Abstract

Lasers used in free-space optics propagate a beam within a truncated cone. Because of this shape, the intensity cannot follow the Beer-Lambert law. In the case of a homogeneous atmosphere, we calculate the gap from the cylinder case. We will see that the gap exists but is generally very weak and, therefore, that the use of the Beer-Lambert law is a justified approximation.

© 2009 Optical Society of America

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    [CrossRef]
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  4. V. Kvicera, M. Grabner, and O. Fiser, “Visibility and attenuation due to hydrometeors at 850 nm on a 850 m path,” in 6th International Symposium on Communication Systems, Networks and Digital Signal Processing (IEEE, 2008), pp. 270-272.
  5. S. S. Muhammad, P. Köhldorfer, E. Leitgeb, “Channel modeling for terrestrial free space optical links,” in Proceedings of the 2005 7th International Conference on Transparent Optical Networks (IEEE, 2005), pp. 407-410.
  6. S. Bloom, E. Korevaar, J. Schuster, and H. Willebrand, “Understanding the performance of free-space optics,” J. Opt. Netw. 2, 178-200 (2003).
  7. A. J. Cox, A. J. DeWeerd, and J. Linden, “An experiment to measure Mie and Rayleigh total scattering cross sections,” Am. J. Phys. 70, 620-624 (2002).
    [CrossRef]
  8. H. Abitan, H. Bohr, and P. Buchhave, “Correction to the Beer-Lambert-Bouguer law for the optical absorption,” Appl. Opt. 47, 5354-5357 (2008).
    [CrossRef]
  9. M. Musculus and L. Pickett, “Diagnostic considerations for optical laser-extinction measurements of soot in high-pressure transient combustion environments,” Combust. Flame 141, 371-391 (2005).
    [CrossRef]
  10. B. Lacaze and M. Chabert, “Power spectra for laser-extinction measurements,” Opt. Express 14, 6011-6019 (2006).
    [CrossRef]
  11. H. Jiang, M. Sano, and M. Sekine, “Weibull raindrop-size distribution and its application to rain attenuation,” IEE Proc. Microwaves Antennas Propag. 144 (3), 197-200 (1997).
    [CrossRef]

2008 (2)

2006 (1)

2005 (1)

M. Musculus and L. Pickett, “Diagnostic considerations for optical laser-extinction measurements of soot in high-pressure transient combustion environments,” Combust. Flame 141, 371-391 (2005).
[CrossRef]

2003 (1)

2002 (1)

A. J. Cox, A. J. DeWeerd, and J. Linden, “An experiment to measure Mie and Rayleigh total scattering cross sections,” Am. J. Phys. 70, 620-624 (2002).
[CrossRef]

1997 (1)

H. Jiang, M. Sano, and M. Sekine, “Weibull raindrop-size distribution and its application to rain attenuation,” IEE Proc. Microwaves Antennas Propag. 144 (3), 197-200 (1997).
[CrossRef]

Abitan, H.

Akiba, M.

Araki, N.

N. Araki and H. Yashima, “A channel model of optical wireless communications during rainfall,” in 2nd International Symposium on Wireless Communication Systems (IEEE, 2005), pp. 205-209.

Bloom, S.

Bohr, H.

Bregenzer, J.

M. Gebhart, E. Leitgeb, and J. Bregenzer, “Atmospheric effects on optical wireless links,” in 7th International Conference on Telecommunications--ConTEL (IEEE, 2003), pp. 395-401.

Buchhave, P.

Chabert, M.

Cox, A. J.

A. J. Cox, A. J. DeWeerd, and J. Linden, “An experiment to measure Mie and Rayleigh total scattering cross sections,” Am. J. Phys. 70, 620-624 (2002).
[CrossRef]

DeWeerd, A. J.

A. J. Cox, A. J. DeWeerd, and J. Linden, “An experiment to measure Mie and Rayleigh total scattering cross sections,” Am. J. Phys. 70, 620-624 (2002).
[CrossRef]

Fiser, O.

V. Kvicera, M. Grabner, and O. Fiser, “Visibility and attenuation due to hydrometeors at 850 nm on a 850 m path,” in 6th International Symposium on Communication Systems, Networks and Digital Signal Processing (IEEE, 2008), pp. 270-272.

Gebhart, M.

M. Gebhart, E. Leitgeb, and J. Bregenzer, “Atmospheric effects on optical wireless links,” in 7th International Conference on Telecommunications--ConTEL (IEEE, 2003), pp. 395-401.

Grabner, M.

V. Kvicera, M. Grabner, and O. Fiser, “Visibility and attenuation due to hydrometeors at 850 nm on a 850 m path,” in 6th International Symposium on Communication Systems, Networks and Digital Signal Processing (IEEE, 2008), pp. 270-272.

Ito, S.

Jiang, H.

