanics.

Aperture-averaged scintillation index and fade statistics in weak oceanic turbulence

Hao Wang(王昊)^1,2, Fu-Zeng Kang(康福增)^1,†, Xuan Wang(王瑄)^3,4,‡, Wei Zhao(赵卫)¹, and Shu-Wei Sun(孙枢为)^1,2

1 State Key Laboratory of Transient Optics and Photonics, Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an 710119, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China;
3 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
4 Songshan Lake Materials Laboratory, Dongguan 523808, China

Received:2020-10-14 Revised:2020-12-10 Accepted:2020-12-30 Online:2021-05-18 Published:2021-05-18
Contact: Fu-Zeng Kang, Xuan Wang E-mail:kangfuzeng@opt.ac.cn;xw@iphy.ac.cn
Supported by:
Project supported by the fund from Xi'an Institute of Optics and Precision Mechanics.

摘要/Abstract

摘要： With the rapid demand for underwater optical communication (UOC), studies of UOC degradation by oceanic turbulence have attached increasing attention worldwide and become a research hot-spot in recent years. Previous studies used a simplified and inaccurate oceanic turbulence spectrum, in which the eddy diffusivity ratio between temperature and salinity is assumed to be unity and the outer scale of turbulence is assumed to be infinite. However, both assumptions are not true in most of the actual marine environments. In this paper, based on the Rytov theory in weak turbulence, we derive analytical expressions of "the aperture-averaged scintillation index" (SI) for both plane and spherical waves, which can clearly demonstrate how SI is influenced by several key factors in UOC. Then, typical fade statistics of the UOC system in weak turbulence is discussed including the probability of fade, the expected number of fades per time, the mean fade time, signal-to-noise ratio and bit error rate. Our results show that spherical wave is preferable in the UOC system in weak turbulence compared to plane wave, and the aperture-averaged effect has a significant impact on UOC system's performance. Our results can be used to determine those key parameters for designing the UOC system over reasonable ranges.

关键词: underwater optical communication (UOC), aperture-averaged scintillation index, fade statistics

Abstract: With the rapid demand for underwater optical communication (UOC), studies of UOC degradation by oceanic turbulence have attached increasing attention worldwide and become a research hot-spot in recent years. Previous studies used a simplified and inaccurate oceanic turbulence spectrum, in which the eddy diffusivity ratio between temperature and salinity is assumed to be unity and the outer scale of turbulence is assumed to be infinite. However, both assumptions are not true in most of the actual marine environments. In this paper, based on the Rytov theory in weak turbulence, we derive analytical expressions of "the aperture-averaged scintillation index" (SI) for both plane and spherical waves, which can clearly demonstrate how SI is influenced by several key factors in UOC. Then, typical fade statistics of the UOC system in weak turbulence is discussed including the probability of fade, the expected number of fades per time, the mean fade time, signal-to-noise ratio and bit error rate. Our results show that spherical wave is preferable in the UOC system in weak turbulence compared to plane wave, and the aperture-averaged effect has a significant impact on UOC system's performance. Our results can be used to determine those key parameters for designing the UOC system over reasonable ranges.

Key words: underwater optical communication (UOC), aperture-averaged scintillation index, fade statistics

中图分类号: (Ocean optics)

42.68.Xy

42.68.Ay (Propagation, transmission, attenuation, and radiative transfer) 42.25.Bs (Wave propagation, transmission and absorption)

Hao Wang(王昊), Fu-Zeng Kang(康福增), Xuan Wang(王瑄), Wei Zhao(赵卫), and Shu-Wei Sun(孙枢为). Aperture-averaged scintillation index and fade statistics in weak oceanic turbulence[J]. 中国物理B, 2021, 30(6): 64207-064207.

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Aperture-averaged scintillation index and fade statistics in weak oceanic turbulence

Aperture-averaged scintillation index and fade statistics in weak oceanic turbulence

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