Preisendorfer R.W. Radiative transfer on discrete spaces

London: Pergamon Press, 1965. — 452 p.This book is intended principally for researchers in the field of radiative transfer theory whose interests frequently transcend the physical and numerical aspects of the interactions of light with matter and whose imaginations dwell on the possibilities of the precise conceptual and logical descriptions of those interactions on a phenomenological level. While it was not intentionally conceived in this manner, it turns out that this work complements in scope and in outlook the definitive books by Chandrasekhar, Kourganoff, and van de Hülst. If there is any one work on radiative transfer theory to which the present book acknowledges a debt, not so much in substance as in spirit, this would be the classical work of Hopf on mathematical problems of radiative equilibrium.Geometrical radiometry.
Radiative transfer theory: continuous formulation.
The interaction principle.
Radiative transfer theory: discrete formulation.
Invariant imbedding relation for discrete spaces.
Radiative transfer on a linear lattice.
Radiative transfer on a cubic lattice.
Plane-source generated light fields in discrete spaces.
Two methods of point-source problems in discrete spaces.
A computer study of radiative transfer on a cubic lattice.
Theory of polarized light fields in discrete spaces.
Markov chains and radiative transfer.
Connections with the mainland.
Radiative transfer theory: axiomatic formulation.
Some mathematical problems of radiative transfer theory.Author index.
Subject index.