H. Jiang, M. Sano, and M. Sekine, “Weibull raindrop-size distribution and its application to rain attenuation,” IEE Proc. Microwaves Antennas Propag. 144 (3), 197-200 (1997).
[CrossRef]

Kodate, K.

Köhldorfer, P.

S. S. Muhammad, P. Köhldorfer, E. Leitgeb, “Channel modeling for terrestrial free space optical links,” in Proceedings of the 2005 7th International Conference on Transparent Optical Networks (IEEE, 2005), pp. 407-410.

Korevaar, E.

Kvicera, V.

V. Kvicera, M. Grabner, and O. Fiser, “Visibility and attenuation due to hydrometeors at 850 nm on a 850 m path,” in 6th International Symposium on Communication Systems, Networks and Digital Signal Processing (IEEE, 2008), pp. 270-272.

Lacaze, B.

Leitgeb, E.

M. Gebhart, E. Leitgeb, and J. Bregenzer, “Atmospheric effects on optical wireless links,” in 7th International Conference on Telecommunications--ConTEL (IEEE, 2003), pp. 395-401.

S. S. Muhammad, P. Köhldorfer, E. Leitgeb, “Channel modeling for terrestrial free space optical links,” in Proceedings of the 2005 7th International Conference on Transparent Optical Networks (IEEE, 2005), pp. 407-410.

Linden, J.

A. J. Cox, A. J. DeWeerd, and J. Linden, “An experiment to measure Mie and Rayleigh total scattering cross sections,” Am. J. Phys. 70, 620-624 (2002).
[CrossRef]

Muhammad, S. S.

S. S. Muhammad, P. Köhldorfer, E. Leitgeb, “Channel modeling for terrestrial free space optical links,” in Proceedings of the 2005 7th International Conference on Transparent Optical Networks (IEEE, 2005), pp. 407-410.

Musculus, M.

M. Musculus and L. Pickett, “Diagnostic considerations for optical laser-extinction measurements of soot in high-pressure transient combustion environments,” Combust. Flame 141, 371-391 (2005).
[CrossRef]

Ogawa, K.

Pickett, L.

M. Musculus and L. Pickett, “Diagnostic considerations for optical laser-extinction measurements of soot in high-pressure transient combustion environments,” Combust. Flame 141, 371-391 (2005).
[CrossRef]

Sano, M.

H. Jiang, M. Sano, and M. Sekine, “Weibull raindrop-size distribution and its application to rain attenuation,” IEE Proc. Microwaves Antennas Propag. 144 (3), 197-200 (1997).
[CrossRef]

Schuster, J.

Sekine, M.

H. Jiang, M. Sano, and M. Sekine, “Weibull raindrop-size distribution and its application to rain attenuation,” IEE Proc. Microwaves Antennas Propag. 144 (3), 197-200 (1997).
[CrossRef]

Wakamori, K.

Willebrand, H.

Yashima, H.

N. Araki and H. Yashima, “A channel model of optical wireless communications during rainfall,” in 2nd International Symposium on Wireless Communication Systems (IEEE, 2005), pp. 205-209.

Am. J. Phys. (1)

A. J. Cox, A. J. DeWeerd, and J. Linden, “An experiment to measure Mie and Rayleigh total scattering cross sections,” Am. J. Phys. 70, 620-624 (2002).
[CrossRef]

Appl. Opt. (2)

Combust. Flame (1)

M. Musculus and L. Pickett, “Diagnostic considerations for optical laser-extinction measurements of soot in high-pressure transient combustion environments,” Combust. Flame 141, 371-391 (2005).
[CrossRef]

IEE Proc. Microwaves Antennas Propag. (1)

H. Jiang, M. Sano, and M. Sekine, “Weibull raindrop-size distribution and its application to rain attenuation,” IEE Proc. Microwaves Antennas Propag. 144 (3), 197-200 (1997).
[CrossRef]

J. Opt. Netw. (1)

Opt. Express (1)

Other (4)

N. Araki and H. Yashima, “A channel model of optical wireless communications during rainfall,” in 2nd International Symposium on Wireless Communication Systems (IEEE, 2005), pp. 205-209.

M. Gebhart, E. Leitgeb, and J. Bregenzer, “Atmospheric effects on optical wireless links,” in 7th International Conference on Telecommunications--ConTEL (IEEE, 2003), pp. 395-401.

V. Kvicera, M. Grabner, and O. Fiser, “Visibility and attenuation due to hydrometeors at 850 nm on a 850 m path,” in 6th International Symposium on Communication Systems, Networks and Digital Signal Processing (IEEE, 2008), pp. 270-272.

S. S. Muhammad, P. Köhldorfer, E. Leitgeb, “Channel modeling for terrestrial free space optical links,” in Proceedings of the 2005 7th International Conference on Transparent Optical Networks (IEEE, 2005), pp. 407-410.

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