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Non-line-of-sight ultraviolet single-scatter path loss model

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Abstract

A novel non-line-of-sight ultraviolet single-scatter path loss model for coplanar geometries is proposed on the basis of spherical coordinate system. In comparison with the classical single-scatter analytical model based on the prolate-spheroidal coordinate system, it is of a simple integral form which only depends on the variables of the zenith and receiver elevation angles. Additionally, analytical approximation for the proposed single-scatter path loss model is presented. Numerical examples on path loss are presented for various system geometries. Correspondingly, the results are verified with the classical single-scatter analytical model, which demonstrates the validity of our path loss model and the reasonability of the analytical approximation.

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References

  1. Reilly, D.M., Warde, C.: Temporal characteristics of single scatter radiation. J. Opt. Soc. Am. 69, 464–470 (1979)

    Article  Google Scholar 

  2. Leuttgen, M.R., Shapiro, J.H., Reilly, D.M.: Non-line-of-sight single-scatter propagation model. J. Opt. Soc. Am. A 8, 1964–1972 (1991)

    Article  Google Scholar 

  3. Elshimy, M.A., Hranilovic, S.: Non-line-of-sight single-scatter propagation model for noncoplanar geometries. J. Opt. Soc. Am. A 28, 420–428 (2011)

    Article  Google Scholar 

  4. Yin, H., Chang, S., Wang, X., Yang, J., Yang, J., Tan, J.: Analytical model of non-line-of-sight single-scatter propagation. J. Opt. Soc. Am. A 27, 1505–1509 (2010)

    Article  Google Scholar 

  5. Sunstein, D.E.: A scatter communications link at ultraviolet frequencies. B.S. Thesis, MIT, Cambridge, MA (1968)

  6. Xu, Z.: Approximate performance analysis of wireless ultraviolet links. In: IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 3, pp. III577–III580 (2007)

  7. Xu, Z., Ding, H., Sadler, B.M., Chen, G.: Analytical performance study of solar blind non-line-of-sight ultraviolet short-range communication links. Opt. Lett. 33, 1860–1862 (2008)

    Article  Google Scholar 

  8. Ke, X.: Theory of Ultraviolet Self-organizing Network. Science Press, Beijing (2011)

    Google Scholar 

  9. Gupta, A., Noshad, M., Brandt-Pearce, M.: NLOS UV channel modeling using numerical integration and an approximate closed-form path loss model. Proc. SPIE 8517, 851709 (2012)

    Article  Google Scholar 

  10. Wang, L., Xu, Z., Sadler, B.M.: Non-line-of-sight ultraviolet link loss in noncoplanar geometry. Opt. Lett. 35, 1263–1265 (2010)

    Article  Google Scholar 

  11. Xiao, H., Zuo, Y., Wu, J., Guo, H., Lin, J.: Non-line-of-sight ultraviolet single-scatter propagation model. Opt. Express 19, 17864–17875 (2011)

    Article  Google Scholar 

  12. Zuo, Y., Xiao, H., Wu, J., Li, Y., Lin, J.: A single-scatter path loss model for non-line-of-sight ultraviolet channels. Opt. Express 20, 10359–10369 (2012)

    Article  Google Scholar 

  13. Wang, L., Xu, Z., Sadler, B.M.: An approximate closed-form link loss model for non-line-of-sight ultraviolet communication in noncoplanar geometry. Opt. Lett. 36, 1224–1226 (2011)

    Article  Google Scholar 

  14. Zuo, Y., Xiao, H., Wu, J., Li, W., Lin, J.: Closed-form path loss model of non-line-of-sight ultraviolet single-scatter propagation. Opt. Lett. 38, 2116–2118 (2013)

    Article  Google Scholar 

  15. Ding, H., Chen, G., Majumdar, A.K., Sadler, B.M., Xu, Z.: Modeling of non-line-of-sight ultraviolet scattering channels for communication. IEEE J. Sel. Area. Comm. 27, 1535–1544 (2009)

    Article  Google Scholar 

  16. Yin, H., Chang, S., Jia, H., Yang, J., Yang, J.: Non-line-of-sight multiscatter propagation model. J. Opt. Soc. Am. A 26, 2466–2469 (2009)

    Article  Google Scholar 

  17. Ding, H., Xu, Z., Sadler, B.M.: A path loss model for non-line-of-sight ultraviolet multiple scattering channels. EURASIP J. Wirel. Comm. 2010, 598572 (2010)

    Article  Google Scholar 

  18. Drost, R.J., Moore, T.J., Sadler, B.M.: UV communications channel modeling incorporating multiple scattering interactions. J. Opt. Soc. Am. A 28, 686–695 (2011)

    Article  Google Scholar 

  19. Yin, H., Jia, H., Zhang, H., Wang, X., Chang, S., Yang, J.: Vectorized polarization-sensitive model of non-line-of-sight multiple-scatter propagation. J. Opt. Soc. Am. A 28, 2082–2085 (2011)

    Article  Google Scholar 

  20. Yuan, R., Ma, J., Su, P., He, Z.: An integral model of two-order and three-order scattering for non-line-of-sight ultraviolet communication in a narrow beam case. IEEE Commun. Lett. 20, 2366–2369 (2016)

    Article  Google Scholar 

  21. Chen, G., Xu, Z., Ding, H., Sadler, B.M.: Path loss modeling and performance trade-off study for short-range non-line-of-sight ultraviolet communications. Opt. Express 17, 3929–3940 (2009)

    Article  Google Scholar 

  22. Wang, L., Li, Y., Xu, Z., Sadler, B.M.: Wireless ultraviolet network models and performance in noncoplanar geometry. In: IEEE Globecom 2010 Workshop on Optical Wireless Communications, pp. 1037–1041 (2010)

  23. Li, Y., Ning, J., Xu, Z., Krishnamurthy, S.V., Chen G.: UVOC-MAC: a MAC protocol for outdoor ultraviolet networks. In: 18th IEEE International Conference on Network Protocols, pp. 72–81 (2010)

  24. Li, Y., Wang, L., Xu, Z., Krishnamurthy, S.V.: Neighbor discovery for ultraviolet ad hoc networks. IEEE J. Sel. Area. Comm. 29, 2002–2011 (2011)

    Article  Google Scholar 

  25. Zachor, A.S.: Aureole radiance field about a source in a scattering-absorbing medium. Appl. Opt. 17, 1911–1922 (1978)

    Article  Google Scholar 

  26. Bucholtz, A.: Rayleigh-scattering calculations for the terrestrial atmosphere. Appl. Opt. 34, 2765–2773 (1995)

    Article  Google Scholar 

  27. Shaw, G.A., Nischan, M.L., Iyengar, M.A., Kaushik, S., Griffin, M.K.: NLOS UV communication for distributed sensor systems. Proc. SPIE 4126, 83–96 (2000)

    Article  Google Scholar 

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Acknowledgements

This work was supported by the Innovation Fund of Naval Aeronautical and Astronautical Engineering University and by the Special Foundation Project of Taishan Scholar of Shandong Province, China. Thanks to Houfei Xiao, who is expert at ultraviolet propagation in the atmospheric channel and works in the China Ship Development and Design Center, Wuhan, Hubei, China, for the exchange of ideas and technical supports.

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Correspondence to Wenjun Hou.

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Hou, W., Liu, C., Lu, F. et al. Non-line-of-sight ultraviolet single-scatter path loss model. Photon Netw Commun 35, 251–257 (2018). https://doi.org/10.1007/s11107-017-0737-5

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  • DOI: https://doi.org/10.1007/s11107-017-0737-5

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