Multiple Scattering of Light by Particlesvi
2.8 Rotation transformation rule for the Stokes parameters 47
2.9 Quasi-monochromatic light 48
2.10 Measurement of the Stokes parameters 54
2.11 Spherical-wave solution 58
2.12 Coherency dyad of the electric field 62
2.13 Historical notes and further reading 64
Chapter 3 Basic theory of electromagnetic scattering 66
3.1 Volume integral equation and Lippmann–Schwinger equation 67
3.2 Scattering in the far-field zone 71
3.3 Scattering dyadic and amplitude scattering matrix 78
3.4 Reciprocity 80
3.5 Scale invariance rule 84
3.6 Electromagnetic power and electromagnetic energy density 87
3.7 Phase matrix 93
3.8 Extinction matrix 99
3.9 Extinction, scattering, and absorption cross sections 102
3.10 Coherency dyad of the total electric field 105
3.11 Other types of illumination 109
3.12 Variable scatterers 110
3.13 Thermal emission 112
3.14 Historical notes and further reading 114
Chapter 4 Scattering by a fixed multi-particle group 115
4.1 Vector form of the Foldy–Lax equations 115
4.2 Far-field version of the vector Foldy–Lax equations 118
Chapter 5 Statistical averaging 123
5.1 Statistical averages 124
5.2 Configurational averaging 126
5.3 Averaging over particle states 126
Chapter 6 Scattering by a single random particle 131
6.1 Scattering in the far-field zone of the trap volume 131
6.2 “Near-field” scattering 136
Chapter 7 Single scattering by a small random particle group 140
7.1 Single-scattering approximation for a fixed group of particles 141
7.2 Far-field single-scattering approximation for a fixed particle
group 142
7.3 Far-field uncorrelated single-scattering approximation and modified
uncorrelated single-scattering approximation 145
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