Light Scattering in Inhomogeneous Atmospheres

1. Basic Concepts, Equations and Problems.- 1.1 Intensity of Radiation.- 1.2 Interaction of Radiation with Matter.- 1.3 Radiative Transfer Equation.- 1.4 Radiative Transfer Equation in a Stratified Medium.- 1.5 The Parallel External Flux Problem.- 1.6 The Milne Problem.- 1.7 The Problem for Two-Sided Infinity.- 1.8 Radiation Flux.- 1.9 Characteristics of Radiation at the Boundaries of an Atmosphere. The Problem of Diffuse Reflection and Diffuse Transmission of Light.- 1.10 The Flux Integral and K Integral.- 1.11 Green Function and Reciprocity Relations.- 1.12 Invariance Principles.- I. Homogeneous Atmosphere.- 2. Radiation Field in an Infinite Atmosphere.- 3. Semi-Infinite Medium.- 4. Atmosphere of Finite Optical Thickness.- 5. Atmosphere Above a Reflecting Surface.- II. Multilayer Atmosphere.- 6. Parallel External Flux Problem and the Milne Problem.- 7. Light Scattering in Two Adjacent Half-Spaces.- 8. Atmosphere Consisting of Layers with Large Optical Thickness.- III. Atmosphere with Continuously Varying Parameters.- 9. Diffuse Reflection and Transmission of Light by Atmospheres.- 10. Basic Equations Defining the Radiation Field in a Vertically Inhomogeneous Layer.- 11. Invariance Relations and Their Corollaries for a Semi-Infinite Atmosphere.- 12. Asymptotic Properties of Radiation Fields in Inhomogeneous Atmospheres.- 13. Atmospheres with Exponentially Varying Characteristics.- 14. Astrophysical, Geophysical, and Other Possible Applications of the Theory.- Appendix. Tables of Some Functions and Constants..- References.