Abstract

Non-line-of-sight UV communication link path loss models have been explored for both coplanar and noncoplanar geometries, and these typically require numerical evaluation. In this Letter, we propose a closed-form and easily applied model to describe link behavior, applicable to noncoplanar geometry. The model is compared with a recently reported analytical model and shows good agreement.

© 2011 Optical Society of America

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References

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

2010 (2)

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

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

2009 (2)

H. Ding, G. Chen, A. 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] [PubMed]

2008 (1)

2006 (1)

1991 (1)

1979 (1)

Arnon, S.

Chen, G.

Ding, H.

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

H. Ding, G. Chen, A. 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] [PubMed]

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

Kedar, D.

Luettgen, M. R.

Majumdar, A.

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

Reilly, D. M.

Sadler, B. M.

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

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

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

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

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

Shapiro, J. H.

Wang, L.

Warde, C.

Xu, Z.

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

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

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

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

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

Appl. Opt. (1)

EURASIP J. Wireless Commun. Networking (1)

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

IEEE J. Sel. Areas Commun. (1)

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

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (1)

Opt. Express (1)

Opt. Lett. (2)

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Figures (3)

Fig. 1
Fig. 1

(a) Transmit beam and receiver FOV intersection changes as the Tx beam deviates from a coplanar geometry. (b) Relationship between ϕ 1 and α.

Fig. 2
Fig. 2

Coordinate system rotation.

Fig. 3
Fig. 3

Comparison of proposed model and model [8].

Equations (17)

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α = arccos ( sin 2 θ 1 + cos 2 θ 1 cos ϕ 1 ) .
r 1 = r 1 cos α .
r 2 = ( A c A n ) 2 + ( R A c ) 2 = ( r 1 sin α ) 2 + r 2 2 ,
r 1 = r sin θ 2 csc ( θ 1 + θ 2 ) , r 2 = r sin θ 1 csc ( θ 1 + θ 2 ) .
a = ( r 2 φ 2 / 2 ) 2 ( r 1 sin α ) 2 ,
L n 4 [ 1 cos ( φ 1 / 2 ) ] ( r 1 r 2 ) 2 k s P ( μ ) a ( r 1 φ 1 ) 2 cos ζ exp { k e ( r 1 + r 2 ) } .
ζ = arccos ( r 2 / r 2 ) .
θ s = arccos { [ r 2 ( r 1 ) 2 ( r 2 ) 2 ] / ( 2 r 1 r 2 ) } .
θ 2 = arccos ( cos θ 2 cos ϕ 2 ) .
γ = arctan ( sin ϕ 2 / tan θ 2 ) .
x = Y sin γ + X cos γ , y = Y cos γ X sin γ , z = Z .
x r 1 sin θ 1 = y r 1 cos θ 1 sin ϕ 1 = z r r 1 cos θ 1 cos ϕ 1 .
Y sin γ + X cos γ tan θ 1 = Y cos γ X sin γ sin ϕ 1 = r Z cos ϕ 1 .
X tan θ 1 = Y sin ϕ 1 = r Z cos ϕ 1 .
θ 1 = arctan [ sin ϕ 1 ( tan θ 1 sin ϕ 1 tan γ ) sin ϕ 1 + tan θ 1 tan γ ] .
tan θ 1 = sin ϕ 1 cos γ tan ϕ 1 cos ϕ 1 sin γ .
ϕ 1 = arctan ( tan ϕ 1 cos γ sin γ tan θ 1 sin ϕ 1 tan γ sin ϕ 1 + tan θ 1 tan γ ) .

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