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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 17 — Aug. 26, 2013
  • pp: 19768–19777

Probability theory for 3-layer remote sensing in ideal gas law environment

Avishai Ben-David and Charles E. Davidson  »View Author Affiliations


Optics Express, Vol. 21, Issue 17, pp. 19768-19777 (2013)
http://dx.doi.org/10.1364/OE.21.019768


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Abstract

We extend the probability model for 3-layer radiative transfer [Opt. Express 20, 10004 (2012)] to ideal gas conditions where a correlation exists between transmission and temperature of each of the 3 layers. The effect on the probability density function for the at-sensor radiances is surprisingly small, and thus the added complexity of addressing the correlation can be avoided. The small overall effect is due to (a) small perturbations by the correlation on variance population parameters and (b) cancelation of perturbation terms that appear with opposite signs in the model moment expressions.

© 2013 OSA

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(010.1320) Atmospheric and oceanic optics : Atmospheric transmittance
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(030.5620) Coherence and statistical optics : Radiative transfer
(300.6340) Spectroscopy : Spectroscopy, infrared
(280.4991) Remote sensing and sensors : Passive remote sensing
(290.6815) Scattering : Thermal emission

ToC Category:
Remote Sensing

History
Original Manuscript: May 10, 2013
Revised Manuscript: July 8, 2013
Manuscript Accepted: July 9, 2013
Published: August 15, 2013

Citation
Avishai Ben-David and Charles E. Davidson, "Probability theory for 3-layer remote sensing in ideal gas law environment," Opt. Express 21, 19768-19777 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-17-19768


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References

  1. A. Ben-David and C. E. Davidson, “Probability theory for 3-layer remote sensing radiative transfer model: univariate case,” Opt. Express20(9), 10004–10033 (2012), doi:. [CrossRef] [PubMed]
  2. A. Ben-David and C. E. Davidson, “Probability theory for 3-layer remote sensing radiative transfer model: errata,” Opt. Express21(10), 11852 (2013), doi:. [CrossRef] [PubMed]
  3. M. L. Salby, Fundamentals of Atmospheric Physics (Academic, 1996).
  4. L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon, 1969).
  5. National Institute of Standards and Technology, (2010). “NIST Digital Library of Mathematical Functions”. Section 26.4.9. http://dlmf.nist.gov/26.4#ii
  6. MODerate resolution atmospheric TRANsmission (MODTRAN), atmospheric radiative transfer model software. http://modtran5.com
  7. A. Stuart and K. Ord, Kendall’s Advanced Theory of Statistics, Volume I (Hodder Arnold, 1994).

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