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The Mathematics Of Radiative Transfer


The Mathematics Of Radiative Transfer
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The Mathematics Of Radiative Transfer


The Mathematics Of Radiative Transfer
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Author : I. W. Busbridge
language : en
Publisher:
Release Date : 1960

The Mathematics Of Radiative Transfer written by I. W. Busbridge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Calculus, Operational categories.




Radiative Transfer In Curved Media


Radiative Transfer In Curved Media
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Author : K. K. Sen
language : en
Publisher: World Scientific
Release Date : 1990

Radiative Transfer In Curved Media written by K. K. Sen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.


Most of the methods described in this book can be used with cosmetic modifications to solve transfer problems of greater complexity. All attempts have been made to make the book self-contained.



The Mathematics Of Radiative Transfer


The Mathematics Of Radiative Transfer
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Author : John Desmond Peter
language : en
Publisher:
Release Date : 1960

The Mathematics Of Radiative Transfer written by John Desmond Peter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with categories.




Numerical Methods In Multidimensional Radiative Transfer


Numerical Methods In Multidimensional Radiative Transfer
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Author : Guido Kanschat
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-24

Numerical Methods In Multidimensional Radiative Transfer written by Guido Kanschat and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-24 with Mathematics categories.


Traditionally, radiative transfer has been the domain of astrophysicists and climatologists. In nuclear technology one has been dealing with the ana- gous equations of neutron transport. In recent years, applications of radiative transferincombustionmachinedesignandinmedicinebecamemoreandmore important. In all these disciplines one uses the radiative transfer equation to model the formation of the radiation ?eld and its propagation. For slabs and spheres e?ective algorithms for the solution of the transfer equation have been ava- able for quite some time. In addition, the analysis of the equation is quite well developed. Unfortunately, in many modern applications the approximation of a 1D geometry is no longer adequate and one has to consider the full 3D dependencies. This makes the modeling immensely more intricate. The main reasons for the di?culties result from the fact that not only the dimension of the geometric space has to be increased but one also has to employ two angle variables (instead of one) and very often one has to consider frequency coupling (due to motion or redistribution in spectral lines). In actual cal- lations this leads to extremely large matrices which, in addition, are usually badly conditioned and therefore require special care. Analytical solutions are not available except for very special cases. Although radiative transfer problems are interesting also from a ma- ematical point of view, mathematicians have largely neglected the transfer equation for a long time.



Radiative Transfer In Moving Media


Radiative Transfer In Moving Media
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Author : K.K. Sen
language : en
Publisher: Springer
Release Date : 1998-06

Radiative Transfer In Moving Media written by K.K. Sen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06 with Science categories.


The advancement of observational techniques has led to the discovery of a large number of stars exhibiting complex spectral structures. This necessitates the search for new methods to study the radiative transfer in such stars. This book presents mathematical methodologies developed for solving radiation transfer problems in moving media and stellar atmospheres.



Radiative Transfer On Discrete Spaces


Radiative Transfer On Discrete Spaces
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Author : Rudolph W. Preisendorfer
language : en
Publisher: Elsevier
Release Date : 2014-07-18

Radiative Transfer On Discrete Spaces written by Rudolph W. Preisendorfer and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-18 with Science categories.


Pure and Applied Mathematics, Volume 74: Radiative Transfer on Discrete Spaces presents the geometrical structure of natural light fields. This book describes in detail with mathematical precision the radiometric interactions of light-scattering media in terms of a few well established principles. Organized into four parts encompassing 15 chapters, this volume begins with an overview of the derivations of the practical formulas and the arrangement of formulas leading to numerical solution procedures of radiative transfer problems in plane-parallel media. This text then constructs radiative transfer theory in three ways. Other chapters consider the development of discrete radiative transfer theory from the local interaction principle. This book discusses as well the development of continuous radiative transfer theory. The final chapter deals with the task of formulating a mathematical foundation for radiative transfer theory. This book is a valuable resource for researchers in the field of radiative transfer theory whose interests transcend the physical and numerical aspects of the interaction of light with matter.



The Transfer Of Spectral Line Radiation


The Transfer Of Spectral Line Radiation
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Author : C. J. Cannon
language : en
Publisher: Cambridge University Press
Release Date : 2012-01-26

The Transfer Of Spectral Line Radiation written by C. J. Cannon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-26 with Science categories.


Originally published in 1985, this monograph describes the interaction of radiation with plasma. Using an approach that is particularly relevant to the interpretation of data from laboratory plasmas or stellar atmospheres, the author sets out the physics and mathematics of the interaction of photons with atoms, molecules, ions and electrons. The emphasis throughout is on relating the formal mathematics to the real world of observable properties and interpretation. The equation of radiative transfer for a two-level atom is solved exactly by two distinct methods. Techniques for solving more realistic problems are then presented. This leads to the main thrust of the book which gives a detailed analysis of the matter - radiation interaction.



Radiative Transfer


Radiative Transfer
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Author : Hélène Frisch
language : en
Publisher: Springer Nature
Release Date : 2022-05-26

Radiative Transfer written by Hélène Frisch and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-26 with Science categories.


This book discusses analytic and asymptotic methods relevant to radiative transfer in dilute media, such as stellar and planetary atmospheres. Several methods, providing exact expressions for the radiation field in a semi-infinite atmosphere, are described in detail and applied to unpolarized and polarized continuous spectra and spectral lines. Among these methods, the Wiener–Hopf method, introduced in 1931 for a stellar atmospheric problem, is used today in fields such as solid mechanics, diffraction theory, or mathematical finance. Asymptotic analyses are carried out on unpolarized and polarized radiative transfer equations and on a discrete time random walk. Applicable when photons undergo a large number of scatterings, they provide criteria to distinguish between large-scale diffusive and non-diffusive behaviors, typical scales of variation of the radiation field, such as the thermalization length, and specific descriptions for regions close and far from boundaries. Its well organized synthetic view of exact and asymptotic methods of radiative transfer makes this book a valuable resource for both graduate students and professional scientists in astrophysics and beyond.



Radiative Transfer Problems In Spherical Media


Radiative Transfer Problems In Spherical Media
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Author : K. K. Sen
language : en
Publisher:
Release Date : 1984

Radiative Transfer Problems In Spherical Media written by K. K. Sen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.




Radiative Transfer


Radiative Transfer
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Author : Subrahmanyan Chandrasekhar
language : en
Publisher: Courier Corporation
Release Date : 2013-04-15

Radiative Transfer written by Subrahmanyan Chandrasekhar and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-15 with Science categories.


This book by a Nobel Laureate provides the foundation for analysis of stellar atmospheres, planetary illumination, and sky radiation. Suitable for students and professionals in physics, nuclear physics, astrophysics, and atmospheric studies. 1950 edition.