Perturbation Approach For The Radiative Transfer Equation For 3d Moving Media And Application To Accretion Disks
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Perturbation Approach For The Radiative Transfer Equation For 3d Moving Media And Application To Accretion Disks
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Author :
language : en
Publisher:
Release Date : 2001
Perturbation Approach For The Radiative Transfer Equation For 3d Moving Media And Application To Accretion Disks written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
The multidimensional radiative transfer equation is solved by means of a perturbation approach in which the full solution is represented by a sequence of 1D solutions. Since the solutions of the higher perturbation orders are given explicitly, and the methods used for the solution of the zero order equation are largely analytical, the corresponding code is more efficient than general multidimensional radiative transfer codes. To examine this iterative procedure the radiation field of a geometrically thin slowly rotating accretion disk is calculated. The method is the improvement of those methods which treat the accretion disk as a system of independent rings because the interaction of the rings is taken into account in the higher perturbation orders. The influences of radial gradients, velocity field etc. on the line profile are discussed. Furthermore, under assumption of the two-stream approximation the analytical solution of the plane-parallel radiative transfer equation is found for a large variety of the internal distribution of the de-excitation coefficient $varepsilon$. A new method for the solution of the equation with the stochastic $varepsilon$ is proposed. In addition, an improved separable approximation method enable us to obtain fast and accurate solution of the basic plane-parallel radiative transfer equation without angle and space discretization.
Perturbation Approach For The Radiative Transfer Equation For 3d Moving Media And Application To Accretion Disks
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Author : Nikolai V. Kryzhevoi
language : en
Publisher:
Release Date : 2001
Perturbation Approach For The Radiative Transfer Equation For 3d Moving Media And Application To Accretion Disks written by Nikolai V. Kryzhevoi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
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 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.
Radiation Transfer
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Author : L. A. Apresyan
language : en
Publisher: Routledge
Release Date : 2019-07-16
Radiation Transfer written by L. A. Apresyan and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-16 with Technology & Engineering categories.
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.
Radiative Transfer
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Author : Mats Carlsson
language : en
Publisher:
Release Date : 1987
Radiative Transfer written by Mats Carlsson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Radiative transfer categories.
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.
Some Approximations To The Radiative Transfer Equation And Their Applications
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Author : Qiwei Sheng
language : en
Publisher:
Release Date : 2013
Some Approximations To The Radiative Transfer Equation And Their Applications written by Qiwei Sheng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Fokker-Planck equation categories.
Radiative transfer theory describes the interaction of radiation with scattering and absorbing media. It has applications in neutron transport, atmospheric physics, heat transfer, molecular imaging, and so on. In steady state, the radiative transfer equation is an integro-differential equation of five independent variables. This high dimensionality and presence of integral term present a serious challenge when one tries to solve the equation numerically. Over the past 50 years, several techniques for solving the radiative transfer equation have been introduced. One among them is to use approximations of RTE. Various approximations of RTE have been proposed in the literature. These include, but are certainly not limited to, the delta-Eddington approximation, the Fokker-Planck approximation, the Boltzmann-Fokker-Planck approximation, the generalized Fokker-Planck approximation, the Fokker-Planck-Eddington approximation and the generalized Fokker-Planck-Eddington approximation. The Fokker-Planck approximation and differential approximation have received particular attention in the literature due to their relatively high accuracy, relatively low computational cost, and flexibility to potential large scale parallel computing. In this thesis we present a well-posed result for the Fokker-Planck equation that may be used to approximate the radiative transfer equation in highly forward-peaked media. Then we study the differential approximation of radiative transfer (RT/DA) equations. Well-posedness of these approximations is studied. A convergent iteration method for the RT/DA equation is presented. Then we turn to a study of RT/DA based inverse problems. The inverse problems are ill-posed and regularization is needed in solving the inverse problems. We present an existence result for solutions of regularized formulations of the inverse problems. Finally examples are included to illustrate numerical results in solving the inverse problems.
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.
Numerical Radiative Transfer
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Author : Wolfgang Kalkofen
language : en
Publisher: Cambridge University Press
Release Date : 2009-07-02
Numerical Radiative Transfer written by Wolfgang Kalkofen 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 2009-07-02 with Science categories.
First published in 1988, this book is a manual of methods for solving problems in radiative transfer. Several of the methods, on operator perturbation as well as on polarised radiative transfer, appeared for the first time in this volume, and the sections dealing with these topics each include introductory articles. The methods described are principally directed at astrophysical plasmas, but the methods are easily adaptable to applications involving other media where self-absorption of the radiation is important. The book is primarily intended for graduate students and research workers in the field of radiative transfer.