Download or read book Radiative Transfer Using Boltzmann Transport Theory written by Carnell Littlejohn and published by Universal-Publishers. This book was released on 2004-12-16 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Radiative transfer of photons though a random distribution of scatterers is considered. The Boltzmann transport eq is used to develop a program to obtain real values of intensity based on a set of discrete time intervals. A Newton-Raphson method is used to determine a set of eigenvalues based on the boundary conditions and system geometry. A numerical method due to Lanczos is used to approximately invert a Laplace transform. The algorithm is designed for easy modification to more general problems. PART II: Eigenvalues for the intensity distribution from the one speed Boltzmann transport equation can be computed using an iteration method with the roots and coefficients for the zeros of the Legendre polynomials and the results converge to the known values based on a Newton-Raphson method used in an earlier treatment for a radiative transfer . A spherical harmonic expansion of the intensity and the application of laplace and finite fourier transforms was used to solve the problem . The zero of a transcendental equation based on the differential equation for the boundary conditions was approximated for the eigenvalues . A Newton-Raphson method was used . Here an iteration method is used with the Legendre polynomials and the results are identical to the Newton-Raphson results therefore the Legendre polynomials can be used to compute the eigenvalues for the intensity distribution . A S16 approximation of the intensity distribution using Fast Fourier Transforms for the coefficients of the interpolating polynomial is given . The program for the coefficients is from a standard Numerical Methods text (Burden and Faires, 1993, Chap.8, p. 309). Arctans from the approximation are compared with the Newton-Raphson eigenvalues.
Download or read book Radiation Transfer written by L. A. Apresyan and published by Routledge. This book was released on 2019-07-16 with total page 272 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 An Introduction to Radiative Transfer written by Annamaneni Peraiah and published by Cambridge University Press. This book was released on 2002 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2001 book presents the methodologies used by astrophysicists for solving the radiative transfer equation.
Download or read book Radiative Processes in Astrophysics written by George B. Rybicki and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Radiative Processes in Astrophysics: This clear, straightforward, and fundamental introduction is designed to present-from a physicist's point of view-radiation processes and their applications to astrophysical phenomena and space science. It covers such topics as radiative transfer theory, relativistic covariance and kinematics, bremsstrahlung radiation, synchrotron radiation, Compton scattering, some plasma effects, and radiative transitions in atoms. Discussion begins with first principles, physically motivating and deriving all results rather than merely presenting finished formulae. However, a reasonably good physics background (introductory quantum mechanics, intermediate electromagnetic theory, special relativity, and some statistical mechanics) is required. Much of this prerequisite material is provided by brief reviews, making the book a self-contained reference for workers in the field as well as the ideal text for senior or first-year graduate students of astronomy, astrophysics, and related physics courses. Radiative Processes in Astrophysics also contains about 75 problems, with solutions, illustrating applications of the material and methods for calculating results. This important and integral section emphasizes physical intuition by presenting important results that are used throughout the main text; it is here that most of the practical astrophysical applications become apparent.
Download or read book Radiative Heat Transfer and Conduction Between Parallel Walls written by John D. Buckmaster and published by . This book was released on 1965 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: A simple problem is presented in each of the theories of radiation and kinetic transport. In the first half the problem examined is that of the radiative heat transfer between parallel walls bounding a slab of hot gas. An exact solution to this problem is obtained in terms of the moments of Chandrasekhar's X and Y functions. In addition, exact results are obtained for the magnitude of the temperature discontinuity at each wall. These results confirm the accuracy of a simple slip analysis. The second half is concerned with the more difficult problem of kinetic heat transfer for the same basic geometry. A linearized relaxation model for the Boltzmann equation is adopted and simplified with the specific intention of obtaining equations formally identical to those of radiative transport. These equations are then solved for the heat transfer and temperature jumps using the results of the first section. (Author).
