Principles of scattering and transport of light / Rémi Carminati, John C. Schotland.

Format:

Book

Author/Creator:

Carminati, Rémi, author.

Schotland, John C., 1960- author.

Language:

English

Subjects (All):

Light--Scattering.

Light.

Radiative transfer.

Physical Description:

1 online resource (xxi, 355 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge : Cambridge University Press, 2021.

Summary:

Light scattering is one of the most well-studied phenomena in nature. It occupies a central place in optical physics, and plays a key role in multiple fields of science and engineering. This volume presents a comprehensive introduction to the subject. For the first time, the authors bring together in a self-contained and systematic manner, the physical concepts and mathematical tools that are used in the modern theory of light scattering and transport, presenting them in a clear, accessible style. The power of these tools is demonstrated by a framework that links various aspects of the subject: scattering theory to radiative transport, radiative transport to diffusion, and field correlations to the statistics of speckle patterns. For graduate students and researchers in optical physics and optical engineering, this book is an invaluable resource on the interaction of light with complex media and the theory of light scattering in disordered and complex systems.

Contents:

Cover

Half-title Page

Title Page

Copyright Page

Dedication

Contents

Foreword

Preface

1 Introduction

References and Additional Reading

Part I Wave Optics

2 Electromagnetic Waves

2.1 Macroscopic Maxwell's Equations

2.2 Wave Equations

2.3 Boundary Conditions

2.4 Energy Conservation

3 Geometrical Optics

3.1 Plane Waves

3.2 Eikonal Equation

3.3 Ray Equation

3.4 Transport of Intensity

4 Waves at Interfaces

4.1 Geometrical Theory of Refraction

4.2 Wave Theory of Reflection and Transmission

4.3 Total Internal Reflection

5 Green's Functions and Integral Representations

5.1 Kirchhoff Integral Formula

5.2 The Green's Function in an Infinite Medium

5.3 Far-Field Radiation Pattern

6 Plane-Wave Expansions

6.1 Plane-Wave Modes

6.2 Weyl Formula

6.3 Beam-Like Fields

7 Diffraction

7.1 Rayleigh-Sommerfeld Formulas

7.2 Fresnel and Fraunhofer Diffraction

7.3 Circular Aperture

8 Coherence Theory: Basic Concepts

8.1 Analytic Signal Representation

8.2 Random Fields and Coherence Functions

8.3 Interferometry

9 Coherence Theory: Propagation of Correlations

9.1 Wolf Equations

9.2 van Cittert-Zernike Theorem

9.3 Coherent Mode Representation

Exercises

Part II Scattering of Waves

10 Scattering Theory

10.1 Integral Equations

10.2 Born Series and Multiple Scattering

10.3 Scattering Amplitude and Cross Sections

10.4 T-matrix

11 Optical Theorem

11.1 Extinguished Power.

11.2 Generalized Optical Theorem

12 Scattering in Model Systems

12.1 Point Scatterer

12.2 Collection of Point Scatterers

12.3 Scattering from Spheres of Arbitrary Size

13 Renormalized Perturbation Theory

13.1 Rytov Series

13.2 Geometrical Optics and the Radon Transform

14 Wave Reciprocity

14.1 Fundamental Relation

14.2 Local Form of the Reciprocity Theorem

14.3 Reciprocity of the Green's Function

14.4 Reciprocity of the Scattering Matrix

Part III Wave Transport

15 Multiple Scattering: Average Field

15.1 Gaussian Model

15.2 Average Field

15.3 Weak Scattering and Effective Medium

15.4 General Models of Disorder

16 Multiple Scattering: Field Correlationsand Radiative Transport

16.1 Field Correlations

16.2 Wigner Transform

16.3 Radiative Transport

16.4 General Models of Disorder

16.5 Ward Identity

17 Radiative Transport: Multiscale Theory

17.1 High-Frequency Asymptotics

17.2 Multiscale Expansion

18 Discrete Scatterers and Spatial Correlations

18.1 T-matrix of a Discrete Set of Scatterers

18.2 Irreducible Vertex

18.3 Independent Scattering

18.4 Structure Factor

18.5 Correlations

18.6 Transport Mean Free Path

19 Time-Dependent Radiative Transport and Energy Velocity

19.1 Two-Frequency Bethe-Salpeter Equation

19.2 Time-Dependent Radiative Transport Equation

19.3 Nonresonant Scattering

19.4 Resonant Scattering

19.5 Energy Velocity

Part IV Radiative Transport and Diffusion.

