Abstract

Non-line-of-sight ultraviolet propagation models have been developed for both coplanar and noncoplanar geometries. Based on an exact integral-form single-scatter model, this Letter proposes an approximate closed-form model for tractable analysis applicable to noncoplanar geometries with a narrow transmitter beam or receiver field of view. Numerical results on path loss are presented for various system geometries. These results are verified with the integral-form model and a previous approximate model, showing our model agrees well with the former and outperforms the latter.

© 2013 Optical Society of America

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References

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2011 (4)

2010 (3)

2009 (2)

G. Chen, Z. Xu, H. Ding, and B. M. Sadler, Opt. Express 17, 3929 (2009).
[CrossRef]

H. Ding, G. Chen, A. K. Majumdar, B. M. Sadler, and Z. Xu, IEEE J. Sel. Areas Commun. 27, 1535 (2009).
[CrossRef]

2008 (1)

1991 (1)

1979 (1)

Chang, S.

Chen, G.

Ding, H.

H. Ding, Z. Xu, and B. M. Sadler, EURASIP J. Wireless Commun. Netw. 2010, 598572 (2010).
[CrossRef]

H. Ding, G. Chen, A. K. Majumdar, B. M. Sadler, and Z. Xu, IEEE J. Sel. Areas Commun. 27, 1535 (2009).
[CrossRef]

G. Chen, Z. Xu, H. Ding, and B. M. Sadler, Opt. Express 17, 3929 (2009).
[CrossRef]

Z. Xu, H. Ding, B. M. Sadler, and G. Chen, Opt. Lett. 33, 1860 (2008).
[CrossRef]

Drost, R. J.

Elshimy, M. A.

Guo, H.

Hranilovic, S.

Li, Y.

Y. Zuo, H. Xiao, J. Wu, Y. Li, and J. Lin, Opt. Express 20, 10359 (2012).
[CrossRef]

L. Wang, Y. Li, Z. Xu, and B. M. Sadler, in IEEE Globecom 2010 Workshop on Optical Wireless Communications (Miami, 2010), p. 1037.

Lin, J.

Luettgen, M. R.

Majumdar, A. K.

H. Ding, G. Chen, A. K. Majumdar, B. M. Sadler, and Z. Xu, IEEE J. Sel. Areas Commun. 27, 1535 (2009).
[CrossRef]

Moore, T. J.

Reilly, D. M.

Sadler, B. M.

L. Wang, Z. Xu, and B. M. Sadler, Opt. Lett. 36, 1224 (2011).
[CrossRef]

R. J. Drost, T. J. Moore, and B. M. Sadler, J. Opt. Soc. Am. A 28, 686 (2011).
[CrossRef]

L. Wang, Z. Xu, and B. M. Sadler, Opt. Lett. 35, 1263 (2010).
[CrossRef]

H. Ding, Z. Xu, and B. M. Sadler, EURASIP J. Wireless Commun. Netw. 2010, 598572 (2010).
[CrossRef]

H. Ding, G. Chen, A. K. Majumdar, B. M. Sadler, and Z. Xu, IEEE J. Sel. Areas Commun. 27, 1535 (2009).
[CrossRef]

G. Chen, Z. Xu, H. Ding, and B. M. Sadler, Opt. Express 17, 3929 (2009).
[CrossRef]

Z. Xu, H. Ding, B. M. Sadler, and G. Chen, Opt. Lett. 33, 1860 (2008).
[CrossRef]

L. Wang, Y. Li, Z. Xu, and B. M. Sadler, in IEEE Globecom 2010 Workshop on Optical Wireless Communications (Miami, 2010), p. 1037.

Shapiro, J. H.

Tan, J.

Wang, L.

L. Wang, Z. Xu, and B. M. Sadler, Opt. Lett. 36, 1224 (2011).
[CrossRef]

L. Wang, Z. Xu, and B. M. Sadler, Opt. Lett. 35, 1263 (2010).
[CrossRef]

L. Wang, Y. Li, Z. Xu, and B. M. Sadler, in IEEE Globecom 2010 Workshop on Optical Wireless Communications (Miami, 2010), p. 1037.

Wang, X.

Warde, C.

Wu, J.

Xiao, H.

Xu, Z.

L. Wang, Z. Xu, and B. M. Sadler, Opt. Lett. 36, 1224 (2011).
[CrossRef]

L. Wang, Z. Xu, and B. M. Sadler, Opt. Lett. 35, 1263 (2010).
[CrossRef]

H. Ding, Z. Xu, and B. M. Sadler, EURASIP J. Wireless Commun. Netw. 2010, 598572 (2010).
[CrossRef]

H. Ding, G. Chen, A. K. Majumdar, B. M. Sadler, and Z. Xu, IEEE J. Sel. Areas Commun. 27, 1535 (2009).
[CrossRef]

G. Chen, Z. Xu, H. Ding, and B. M. Sadler, Opt. Express 17, 3929 (2009).
[CrossRef]

Z. Xu, H. Ding, B. M. Sadler, and G. Chen, Opt. Lett. 33, 1860 (2008).
[CrossRef]

L. Wang, Y. Li, Z. Xu, and B. M. Sadler, in IEEE Globecom 2010 Workshop on Optical Wireless Communications (Miami, 2010), p. 1037.

Yang, J.

Yin, H.

Zuo, Y.

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Figures (3)

Fig. 1.
Fig. 1.

NLOS UV propagation for a narrow Tx beam.

Fig. 2.
Fig. 2.

NLOS UV propagation for a narrow Rx FOV.

Fig. 3.
Fig. 3.

Comparison of the proposed model (ZXW) and the models of [9] (WXS) and [6] (INT).

Equations (15)

Equations on this page are rendered with MathJax. Learn more.

Er=VEtArksP(cosθs)cosζ4πΩtr2r2eke(r+r)δV,
Er=EtArksαt24ΩtrArBP(cosθs)cosζr2eke(r+r)δr,
r¯=rArBe2kerrδrrArBe2kerδr=rAe2kerArBe2kerBe2kerAe2kerB+12ke.
ar2+br+c=0,
a=cos2αr[sinθrsinθtcosθrcosθtcos(ϕt+ϕr)]2,
b=2dcosθt[cos2θrcosϕrcos(ϕt+ϕr)cos2αrcosϕt]dcosϕrsin(2θr)sinθt,
c=d2(cos2αrcos2ϕrcos2θr).
{r>0r[cosθrcosθtcos(ϕt+ϕr)sinθrsinθr]dcosθrcosϕr.
[rA,rB]={[r0,+),r0>0[r2,+),r1<0andr2>0[r1,r2],r1>0,otherwise;
[rA,rB]={[0,r0]r0>0[0,r1],r1>0[0,r2],r10andr2>0[0,+),otherwise;
[rA,rB]={[r2,+),r10,otherwise.
r=d2+r¯22dr¯cosθtcosϕt,
cosθs=(dcosθtcosϕtr¯)/r,
cosζ=r¯[sinθrsinθtcosθrcosθtcos(ϕt+ϕr)]/r+(dcosθrcosϕr)/r.
Er=EtArksαt2P(cosθs)cosζ4Ωtr2ekerrArBekerδr=EtArksαt2P(cosθs)cosζ4Ωtker2eker(ekerAekerB).

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