The mathematics of radiative transfer
著者
書誌事項
The mathematics of radiative transfer
（Cambridge tracts in mathematics and mathematical physics, 50）
Cambridge University Press, 2008, c1960
- : pbk
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注記
Includes bibliographical references (p. 138-140) and index
"This digitally printed version 2008"--T.p. verso
First published in 1960
内容説明・目次
内容説明
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.
目次
- 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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