Principles of scattering and transport of light /
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Author / Creator: | Carminati, Rémi, author. |
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Imprint: | New York : Cambridge University Press, 2021. |
Description: | 1 online resource. |
Language: | English |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/12754620 |
Table of 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
- References and Additional Reading
- 3 Geometrical Optics
- 3.1 Plane Waves
- 3.2 Eikonal Equation
- 3.3 Ray Equation
- 3.4 Transport of Intensity
- References and Additional Reading
- 4 Waves at Interfaces
- 4.1 Geometrical Theory of Refraction
- 4.2 Wave Theory of Reflection and Transmission
- 4.3 Total Internal Reflection
- References and Additional Reading
- 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
- References and Additional Reading
- 6 Plane-Wave Expansions
- 6.1 Plane-Wave Modes
- 6.2 Weyl Formula
- 6.3 Beam-Like Fields
- References and Additional Reading
- 7 Diffraction
- 7.1 Rayleigh-Sommerfeld Formulas
- 7.2 Fresnel and Fraunhofer Diffraction
- 7.3 Circular Aperture
- References and Additional Reading
- 8 Coherence Theory: Basic Concepts
- 8.1 Analytic Signal Representation
- 8.2 Random Fields and Coherence Functions
- 8.3 Interferometry
- References and Additional Reading
- 9 Coherence Theory: Propagation of Correlations
- 9.1 Wolf Equations
- 9.2 van Cittert-Zernike Theorem
- 9.3 Coherent Mode Representation
- References and Additional Reading
- 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
- References and Additional Reading
- 11 Optical Theorem
- 11.1 Extinguished Power.
- 11.2 Generalized Optical Theorem
- References and Additional Reading
- 12 Scattering in Model Systems
- 12.1 Point Scatterer
- 12.2 Collection of Point Scatterers
- 12.3 Scattering from Spheres of Arbitrary Size
- References and Additional Reading
- 13 Renormalized Perturbation Theory
- 13.1 Rytov Series
- 13.2 Geometrical Optics and the Radon Transform
- References and Additional Reading
- 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
- References and Additional Reading
- Exercises
- 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
- References and Additional Reading
- 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
- References and Additional Reading
- 17 Radiative Transport: Multiscale Theory
- 17.1 High-Frequency Asymptotics
- 17.2 Multiscale Expansion
- References and Additional Reading
- 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
- References and Additional Reading
- 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
- References and Additional Reading
- Exercises
- 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
- References and Additional Reading
- 21 Elementary Solutions of the Radiative Transport Equation
- 21.1 Ballistic Propagation
- 21.2 Collision Expansion
- 21.3 Isotropic Scattering
- References and Additional Reading
- 22 Problems with Planar and Azimuthal Symmetry
- 22.1 Singular Eigenfunctions
- 22.2 Green's Function
- 22.3 Diffusion Approximation
- References and Additional Reading
- 23 Scattering Theory for the Radiative TransportEquation
- 23.1 Integral Equations
- 23.2 Point Absorbers
- References and Additional Reading
- 24 Diffusion Approximation
- 24.1 Angular Moments
- 24.2 Asymptotic Analysis
- 24.3 Bethe-Salpeter to Diffusion
- References and Additional Reading
- 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
- References and Additional Reading
- 26 Diffuse Optics
- 26.1 Diffuse Waves
- 26.2 Wave Properties
- 26.3 Interference
- 26.4 Refraction
- 26.5 Diffraction
- References and Additional Reading
- 27 Scattering of Diffuse Waves
- 27.1 Integral Equations
- 27.2 Small Inhomogeneities
- 27.3 Extinction Theorem
- 27.4 Surface Integral Equations
- References and Additional Reading
- Exercises
- 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
- References and Additional Reading
- 30 Bulk Speckle Correlations
- 30.1 Model of Disorder
- 30.2 Field Correlation Function in the Ladder Approximation
- 30.3 Intensity Correlation Function
- References and Additional Reading
- 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
- References and Additional Reading
- 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
- References and Additional Reading
- 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
- References and Additional Reading
- 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
- References and Additional Reading
- 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
- References and Additional Reading
- Exercises
- 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
- References and Additional Reading
- 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
- References and Additional Reading
- 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
- References and Additional Reading
- 39 Scattering of Electromagnetic Waves
- 39.1 Integral Equations
- 39.2 Scattering Amplitude and Cross Sections
- 39.3 Born Approximation and Rayleigh-Gans Scattering
- References and Additional Reading
- 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
- References and Additional Reading
- 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
- References and Additional Reading
- 42 Multiple Scattering of Electromagnetic Waves: Average Field.