The Mathematics Of Radiative Transfer
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Author |
: Subrahmanyan Chandrasekhar |
Publisher |
: Courier Corporation |
Total Pages |
: 418 |
Release |
: 2013-04-15 |
ISBN-10 |
: 9780486318455 |
ISBN-13 |
: 0486318451 |
Rating |
: 4/5 (55 Downloads) |
Synopsis Radiative Transfer by : Subrahmanyan Chandrasekhar
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.
Author |
: I. W. Busbridge |
Publisher |
: |
Total Pages |
: 168 |
Release |
: 1960 |
ISBN-10 |
: UCAL:$B111466 |
ISBN-13 |
: |
Rating |
: 4/5 (66 Downloads) |
Synopsis The Mathematics of Radiative Transfer by : I. W. Busbridge
Author |
: K. K. Sen |
Publisher |
: World Scientific |
Total Pages |
: 364 |
Release |
: 1990 |
ISBN-10 |
: 9810201850 |
ISBN-13 |
: 9789810201852 |
Rating |
: 4/5 (50 Downloads) |
Synopsis Radiative Transfer in Curved Media by : K. K. Sen
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.
Author |
: Subrahmanyan Chandrasekhar |
Publisher |
: |
Total Pages |
: 420 |
Release |
: 1960 |
ISBN-10 |
: UCSD:31822013778832 |
ISBN-13 |
: |
Rating |
: 4/5 (32 Downloads) |
Synopsis Radiative Transfer by : Subrahmanyan Chandrasekhar
Author |
: Guido Kanschat |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 310 |
Release |
: 2008-12-24 |
ISBN-10 |
: 9783540853695 |
ISBN-13 |
: 3540853693 |
Rating |
: 4/5 (95 Downloads) |
Synopsis Numerical Methods in Multidimensional Radiative Transfer by : Guido Kanschat
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.
Author |
: John Desmond Peter |
Publisher |
: |
Total Pages |
: |
Release |
: 1960 |
ISBN-10 |
: OCLC:959778002 |
ISBN-13 |
: |
Rating |
: 4/5 (02 Downloads) |
Synopsis The Mathematics of Radiative Transfer by : John Desmond Peter
Author |
: K.K. Sen |
Publisher |
: Springer |
Total Pages |
: 272 |
Release |
: 1998-06 |
ISBN-10 |
: UOM:39015047053437 |
ISBN-13 |
: |
Rating |
: 4/5 (37 Downloads) |
Synopsis Radiative Transfer in Moving Media by : K.K. Sen
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.
Author |
: Rudolph W. Preisendorfer |
Publisher |
: Elsevier |
Total Pages |
: 475 |
Release |
: 2014-07-18 |
ISBN-10 |
: 9781483185293 |
ISBN-13 |
: 148318529X |
Rating |
: 4/5 (93 Downloads) |
Synopsis Radiative Transfer on Discrete Spaces by : Rudolph W. Preisendorfer
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.
Author |
: Hélène Frisch |
Publisher |
: Springer Nature |
Total Pages |
: 611 |
Release |
: 2022-05-26 |
ISBN-10 |
: 9783030952471 |
ISBN-13 |
: 3030952479 |
Rating |
: 4/5 (71 Downloads) |
Synopsis Radiative Transfer by : Hélène Frisch
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.
Author |
: Apresyan |
Publisher |
: Routledge |
Total Pages |
: 482 |
Release |
: 2019-07-16 |
ISBN-10 |
: 9781351420075 |
ISBN-13 |
: 1351420070 |
Rating |
: 4/5 (75 Downloads) |
Synopsis Radiation Transfer by : Apresyan
The authors expound on non-traditional phenomena for transfer theory, which are nevertheless of considerable interest in wave measurements, and bring the advances of transfer theory as close as possible to the practical needs of those working in all areas of wave physics. The book opens with a historical overview of the topic, then moves on to examine the phenomenological theory of radiative transport, blending traditional theory with original ideas. The transport equation is derived from first principles, and the ensuing discussion of the diffraction content of the transport equation and non-classical radiometry is illustrated by practical examples from various fields of physics. Popular techniques of solving the transport equation are discussed, paying particular attention to wave physics and computing the coherence function. The book also examines various problems which are no longer covered by the traditional radiative transfer theory, such as enhanced backscattering and weak localization phenomena, nonlinear transport problems and kinetic equations for waves. This monograph bridges the gap between the simple power balance description in radiative transfer theory and modern coherence theory. It will be of interest to researchers and professionals working across a wide range of fields from optics, acoustics and radar theory to astrophysics, radioastronomy and remote sensing, as well as to students in these areas.