[1] [1] ZHANG D CH,ZHOU J. Military Communications[M]. 2nd ed. Beijing: National Defense Industry Press,2008.(in Chinese)

[2] [2] LANZAGORTA M. Underwater Communications[M]. California: Morgan & Claypool,2012.

[3] [3] BENNETT C H,BRASSARD G. Quantum cryptography: public key distribution and coin tossing[C]. Proceedings of IEEE International Conference on Computers, Systems and Signal Processing,IEEE,1984: 175-179.

[4] [4] LO H K,CURTY M,QI B. Measurement-device-independent quantum key distribution[J]. Physical Review Letters,2012,108(13): 130503.

[5] [5] KORZH B,LIM C C W,HOULKANN R,et al.. Provably secure and practical quantum key distribution over 307 km of optical fibre[J]. Nature Photonics,2015,9(3): 163-168.

[6] [6] YIN H L,CHEN T Y,YU Z W,et al.. Measurement-device-independent quantum key distribution over a 404 km optical fiber[J]. Physical Review Letters,2016,117(19): 190501.

[7] [7] LIU L,GUO F ZH,WEN Q Y. Practical passive decoy state measurement-device-independent quantum key distribution with unstable sources[J]. Scientific Reports,2017,7(1): 11370.

[8] [8] PENG CH ZH,PAN J W. Quantum science experimental satellite “Micius”[J]. Bulletin of the Chinese Academy of Sciences,2016,31(9): 1096-1104.(in Chinese)

[9] [9] YIN J,CAO Y,LI Y H,et al.. Satellite-to-ground entanglement-based quantum key distribution[J]. Physical Review Letters,2017,119(20): 200501.

[10] [10] LIAO SH K,YONG H L,LIU CH,et al.. Long-distance free-space quantum key distribution in daylight towards inter-satellite communication[J]. Nature Photonics,2017,11(8): 509-513.

[11] [11] LIAO SH K,CAI W Q,LIU W Y,et al.. Satellite-to-ground quantum key distribution[J]. Nature,2017,549(7670): 43-47.

[12] [12] ZHAI P W,KATTAWAR G W,YANG P. Impulse response solution to the three-dimensional vector radiative transfer equation in atmosphere-ocean systems.II.the hybrid matrix operator-Monte Carlo method[J]. Applied Optics,2008,47(8): 1063-1071.

[13] [13] WEI A H. Simulative study of optical pulse propagation properties in atmosphere-seawater hybrid channel[D]. Xi′an: Xi′an Institute of Optics and Precision Mechanics Chinese Academy of Science,2014.(in Chinese)

[14] [14] LI X ZH,MIAO X C,QI X,et al.. Laser atmosphere-seawater channel transmission characteristics under complicated sea conditions[J]. Acta Optica Sinica,2018,38(3): 0301002.(in Chinese)

[15] [15] ZHOU F,YONG H L,LI D D,et al.. Study on quantum key distribution betweem different media[J]. Acta Physica Sinica,2014, 63(14): 140303.(in Chinese)

[16] [16] UHLMANN J,LANZAGORTA M,VENEGAS-ANDRACA S E. Quantum communications in the maritime environment[C]. OCEANS 2015-MTS/IEEE Washington,IEEE,2015.

[17] [17] SHI P,ZHAO SH CH,LI W D,et al.. Feasibility of underwater free space quantum key distribution[J]. arXiv preprint arXiv: arXiv: 1402.4666,2014.

[18] [18] SHI P,ZHAO SH CH,GU Y J,et al.. Channel analysis for single photon underwater free space quantum key distribution[J]. Journal of the Optical Society of America A,2015,32(3): 349-356.

[19] [19] JI L,GAO J,YANG A L,et al.. Towards quantum communications in free-space seawater[J]. Optics Express,2017,25(17): 19795-19806.

[20] [20] WANG L,ZHOU Y Y,ZHOU X J,et al.. Air-water quantum key distribution on irregular sea surface covered with foams[J]. Acta Optica Sinica,2018,38(10): 1027002.(in Chinese)

[21] [21] GJERSTAD K I,STAMNES J J,HAMRE B,et al.. Monte Carlo and discrete-ordinate simulations of irradiances in the coupled atmosphere-ocean system[J]. Applied Optics,2003,42(15): 2609-2622.

[22] [22] WU J. Bubble flux and marine aerosol spectra under various wind velocities[J]. Journal of Geophysical Research: Oceans,1992,97(C2): 2327-2333.

[23] [23] QI X. Propagation characteristics of laser beam traversing the air-sea interface with foams[D]. Xi′an: Xidian University,2015: 46-48.(in Chinese)

[24] [24] HUANG W CH. Study of the character of blue-green laser transmission through sea surface[D]. Xi′an: Xidian University,2012.(in Chinese)

[25] [25] GOOCH J W. Snell′s Law[M]. New York: Springer,2011: 673-675.

[26] [26] LI J ZH. Handbook of Optics[M]. Xi′an: Shanxi Science and Technology Press,2010.(in Chinese)

[27] [27] ZENG ZH Q,FU SH,ZHANG H H,et al., A survey of underwater optical wireless communications[J]. IEEE Communications Surveys & Tutorials,2017,19(1): 204-238.

[28] [28] GAWDI Y J. Underwater free space optics[D]. Raleigh: North Carolina State University,2006.

[29] [29] JOHNSON L J,GREEN R J,LEESON M S. Underwater optical wireless communications: depth dependent variations in attenuation[J]. Applied Optics,2013,52(33): 7867-7873.

[30] [30] ZHAI P W,HU Y S,CHOWDHARY J,et al.. A vector radiative transfer model for coupled atmosphere and ocean systems with a rough interface[J]. Journal of Quantitative Spectroscopy and Radiative Transfer,2010,111(7-8): 1025-1040.

[31] [31] WU Z S,WANG Y P. Electromagnetic scattering for multilayered sphere: recursive algorithms[J]. Radio Science,1991,26(6): 1393-1401.

[32] [32] TSANG L,DING K H,ZHANG G F,et al.. Backscattering enhancement and clustering effects of randomly distributed dielectric cylinders overlying a dielectric half space based on Monte-Carlo simulations[J]. IEEE Transactions on Antennas and Propagation,1995,43(5): 488-499.

[33] [33] KALOS M H,JACQUES S L. Monte Carlo Methods[M]. New Jersey: John Wiley & Sons,2008.

[34] [34] ZHOU Y H,YU Z W,WANG X B. Tightened estimation can improve the key rate of measurement-device-independent quantum key distribution by more than 100%[J]. Physical Review A,2014,89(5): 052325.