August 7, 2002
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Publications in Mathematics on Information Transfer and Light
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Huygens, Christiaan:
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Grant, I.P. et al.:
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Discrete Space Theory of Radiative Transfer: I.
Fundamentals, 1969.
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Discrete Space Theory of Radiative Transfer: II.
Stability and Non-Negativity, 1969.
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Lovejoy, A. et al.:
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Discrete Angle Radiative Transfer. Part I: Scaling and
Similarity, Universality and Diffusion, 1990.
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Discrete Angle Radiative Transfer. Part II: Renormalization Approach
for Homogeneous and Fractal Clouds, 1990.
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Discrete Angle Radiative Transfer. Part III: Numerical Results
and Meteorological Applications, 1990.
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Plass, G.N. et al.:
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Matrix Operator Theory of Radiative Transfer. 1: Rayleigh
Scattering, 1973.
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Preisendorfer, R.W, and Stevens, G.L. :
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Radiative Transfer on Discrete Spaces, 1965.
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Multimode Radiative Transfer in Finite Optical Media. I:
Fundamentals, 1984.
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Multimode Radiative Transfer in Finite Optical Media. II:
Solutions, 1988.
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Radiative Transfer through Arbitrarily Shaped Optical Media. Part
I: A General Method of Solution, 1988.
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Radiative Transfer through Arbitrarily Shaped Optical Media. Part
II: Group Theory and Simple Closures, 1988.
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Ren, H. et al.:
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Lattice Random Walk of Photon Migration in Turbid Media,
1998.
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Scattering Matrix Modeling of Photon Migration in Turbid
Media, 1999.
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Sen, K.K. et al. :
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Radiative Transfer in Curved Media, 1990.
BibTeX references.
Treatise on Light
Huygens, Christiaan, 1629-1695
New York, Dover Publications [1962], 128 pages.
"Treatise on light, in which are explained the causes of that
which occurs in reflexion & in refraction, and particularly in the
strange refraction of Iceland crystal. Rendered into English (from
French) by Silvanus P. Thompson."
Completed in French in 1678; first published in 1690.
Radiative Transfer on Discrete Spaces
Rudolph W. Preisendorfer
Pergamon Press, 1965
Radiative Transfer in Curved Media
Basic Mathematical Methods for Radiative Transfer and Transport
Problems in Participating Media of Spherical and Cylindrical Geometry
K K Sen & S J Wilson ,
World Scientific, Singapore,
1990.
ToC
Mathematical Preliminaries
Spherical Harmonic and Discrete Ordinate Methods
Moment Method
Ambarzumian's Physical Method: Principle of Invariance
Solution of Integral Equation of Transfer in Curved Geometry
Numerical Methods for Transfer Problems in Spherical Geometry
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2001-2.
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