Download or read book Thermal Radiation Heat Transfer written by Robert Siegel and published by Hemisphere Pub. This book was released on 2002-01-01 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Transport in Spectral Lines written by R.G. Athay and published by Springer Science & Business Media. This book was released on 1972-12-31 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The usual book on the theory of spectral line formation begins with an in-depth dis cussion of radiation transfer, including the elegant methods of obtaining analytical solutions for special cases, and of the physics of line broadening. Neither of those features will be found in this book. It is assumed that the reader is already familiar with the essentials of transport theory and of line broadening and is ready to investi gate some of the particular applications of the theory to the flow of line photons through the outer layers of a star, or other tenuous media. The main thrust of this book is toward the compilation and presentation of a vast quantity of computational material available to the author in the form of computer output. The material presented represents a highly filtered sample of the published work in this subject plus an extensive set of previously unpublished results. To present large quantities of computer output in an intelligible and efficient way is a difficult task, for which I have found no really satisfactory solution. Chapters III and IV, in particular, contain almost exclusively this type of presentation. The reader may find these chapters somewhat tedious because of the level of condensation of the material. I have tried to reach a reasonable balance between over condensation and excessive detail, which in the long run may be irrelevant.
Download or read book Radiative Heat Transfer written by Michael F. Modest and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a comprehensive treatment of heat transfer. In addition to the standard topics usually covered, it also includes a number of modern state-of-the-art topics including: radiative properties of particles, generation of P-N approximation and collimated irradiation.
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 Tomography and Inverse Transport Theory written by Guillaume Bal and published by American Mathematical Soc.. This book was released on 2011 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains research and review articles written by participants of two related international workshops ``Mathematical Methods in Emerging Modalities of Medical Imaging'' (October 2009) and ``Inverse Transport Theory and Tomography'' (May 2010), which were held at the Banff International Research Station in Banff, Canada. These workshops brought together mathematicians, physicists, engineers, and medical researchers working at the cutting edge of medical imaging research and addressed the demanding mathematical problems arising in this area. The articles, written by leading experts, address important analytic, numerical, and physical issues of the newly developing imaging modalities (e.g., photoacoustics, current impedance imaging, hybrid imaging techniques, elasticity imaging), as well as the recent progress in resolving outstanding problems of more traditional modalities, such as SPECT, ultrasound imaging, and inverse transport theory. Related topics of invisibility cloaking are also addressed.
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 Radiative Transfer in Nontransparent Dispersed Media written by Harald Reiss and published by Springer. This book was released on 2006-04-11 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Existing standard textbooks on radiative transfer (RT) are usually confined to theoretical models with little reference to experimental methods. This book has been written to illustrate how calorimetric and spectroscopic measurements can be used to check theoretical predictions on extinction properties of infrared radiation in optically thick, absorbing and scattering particulate media. A determination of infrared extinction coefficients is now possible from three completely independent methods. An interpretation of the results of thermal conductivity measurements is made in terms of the diffusion model of RT. One of the most important topics of the book is the experimental separation of heat transfer modes. Since all modes other than scattered radiation are coupled by temperature profiles, conservation of energy also requires an understanding of the non-radiative heat flow components. Unlike other volumes on RT, this book also contains a review of non-radiative heat flow mechanisms. Thus the book does not treat RT as an isolated phenomenon but stresses the key role of RT among the other transport processes. A considerable part of the book is devoted to the calculation of extinction cross sections by application of Mie theory, anisotropic and dependent scattering, optimization of radiation extinction by experimental means, existence or non-existence of thermal conductivity, and other general questions within the field of thermophysics.
Download or read book Encyclopedia of Remote Sensing written by Eni Njoku and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This first encyclopaedic reference on remote sensing describes the concepts, techniques, instrumentation, data analysis, interpretation, and applications of remote sensing, both airborne and space-based. Scientists, engineers, academics, and students can quickly access answers to their reference questions and direction for further study.
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2013 with total page 972 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Library of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and published by . This book was released on 2009 with total page 1924 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Radiative Transfer in Scattering and Absorbing Atmospheres written by Jacqueline Lenoble and published by . This book was released on 1985 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
