The Mathematics of Radiative Transfer

The Mathematics of Radiative Transfer

by I. W. Busbridge
ISBN-10:
0521090660
ISBN-13:
9780521090667
Pub. Date:
11/27/2008
Publisher:
Cambridge University Press
ISBN-10:
0521090660
ISBN-13:
9780521090667
Pub. Date:
11/27/2008
Publisher:
Cambridge University Press
The Mathematics of Radiative Transfer

The Mathematics of Radiative Transfer

by I. W. Busbridge

Paperback

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Overview

This tract gives a simple but rigorous treatment of some of the mathematical problems that arise in the theory of the transfer of radiation through the atmosphere of a star. Similar problems occur in the theory of the diffusion of neutrons and in the study of temperature-wave flow in solids; so the solutions found in one theory can often be applied in the others. Dr Busbridge's starting-point is the equation of transfer. The first section provides the auxiliary mathematics, and the second discusses the Milne equations. Some unsolved and incompletely solved problems are considered in an appendix. The language and notation of astrophysics is used throughout, for brevity and simplicity, but translation into other notations is usually fairly easy. Over the years the subject had grown considerably, and several outstanding problems have been solved, though the total amount of rigorous work is small. This tract will help to clear up confusions which exist and will provide an introduction to some of the more powerful mathematical techniques available.

Product Details

ISBN-13: 9780521090667
Publisher: Cambridge University Press
Publication date: 11/27/2008
Pages: 156
Product dimensions: 5.50(w) x 8.50(h) x 0.60(d)

Table of Contents

Part I. Auxiliary Mathematics: 1. The Equation of Transfer; 2. The H- Functions; 3. Integral Operators; Part II. Milne Equations: 4. Iterative Solutions; 5. The Wiener-Hopf Solution; 6. Solutions of the Non-Homogeneous Equation; 7. Finite Atmospheres: Preliminary Results; 8. The X- and Y-Functions; 9. Finite Atmospheres: Further Results; 10. Anisothropic Scattering.
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