Multiple Light Scattering

Multiple Light Scattering

Tables, Formulas, and Applications

1st Edition - July 28, 1980

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  • Author: H Van de Hulst
  • eBook ISBN: 9780323155571

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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.

Table of Contents

  • Contents


    Contents of Volume 2

    Part I General Theory

    1 Concepts, Terms, Notation

    1.1 Directions for Use

    1.2 Some Hard Choices


    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


    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


    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


    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


    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


    Part II Isotropic Scattering

    7 Isotropic Scattering; Solutions by Use of the Milne Operator

    7.1 Matrices in ԏ 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



Product details

  • No. of pages: 332
  • Language: English
  • Copyright: © Academic Press 1980
  • Published: July 28, 1980
  • Imprint: Academic Press
  • eBook ISBN: 9780323155571

About the Author

H Van de Hulst

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