Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- Acronyms
- 1 Introduction
- 2 The macroscopic Maxwell equations and monochromatic fields
- 3 Fundamental homogeneous-medium solutions of the macroscopic Maxwell equations
- 4 Basic theory of frequency-domain electromagnetic scattering by a fixed finite object
- 5 Far-field scattering
- 6 The Foldy equations
- 7 The Stokes parameters
- 8 Poynting–Stokes tensor
- 9 Polychromatic electromagnetic fields
- 10 Polychromatic scattering by fixed and randomly changing objects
- 11 Measurement of electromagnetic energy flow
- 12 Measurement of the Stokes parameters
- 13 Description of far-field scattering in terms of actual optical observables
- 14 Electromagnetic scattering by a small random group of sparsely distributed particles
- 15 Statistically isotropic and mirror-symmetric random particles
- 16 Numerical computations and laboratory measurements of electromagnetic scattering
- 17 Far-field observables: qualitative and quantitative traits
- 18 Electromagnetic scattering by discrete random media: far field
- 19 Near-field scattering by a sparse discrete random medium: microphysical radiative transfer theory
- 20 Radiative transfer in plane-parallel particulate media
- 21 Weak localization
- 22 Epilogue
- Appendix A Dyads and dyadics
- Appendix B Free-space dyadic Green's function
- Appendix C Euler rotation angles
- Appendix D Spherical-wave decomposition of a plane wave in the far zone
- Appendix E Integration quadrature formulas
- Appendix F Wigner d-functions
- Appendix G Stationary phase evaluation of a double integral
- Appendix H Hints and answers to selected problems
- References
- Index
- Plate Section
22 - Epilogue
Published online by Cambridge University Press: 05 July 2014
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- Acronyms
- 1 Introduction
- 2 The macroscopic Maxwell equations and monochromatic fields
- 3 Fundamental homogeneous-medium solutions of the macroscopic Maxwell equations
- 4 Basic theory of frequency-domain electromagnetic scattering by a fixed finite object
- 5 Far-field scattering
- 6 The Foldy equations
- 7 The Stokes parameters
- 8 Poynting–Stokes tensor
- 9 Polychromatic electromagnetic fields
- 10 Polychromatic scattering by fixed and randomly changing objects
- 11 Measurement of electromagnetic energy flow
- 12 Measurement of the Stokes parameters
- 13 Description of far-field scattering in terms of actual optical observables
- 14 Electromagnetic scattering by a small random group of sparsely distributed particles
- 15 Statistically isotropic and mirror-symmetric random particles
- 16 Numerical computations and laboratory measurements of electromagnetic scattering
- 17 Far-field observables: qualitative and quantitative traits
- 18 Electromagnetic scattering by discrete random media: far field
- 19 Near-field scattering by a sparse discrete random medium: microphysical radiative transfer theory
- 20 Radiative transfer in plane-parallel particulate media
- 21 Weak localization
- 22 Epilogue
- Appendix A Dyads and dyadics
- Appendix B Free-space dyadic Green's function
- Appendix C Euler rotation angles
- Appendix D Spherical-wave decomposition of a plane wave in the far zone
- Appendix E Integration quadrature formulas
- Appendix F Wigner d-functions
- Appendix G Stationary phase evaluation of a double integral
- Appendix H Hints and answers to selected problems
- References
- Index
- Plate Section
Summary
The diagram in Fig. 22.1 provides a schematic summary of this textbook and serves to classify the place of the microphysical theories of radiative transfer and WL within the broader context of Maxwell's electromagnetics. Although we have been using the adjective “microphysical” in order to emphasize the back-traceability of both theories to the MMEs, it can also be said that these theories have a mesoscopic origin. Indeed, the term “mesoscopic physics” refers to a size regime that is intermediate between the microscopic and macroscopic and is characteristic of a region where a large number of particles can interact in a correlated fashion. The direct computer solutions of the Maxwell equations described in Chapter 18 demonstrate indeed how the “macroscopic” regime of radiative transfer and WL emerges from the “microscopic” particle-level regime of Maxwell's electromagnetics upon averaging over random realizations of a multi-particle group. Extensive discussions of mesoscopic optical phenomena can be found in the monographs by Sheng (2006) and Akkermans and Montambaux (2007).
Besides being a one-page summary of the book, Fig. 22.1 also helps identify problems that still await solution. First of all, by using the frequency-domain MMEs as the point of departure, we have completely excluded from consideration such phenomena as emission of electromagnetic waves and frequency redistribution, as well as situations involving pulsed illumination.
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- Chapter
- Information
- Electromagnetic Scattering by Particles and Particle GroupsAn Introduction, pp. 368 - 371Publisher: Cambridge University PressPrint publication year: 2014