Scattering from Model Nonspherical Particles (eBook)

Preface to the Second Edition 7
Preface to the First Edition 10
Contents 13
1 Multipole Fields 18
1.1 Introduction 18
1.2 Field Equations 19
1.3 Vector Helmholtz Equation 21
1.4 Transformation Properties of Vector Fields 22
1.5 Eigenvectors of the Angular Momentum 25
1.6 Spherical Tensors on the Unit Sphere 31
1.7 Multipole Fields 39
1.8 Addition Theorem for Multipole Fields 44
2 Propagation Through an Assembly of Nonspherical Scatterers 49
2.1 Scattering Amplitude 49
2.2 Cross Sections 51
2.3 Optical Theorem 53
2.4 Scattering by an Ensemble of Particles 56
2.5 Refractive Index of a Dispersion of Particles 58
2.6 Description of Polarization 60
2.7 Kinematics of a Scattering Process 64
2.8 Stokes Parameters 68
2.9 Polarization of Waves of General Form 72
3 Radiation Force, Radiation Torque and Thermal Emission 78
3.1 Conservation Laws 78
3.2 Radiation Force and Radiation Torque 82
3.3 Thermal Emission 84
4 Multipole Expansions and Transition Matrix 87
4.1 Multipole Expansions of Plane Waves 87
4.2 Multipole Expansion of the Scattered Field 91
4.3 Transition Matrix 94
4.4 Refractive Index of a Polydispersion of Particles 97
4.5 Orientational Averages 98
4.6 Effect of an Electrostatic Field 102
4.7 Effect of the Diffusive Motion 106
4.8 Radiation Force on Nonspherical Particles 109
4.9 Radiation Torque on Nonspherical Particles 113
4.10 Thermal Emission Force on Nonspherical Particles 120
5 Transition Matrix of Single and Aggregated Spheres 123
5.1 Homogeneous Spheres 123
5.2 Radially Nonhomogeneous Spheres 128
5.3 Resonances 131
5.4 Aggregates of Spheres 132
5.5 Spheres Containing Spherical Inclusions 139
5.6 Finite Elements Methods 143
6 Scattering from Particles on a Plane Surface 149
6.1 Incident and Reflected Fields 150
6.2 Perfectly Reflecting Surface 152
6.3 Dielectric Half-Space 157
6.4 Scattering from a Sphere on a Dielectric Substrate 163
6.5 Aggregated Spheres on a Dielectric Substrate 168
6.6 Perfectly Reflecting vs. Dielectric Surface: Similarities and Differences 173
6.7 Total Internal Reflection and Evanescent Waves 174
7 Applications: Aggregated Spheres, Layered Spheres, and Spheres Containing Inclusions 178
7.1 General Features of Scattering from Aggregated Spheres 179
7.2 Clusters of Large Spheres 192
7.3 Clusters in an Electrostatic Field 203
7.4 Extinction from Single and Aggregated Layered Spheres 209
7.5 Spheres Sustaining the Propagation of Longitudinal Waves 218
7.6 Spheres Containing Inclusions 221
7.7 Spheres with Cavities and Depolarization of the Internal Field 237
7.8 Correlation Spectroscopy 241
7.9 Radiation Force on Aggregates of Spheres 246
7.10 Radiation Torque on Aggregated Spheres 252
7.11 Thermal Emission Force on Aggregated Spheres 255
8 Applications: Single and Aggregated Spheres and Hemispheres on a Plane Interface 258
8.1 Aggregated Spheres and Hemispheres on a Metallic Surface 258
8.2 Inclusion-Containing Hemispheres on a Metallic Surface 265
8.3 Resonance Suppression Mechanism 271
8.4 Particles on a Dielectric Substrate 277
8.5 Scattering of Evanescent Waves 290
9 Applications: Atmospheric Ice Crystals 295
9.1 Properties of Atmospheric Ice Crystals in the Infrared 295
9.2 Ice Crystals in the mm Wave Range 301
10 Applications: Cosmic Dust Grains 310
10.1 Interstellar Dust 310
10.2 Modeling Cosmic Dust Grains as Aggregates 312
10.3 Fluffy Particles 317
10.4 Radiation Pressure on Fluffy Cosmic Dust Grains 324
10.5 Ultraviolet Radiation Within Grain Cavities 330
A Appendix 341
A.1 Bessel and Hankel Functions 341
A.2 Spherical Harmonics 342
A.3 Clebsch–Gordan Coefficients 343
A.4 Rotation Matrices D(l) 344
A.5 Calculating M 1, H 1, and H 1 344
A.6 General Approach to the Computational Problem 344
References 346
Index 354