Multiple Light Scattering

Contents
Preface
Contents of Volume 2
Part I General Theory
1 Concepts, Terms, Notation
1.1 Directions for Use
1.2 Some Hard Choices
References
2 Exponential Integrals and Related Functions
2.1 Quick Survey
2.2 Exponential Integrals (E Functions)
2.3 General Exponential Integral
2.4 F Functions
2.5 G Functions
References
3 Reciprocity
3.1 Reciprocity and Detailed Balance
3.2 Far-Field Scattering by a Single Particles
3.3 Arbitrary Configurations
3.4 Plane Surfaces and Plane-Parallel Slabs
References
4 Methods
4.1 Posing the Problem
4.2 Criteria for a Choice
4.3 Method of Successive Orders
4.4 Ambartsumian's Method
4.5 The Adding or Doubling Method
References
5 Very Thick Layers with Arbitrary Anisotropic Scattering
5.1 Method and Terminology
5.2 Basic Concepts and Relations
5.3 Very Thick Layers
5.5 Internal Source Layer
5.6 Asymptotic Fitting
References
6 Results Obtained by Expanding the Phase Function in Legendre Polynomial
6.1 Introduction and Conclusions
6.2 Unbounded Medium
6.3 The Ambartsumian Functions
6.4 Reduction to H Functions
6.5 The Radiation Field at Arbitrary Depth
References
Part II Isotropic Scattering
7 Isotropic Scattering; Solutions by Use of the Milne Operator
7.1 Matrices in ? and µ
7.2 Solving the Milne Equation
7.3 Resulting Quantities
7.4 Eigenvalues of the Milne Operator
7.5 The Adding or Doubling Method Derived from the Milne Equation References
8 Isotropic Scattering, Semi-Infinite Atmospheres
8.1 Specifications
8.2 The Unbound Medium
8.3 The H Functions and Their Moments
8.4 Moments and Bimoments of the Reflections Function
8.5 Point-Direction Gain in a Semi-Infinite Atmosphere
8.6 Radiation Emerging from a Semi-Infinite Atmosphere
8.7 References
9 Isotropic Scattering, Finite Slabs
9.1 Reflection and Transmission
9.2 Fate and Incident Energy
9.3 Point Direction Gain and Its Moment
9.4 Integrals of Grain Over Optical Depth: Homogeneously Embedded Sources
9.5 The Intensity inside the Atmosphere
9.6 Some Special Functions
References
Index