20 Radiative Transport: Boundary Conditions and Integral Representations

20.1 Time-Independent Radiative Transport

20.2 Boundary Conditions and Uniqueness

20.3 Green's Functions and Integral Representations

20.4 Reciprocity

21 Elementary Solutions of the Radiative Transport Equation

21.1 Ballistic Propagation

21.2 Collision Expansion

21.3 Isotropic Scattering

22 Problems with Planar and Azimuthal Symmetry

22.1 Singular Eigenfunctions

22.2 Green's Function

22.3 Diffusion Approximation

23 Scattering Theory for the Radiative TransportEquation

23.1 Integral Equations

23.2 Point Absorbers

24 Diffusion Approximation

24.1 Angular Moments

24.2 Asymptotic Analysis

24.3 Bethe-Salpeter to Diffusion

25 Diffuse Light

25.1 Boundary Conditions

25.2 Homogeneous Media

25.3 Plane-Wave Expansions

25.4 Half-Space Geometry

25.5 Slab Geometry

25.6 Time-Dependent Diffusion

26 Diffuse Optics

26.1 Diffuse Waves

26.2 Wave Properties

26.3 Interference

26.4 Refraction

26.5 Diffraction

27 Scattering of Diffuse Waves

27.1 Integral Equations

27.2 Small Inhomogeneities

27.3 Extinction Theorem

27.4 Surface Integral Equations

Part V Speckle and Interference Phenomena

28 Intensity Statistics

28.1 Fully Developed Speckle

28.2 Amplitude Distribution Function

28.3 Intensity Distribution Function

28.4 Speckle Contrast

28.5 Intensity Statistics of Unpolarized Electromagnetic Waves

References and Additional Reading.

29 Some Properties of Rayleigh Statistics

29.1 High-Order Moments of the Intensity

29.2 Field and Intensity Correlations

29.2.1 Factorization of the Intensity Correlation Function

29.2.2 Diagrammatic Representation

29.3 Diagrammatic View of Rayleigh Statistics

30 Bulk Speckle Correlations

30.1 Model of Disorder

30.2 Field Correlation Function in the Ladder Approximation

30.3 Intensity Correlation Function

31 Two-Frequency Speckle Correlations

31.1 Two-Frequency Bethe-Salpeter Equation

31.2 Two-Frequency Ladder Propagator

31.3 Field Correlation Function in an Infinite Medium

32 Amplitude and Intensity Propagators for Multiply-Scattered Fields

32.1 Amplitude Propagator

32.1.1 The Scattering Sequences Picture

32.1.2 Rigorous Definition of a Scattering Sequence

32.2 Correlation Function of the Amplitude Propagator

32.3 Correlation Function in an Infinite Medium

32.4 Intensity Propagator

33 Far-Field Angular Speckle Correlations

33.1 Angular Correlation Function

33.2 Field Angular Correlation Function

33.3 Intensity Propagator in the Diffusion Approximation

33.4 Intensity Correlation Function and Memory Effect

33.5 Size of a Speckle Spot

33.6 Number of Transmission Modes

34 Coherent Backscattering

34.1 Reflected Far-Field

34.2 Reflected Intensity

34.3 Reciprocity of the Amplitude Propagator

34.4 Coherent Backscattering Enhancement

34.5 Coherent Backscattering Cone and Angular Width

35 Dynamic Light Scattering

35.1 Single Scattering Regime

35.2 Measured Signal and Siegert Relation.

35.3 Multiple-Scattering Regime and Diffusing-Wave Spectroscopy

Part VI Electromagnetic Waves and Near-Field Scattering

36 Vector Waves

36.1 Vector Wave Equation

36.2 Energy Conservation

36.3 Reflection and Transmission of Electromagnetic Waves

37 Electromagnetic Green's Functions

37.1 Tensor Green's Function

37.2 Far-Field and Near-Field Asymptotics

37.3 Far-Field Radiated Power

37.4 Plane-Wave Expansion

37.5 Transverse and Longitudinal Green's Function

37.6 Half-Space Green's Function

38 Electric Dipole Radiation

38.1 Far-Field, Near-Field and Quasi-static Limit

38.2 Radiated Power

38.3 Local Density of States

38.4 Local Density of States and Dipole Radiation

38.5 A Simple Classical to Quantum Correspondence

38.6 Purcell Factor

38.7 Cross Density of States

39 Scattering of Electromagnetic Waves

39.1 Integral Equations

39.2 Scattering Amplitude and Cross Sections

39.3 Born Approximation and Rayleigh-Gans Scattering

40 Electromagnetic Reciprocity and the Optical Theorem

40.1 Lorentz Reciprocity Relation

40.2 Consequences of the Reciprocity Theorem

40.3 Conservation of Energy in a Scattering Problem

40.4 Optical Theorem for Electromagnetic Waves

40.5 Integral Theorems

41 Electromagnetic Scattering by Subwavelength Particles

41.1 Polarizability

41.2 Energy Conservation

41.3 Rayleigh and Resonant Scattering

41.4 Near-Field Scattering

41.5 Near-Field Local Density of States

41.6 Discussion

42 Multiple Scattering of Electromagnetic Waves: Average Field.

42.1 Model of Disorder.

Notes:

Title from publisher's bibliographic system (viewed on 20 Jul 2021).

ISBN:

1-009-03873-7

1-009-03800-1

1-316-54469-9

OCLC:

1266905150