Principles of scattering and transport of light /

Saved in:
Bibliographic Details
Author / Creator:Carminati, Rémi, author.
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
Hidden Bibliographic Details
Other authors / contributors:Schotland, John C., 1960- author.
ISBN:9781316544693
1316544699
9781009038003
1009038001
9781107146938
1107146933
Notes:Includes bibliographical references and index.
Print version record.
Other form:Print version: Carminati, Rémi, Principles of scattering and transport of light 9781107146938
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.