Skip to main content
SpringerLink
Log in

Applicability of non-line-of-sight ultraviolet single-scatter approximation model

  • Published:
Photonic Network Communications Aims and scope Submit manuscript

Abstract

The non-line-of-sight ultraviolet single-scatter approximation model is often used to study the channel characteristics and system performance due to its simplification and convenience of giving insight into the link. However, the applicability of the approximate model is easily neglected. In order to specify the application limitations, the applicable conditions and scenes of three approximate models for transceiver optical geometries in coplanar geometries are further investigated based on the classical analytical model. The results indicate that the approximate errors of 0–6 dB induced by optical geometries, especially for the transceiver apex angles which have more influences than the transceiver beam angles, cannot be ignored. In addition, the approximate models are applicable for optical geometries \({<}20\,^{\circ }\). Under this limiting condition, the approximate model of cut and complement matches better with the analytical model in comparison with the approximate models of cuboid and frustum.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Reilly, D.M.: Atmospheric optical communications in the middle ultraviolet. M.S. Thesis, MIT, Cambridge (1976)

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

    Article  Google Scholar 

  3. 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 

  4. 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 

  5. 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 

  6. 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 

  7. 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 

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

  9. Xu, Z.: Approximate performance analysis of wireless ultraviolet links. IEEE international conference on acoustics, speech and signal processing (ICASSP), 3, pp. III577–III580 (2007)

  10. 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 

  11. Fan, J., Ding, Y., Jiang, H.: Study of atmospheric scatter short model for uv communication. Infrared Laser Eng. 41, 1028–1033 (2012)

    Google Scholar 

  12. 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 

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

    Google Scholar 

  14. 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 

  15. 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 

  16. 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 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  19. 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 

  20. Gagliardi, R.M., Karp, S.: Optical Communication. Wiley, New York (1995)

    Google Scholar 

Download references

Acknowledgments

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.

Author information

Authors and Affiliations

  1. Department of Electronic and Information Engineering, Naval Aeronautical and Astronautical Engineering University, No.188 of Er’ma Road, Zhifu District, Yantai, 264001, Shandong, China

    Bifeng Li, Hongxing Wang, Min Liu, Hao Hu & Zhongyang Mao

Authors
  1. Bifeng Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hongxing Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Min Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Hao Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Zhongyang Mao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Bifeng Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, B., Wang, H., Liu, M. et al. Applicability of non-line-of-sight ultraviolet single-scatter approximation model. Photon Netw Commun 31, 147–154 (2016). https://doi.org/10.1007/s11107-015-0559-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11107-015-0559-2

Keywords

Search

Navigation