Titlebook: Radiative Transfer; An Introduction to E Hélène Frisch Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license t

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An Overview of the Content,Part II to their generalization to vector and matrix problems for linearly polarized radiation fields. In Part I we deal only with the radiation field intensity, whereas in Part II we also consider the linear polarization created by the scattering of photons. In Part III, we use asymptotic methods t

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Exact Methods of Solution: A Brief Surveys chapter we present, more or less in a chronological order, a brief summary of exact methods of solution. They are described in detail in the next chapters, following an inverse chronological order, recent methods allowing us to introduce tools and concepts that make it easier to understand the fir

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Singular Integral Equations exact methods of solutions have been developed, in other branches of physics or in mathematical physics. For infinite media, as shown in Sect. ., the integral equation for the source function can be transformed into an algebraic equation by performing a Fourier transform. For radiative transfer pro

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Spectral Line with Continuous Absorptions such as the Sun the dominant source of continuous absorption is the negative hydrogen ion H., an ion with a single bound state of low binding energy. In this Chapter we show how a continuous absorption and a continuous emission modify the results presented in Chap. . for spectral lines formed with

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The Case Eigenfunction Expansion Methodier approach to partial differential equations. The basic idea is to construct a set of eigenfunctions, solutions of a homogeneous transport equation. The eigenfunctions are used to expand arbitrary solutions, and the main task consists of the determination of the expansion coefficients. In this Cha