Self-consistent scattering theory for the radiative transport equation
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Updated: Aug 10, 2026

Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
Arnold D Kim1, John C Schotland
1School of Natural Sciences, University of California at Merced, California 95344, USA. adkim@ucmerced.edu
Abstract:
We study light propagation in a random medium governed by the radiative transport equation. We present a theory for the transport equation with an inhomogeneous absorption coefficient. We obtain an analytical expression for the specific intensity in a uniform absorbing and scattering medium containing a point absorber. Using that result we derive a self-consistent system of integral equations to study a collection of point absorbers. We show numerical results that demonstrate the use of this theory.
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