Extension of the doubling method to inhomogeneous sources

Physics – Optics

Scientific paper

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Atmospheric Optics, Atmospheric Radiation, Optical Density, Radiation Sources, Radiative Transfer, Atmospheric Scattering, Planetary Atmospheres, Solar Radiation, Specular Reflection, Thermal Radiation, Vector Analysis

Scientific paper

This paper gives a general theory for applying the doubling method to spatially inhomogeneous radiation sources whose angular and spatial variations separate. In particular, inhomogeneous sources of thermal radiation may be efficiently treated by the methods herein, as well as direct and specularly-reflected beams of radiation which do not lie along a quadrature direction for the intensity. Doubling rules for a linear-in-optical depth source (which may approximate a source of thermal radiation) and for an exponential-in-optical-depth source are derived as special cases.

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