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E-Book

E-Book, Englisch, 348 Seiten

Borghese / Denti / Saija Scattering from Model Nonspherical Particles

Theory and Applications to Environmental Physics
2. Auflage 2007
ISBN: 978-3-540-37414-5
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Wasserzeichen (»Systemvoraussetzungen)

Theory and Applications to Environmental Physics

E-Book, Englisch, 348 Seiten

ISBN: 978-3-540-37414-5
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Wasserzeichen (»Systemvoraussetzungen)



This book provides the first coherent account of a well-known approach to the problem of light scattering by small anisotropic particles. In this extended second edition the authors have encompassed all the new topics arising from their recent studies of cosmic dust grains. Thus many chapters were deeply revised and new chapters were added. The book addresses a wide spectrum of applications.

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Weitere Infos & Material


1;Preface to the Second Edition;7
2;Preface to the First Edition;10
3;Contents;13
4;1 Multipole Fields;18
4.1;1.1 Introduction;18
4.2;1.2 Field Equations;19
4.3;1.3 Vector Helmholtz Equation;21
4.4;1.4 Transformation Properties of Vector Fields;22
4.5;1.5 Eigenvectors of the Angular Momentum;25
4.6;1.6 Spherical Tensors on the Unit Sphere;31
4.7;1.7 Multipole Fields;39
4.8;1.8 Addition Theorem for Multipole Fields;44
5;2 Propagation Through an Assembly of Nonspherical Scatterers;49
5.1;2.1 Scattering Amplitude;49
5.2;2.2 Cross Sections;51
5.3;2.3 Optical Theorem;53
5.4;2.4 Scattering by an Ensemble of Particles;56
5.5;2.5 Refractive Index of a Dispersion of Particles;58
5.6;2.6 Description of Polarization;60
5.7;2.7 Kinematics of a Scattering Process;64
5.8;2.8 Stokes Parameters;68
5.9;2.9 Polarization of Waves of General Form;72
6;3 Radiation Force, Radiation Torque and Thermal Emission;78
6.1;3.1 Conservation Laws;78
6.2;3.2 Radiation Force and Radiation Torque;82
6.3;3.3 Thermal Emission;84
7;4 Multipole Expansions and Transition Matrix;87
7.1;4.1 Multipole Expansions of Plane Waves;87
7.2;4.2 Multipole Expansion of the Scattered Field;91
7.3;4.3 Transition Matrix;94
7.4;4.4 Refractive Index of a Polydispersion of Particles;97
7.5;4.5 Orientational Averages;98
7.6;4.6 Effect of an Electrostatic Field;102
7.7;4.7 Effect of the Diffusive Motion;106
7.8;4.8 Radiation Force on Nonspherical Particles;109
7.9;4.9 Radiation Torque on Nonspherical Particles;113
7.10;4.10 Thermal Emission Force on Nonspherical Particles;120
8;5 Transition Matrix of Single and Aggregated Spheres;123
8.1;5.1 Homogeneous Spheres;123
8.2;5.2 Radially Nonhomogeneous Spheres;128
8.3;5.3 Resonances;131
8.4;5.4 Aggregates of Spheres;132
8.5;5.5 Spheres Containing Spherical Inclusions;139
8.6;5.6 Finite Elements Methods;143
9;6 Scattering from Particles on a Plane Surface;149
9.1;6.1 Incident and Reflected Fields;150
9.2;6.2 Perfectly Reflecting Surface;152
9.3;6.3 Dielectric Half-Space;157
9.4;6.4 Scattering from a Sphere on a Dielectric Substrate;163
9.5;6.5 Aggregated Spheres on a Dielectric Substrate;168
9.6;6.6 Perfectly Reflecting vs. Dielectric Surface: Similarities and Differences;173
9.7;6.7 Total Internal Reflection and Evanescent Waves;174
10;7 Applications: Aggregated Spheres, Layered Spheres, and Spheres Containing Inclusions;178
10.1;7.1 General Features of Scattering from Aggregated Spheres;179
10.2;7.2 Clusters of Large Spheres;192
10.3;7.3 Clusters in an Electrostatic Field;203
10.4;7.4 Extinction from Single and Aggregated Layered Spheres;209
10.5;7.5 Spheres Sustaining the Propagation of Longitudinal Waves;218
10.6;7.6 Spheres Containing Inclusions;221
10.7;7.7 Spheres with Cavities and Depolarization of the Internal Field;237
10.8;7.8 Correlation Spectroscopy;241
10.9;7.9 Radiation Force on Aggregates of Spheres;246
10.10;7.10 Radiation Torque on Aggregated Spheres;252
10.11;7.11 Thermal Emission Force on Aggregated Spheres;255
11;8 Applications: Single and Aggregated Spheres and Hemispheres on a Plane Interface;258
11.1;8.1 Aggregated Spheres and Hemispheres on a Metallic Surface;258
11.2;8.2 Inclusion-Containing Hemispheres on a Metallic Surface;265
11.3;8.3 Resonance Suppression Mechanism;271
11.4;8.4 Particles on a Dielectric Substrate;277
11.5;8.5 Scattering of Evanescent Waves;290
12;9 Applications: Atmospheric Ice Crystals;295
12.1;9.1 Properties of Atmospheric Ice Crystals in the Infrared;295
12.2;9.2 Ice Crystals in the mm Wave Range;301
13;10 Applications: Cosmic Dust Grains;310
13.1;10.1 Interstellar Dust;310
13.2;10.2 Modeling Cosmic Dust Grains as Aggregates;312
13.3;10.3 Fluffy Particles;317
13.4;10.4 Radiation Pressure on Fluffy Cosmic Dust Grains;324
13.5;10.5 Ultraviolet Radiation Within Grain Cavities;330
14;A Appendix;341
14.1;A.1 Bessel and Hankel Functions;341
14.2;A.2 Spherical Harmonics;342
14.3;A.3 Clebsch–Gordan Coefficients;343
14.4;A.4 Rotation Matrices D(l);344
14.5;A.5 Calculating M 1, H 1, and H 1;344
14.6;A.6 General Approach to the Computational Problem;344
15;References;346
16;Index;354



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