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Radiative Transfer - An Introduction to Exact and Asymptotic Methods (Hardcover, 1st ed. 2022)
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Radiative Transfer - An Introduction to Exact and Asymptotic Methods (Hardcover, 1st ed. 2022)
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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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