Download or read book Perturbation Approach for the Radiative Transfer Equation for 3D Moving Media and Application to Accretion Disks written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Radiative Transfer in Curved Media written by K. K. Sen and published by World Scientific. This book was released on 1990 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Radiative Transfer in Moving Media written by K.K. Sen and published by Springer. This book was released on 1998-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Radiative Transfer written by Hélène Frisch and published by Springer Nature. This book was released on 2022-05-26 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Radiation Transfer written by Apresyan and published by Routledge. This book was released on 2019-07-16 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Numerical Radiative Transfer written by Wolfgang Kalkofen and published by Cambridge University Press. This book was released on 2009-07-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Radiative Energy Transfer written by Robert Goulard and published by Elsevier. This book was released on 2017-07-26 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: Radiative Energy Transfer presents the proceedings of the symposium on interdisciplinary aspects of radiative energy transfer held in Philadelphia, Pennsylvania on February 24-26, 1966. The book includes topics on the two main classical directions of radiative transfer: diagnostic techniques and energy exchanges. The text also covers topics on molecular band models, inversion techniques, scattering problems, and shock-wave structure. Topics on high-speed shocks, stellar atmospheres, and meteorology are also encompassed.
Download or read book The Transfer of Spectral Line Radiation written by C. J. Cannon and published by Cambridge University Press. This book was released on 2012-01-26 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Radiative Transfer written by Mats Carlsson and published by . This book was released on 1987 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Radiative Transfer on Discrete Spaces written by Rudolph W. Preisendorfer and published by Elsevier. This book was released on 2014-07-18 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Radiative Transfer written by Subrahmanyan Chandrasekhar and published by . This book was released on 1960 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Radiative Transfer in Coupled Environmental Systems written by Knut Stamnes and published by John Wiley & Sons. This book was released on 2016-03-18 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the formulation and solution of forward and inverse problems related to coupled media, and provides examples of how to solve concrete problems in environmental remote sensing of coupled atmosphere-surface systems. The authors discuss radiative transfer in coupled media such as the atmosphere-ocean system with Lambertian as well non-Lambertian reflecting surfaces at the lower boundary. The spectral range from the ultraviolet to the microwave region of the electromagnetic spectrum is considered, as are multi-spectral as well as hyperspectral remote sensing, while solutions of the forward problem for unpolarized and polarized radiation are discussed in detail.
Download or read book Some Approximations to the Radiative Transfer Equation and Their Applications written by Qiwei Sheng and published by . This book was released on 2013 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Mathematics of Radiative Transfer written by I. W. Busbridge and published by . This book was released on 1960 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Methods in Radiative Transfer written by Wolfgang Kalkofen and published by Cambridge University Press. This book was released on 1984-04-26 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on Radiative Transfer written by Viktor Viktorovich Sobolev and published by . This book was released on 1963 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Radiative Transfer in Nontransparent Dispersed Media written by Harald Reiss and published by . This book was released on 2014-01-15 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
