Overview
- A single volume for several exact methods of solution applicable in Astrophysics and Physics
- Solutions of scalar, vector, and matrix Cauchy singular integral equations
- The density matrix and the classical electromagnetic description of coherent scattering of spectral lines
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About this book
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.
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Table of contents (26 chapters)
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Front Matter
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Scalar Radiative Transfer Equations
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Front Matter
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Scattering Polarization
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Front Matter
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Authors and Affiliations
About the author
Hélène Frisch (b. 1940, Nantes, France) is a French astrophysicist. She studied physics and astrophysics in Paris (Université de Paris, École Normale Supérieure de Sèvres, Institut d'Astrophysique de Paris) and became a research scientist at Centre National de la Recherche Scientifique in 1963. She held positions with Observatoire de Paris (Meudon) and is since 1971 with Observatoire de la Côte d'Azur in Nice. Her research interests are in radiative transfer, especially spectral lines formation.
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Bibliographic Information
Book Title: Radiative Transfer
Book Subtitle: An Introduction to Exact and Asymptotic Methods
Authors: Hélène Frisch
DOI: https://doi.org/10.1007/978-3-030-95247-1
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-030-95246-4Published: 27 May 2022
Softcover ISBN: 978-3-030-95249-5Published: 27 May 2023
eBook ISBN: 978-3-030-95247-1Published: 26 May 2022
Edition Number: 1
Number of Pages: XXXII, 593
Number of Illustrations: 50 b/w illustrations
Topics: Mathematical Methods in Physics, Astrophysics and Astroparticles, Engineering Thermodynamics, Heat and Mass Transfer, Optics, Lasers, Photonics, Optical Devices