## Analytic inverse radiative transfer equations for atmospheric and hydrologic optics

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

http://dx.doi.org/10.1364/JOSAA.21.001009

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### Abstract

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

**History**

Original Manuscript: September 1, 2003

Revised Manuscript: December 11, 2003

Manuscript Accepted: December 11, 2003

Published: June 1, 2004

**Citation**

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

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-6-1009

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