Multiple Light Scattering

Multiple Light Scattering: Tables, Formulas, and Applications, Volume 1 serves to give concise and handy information related to multiple scattering theory in such a way that the reader would not have to rely on extensive literature on the subject.
The book is divided into two parts. Part I: General Theory covers the basic concepts, terms, and notations related to multiple scattering theory; exponential integrals and related functions; reciprocity and detailed balance; different related methods; and homogenous atmospheres with arbitrary phase function and single-scattering albedo. Part II: Isotropic Scattering discusses related concepts such as solutions using the Milne operator; semi-infinite atmospheres; the H-functions; and finite slabs.
The text is recommended for practitioners in optics, atmospheric physics, astronomy, and other fields that need a reference book in the subject of multiple light scattering.

Contenu

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