Inverse square law for the starter intensity of the discrete ordinates method in spherical geometry

2002/07/13 by Charles H. Aboughantous, Aboughantous, Charles H.
Mathematics · Physics and Astronomy · #Astrophysics (astro-ph) #Atmospheric and Oceanic Physics (physics.ao-ph) #FOS: Physical sciences #Mathematical Physics (math-ph) #astro-ph #math-ph #math.MP #physics.ao-ph

paper · pdf · doi:10.48550/arxiv.astro-ph/0207291

3 pages, arXiv number in reference list changed

arxiv created 2002/07/30 · arxiv updated 2009/11/30

Abstract

The angular derivative of the standard form of the transfer equation is shown to have a non-zero value for the radiation normal incidence. This is demonstrated by a rigorous proof. The transfer equation for the starter intensity turned out to be Euler first order equation its solution obeys the inverse square law.

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