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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 21, Iss. 6 — Jun. 1, 2004
  • pp: 1009–1017

Analytic inverse radiative transfer equations for atmospheric and hydrologic optics

Norman J. McCormick  »View Author Affiliations

JOSA A, Vol. 21, Issue 6, pp. 1009-1017 (2004)

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Two new sets of analytical equations are derived with which the albedo of single scattering and the coefficients of a Legendre polynomial expansion of the scattering phase function can be determined for a source-free, homogeneous plane-parallel medium uniformly illuminated over the surfaces. The equations, essentially linear in the unknowns, require measurements of the radiance in the interior of the medium, but no iterative forward-problem calculations are needed. Sets of equations for both unpolarized and polarized radiation applications are given, as well as a side-by-side comparison with previously known sets of analytic inversion equations. Applications of the equations are suggested.

© 2004 Optical Society of America

OCIS Codes
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.4450) Atmospheric and oceanic optics : Oceanic optics
(030.5620) Coherence and statistical optics : Radiative transfer
(260.5430) Physical optics : Polarization
(290.3200) Scattering : Inverse scattering
(290.4210) Scattering : Multiple scattering

Norman J. McCormick, "Analytic inverse radiative transfer equations for atmospheric and hydrologic optics," J. Opt. Soc. Am. A 21, 1009-1017 (2004)

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  29. The definition of U in Ref. 17 should have been stated in this way.
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