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 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 402 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 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 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 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 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 Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2013 with total page 968 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 Nuclear Science Abstracts written by and published by . This book was released on 1973 with total page 1412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Wave Propagation written by K. Sobczyk and published by Elsevier. This book was released on 2012-12-02 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise, unified exposition of the existing methods of analysis of linear stochastic waves with particular reference to the most recent results. Both scalar and vector waves are considered. Principal attention is concentrated on wave propagation in stochastic media and wave scattering at stochastic surfaces. However, discussion extends also to various mathematical aspects of stochastic wave equations and problems of modelling stochastic media.
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 3D Radiative Transfer in Cloudy Atmospheres written by Alexander Marshak and published by Springer Science & Business Media. This book was released on 2006-05-27 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developments in three-dimensional cloud radiation over the past few decades are assessed and distilled into this contributed volume. Chapters are authored by subject-matter experts who address a broad audience of graduate students, researchers, and anyone interested in cloud-radiation processes in the solar and infrared spectral regions. After two introductory chapters and a section on the fundamental physics and computational techniques, the volume extensively treats two main application areas: the impact of clouds on the Earth's radiation budget, which is an essential aspect of climate modeling; and remote observation of clouds, especially with the advanced sensors on current and future satellite missions.
Download or read book Nonlinear Acoustical Imaging written by Woon Siong Gan and published by Springer Nature. This book was released on 2021-11-16 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book first introduced the theoretical foundation of nonlinear acoustics such as the basic equations of nonlinear acoustics followed by a statistical mechanics approach to nonlinear acoustics, then a curvilinear spacetime approach to nonlinear acoustics, then a gauge invariance approach to nonlinear acoustics, and application of chaos theory to nonlinear acoustics. Various formats of nonlinear acoustical imaging are given such as B/A nonlinear parameter acoustical imaging, fractal imaging, harmonics imaging, nonclassical nonlinear acoustical imaging, and modulation method in nonlinear acoustical imaging with their applications.
Download or read book Library of Congress Subject Headings written by Library of Congress. Subject Cataloging Division and published by . This book was released on 1980 with total page 1314 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Measurements Mechanisms and Models of Heat Transport written by Anne M. Hofmeister and published by Elsevier. This book was released on 2018-11-16 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measurements, Mechanisms, and Models of Heat Transport offers an interdisciplinary approach to the dynamic response of matter to energy input. Using a combination of fundamental principles of physics, recent developments in measuring time-dependent heat conduction, and analytical mathematics, this timely reference summarizes the relative advantages of currently used methods, and remediates flaws in modern models and their historical precursors. Geophysicists, physical chemists, and engineers will find the book to be a valuable resource for its discussions of radiative transfer models and the kinetic theory of gas, amended to account for atomic collisions being inelastic. This book is a prelude to a companion volume on the thermal state, formation, and evolution of planets. Covering both microscopic and mesoscopic phenomena of heat transport, Measurements, Mechanisms, and Models of Heat Transport offers both the fundamental knowledge and up-to-date measurements and models to encourage further improvem - Combines state-of-the-art measurements with core principles to lead to a better understanding of heat conduction and of radiative diffusion, and how these processes are linked - Focuses on macroscopic models of heat transport and the underlying physical principles, providing the tools needed to solve many different problems in heat transport - Connects thermodynamics with behavior of light in revising the kinetic theory of gas, which underlies all models of heat transport, and uses such links to re-derive formulae for blackbody emissions - Explores all states of matter, with an emphasis on crystalline and amorphous solids
Download or read book Reactor Physics Calculations For Applications In Nuclear Technology Proceedings Of The Workshop written by Dermott E Cullen and published by World Scientific. This book was released on 1991-01-30 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop was designed to meet the needs of those currently involved in or are planning a nuclear programme involving research and/or power fission reactors. The workshop had a broad scope including not only fission reactor core calculations, but also safety, fuel management, waste disposal reactor licensing. The lectures and computer exercises covered almost all aspects of the operation of fission reactors.This workshop introduced participants to the methods currently used in fission reactor calculations and to some computer codes in which these methods are used.
Download or read book Library of Congress Subject Headings F O written by Library of Congress. Subject Cataloging Division and published by . This book was released on 1988 with total page 1452 pages. Available in PDF, EPUB and Kindle. Book excerpt: