Light Scattering by Systems of Particles

by Doicu, Adrian; Wriedt, Thomas; Eremin, Yuri A.

• ISBN13: 9783540336969
• ISBN10: 3540336966
• Edition: CD
• Format: Hardcover
• Copyright: 2006-11-30
• Publisher: Springer Verlag

Summary

Light Scattering by Systems of Particles comprehensively develops the theory of the null-field method, while covering almost all aspects and current applications. The Null-field Method with Discrete Sources is an extension of the Null-field Method (also called T-Matrix Method) to compute light scattering by arbitrarily shaped dielectric particles. It also incorporates FORTRAN programs and exemplary simulation results that demonstrate all aspects of the latest developments of the method. The FORTRAN source programs included on the enclosed CD exemplify the wide range of application of the T-matrix method. Worked examples of the application of the FORTRAN programs show readers how to adapt or modify the programs for his specific application.

Author Biography

Adrian Doicu is Research Scientist at the Remote Sensing Technology Institute, DLR Deutsches Zentrum f++r Luft- und Raumfahrt e. V., Oberpfaffenhofen, Germany, prior to this he was Research Scientists at the Department of Chemical and Process Engineering, University of Bremen, Bremen, Germany. Thomas Wriedt is Head of the Particle Technology and Particle Characterization Department of the Institut f++r Werkstofftechnik, Bremen, Germany.Yuri Eremin is Research Professor at the Applied Mathematics and Computer Science Faculty, Moscow State University, Moscow, Russia.

Table of Contents

1 Basic Theory of Electromagnetic Scattering	1	(82)
1.1 Maxwell's Equations and Constitutive Relations	1	(8)
1.2 Incident Field	9	(12)
1.2.1 Polarization	9	(6)
1.2.2 Vector Spherical Wave Expansion	15	(6)
1.3 Internal Field	21	(12)
1.3.1 Anisotropic Media	22	(8)
1.3.2 Chiral Media	30	(3)
1.4 Scattered Field	33	(24)
1.4.1 Stratton–Chu Formulas	34	(6)
1.4.2 Far-Field Pattern and Amplitude Matrix	40	(4)
1.4.3 Phase and Extinction Matrices	44	(4)
1.4.4 Extinction, Scattering and Absorption Cross-Sections	48	(5)
1.4.5 Optical Theorem	53	(1)
1.4.6 Reciprocity	54	(3)
1.5 Transition Matrix	57	(26)
1.5.1 Definition	58	(3)
1.5.2 Unitarity and Symmetry	61	(5)
1.5.3 Randomly Oriented Particles	66	(17)
2 Null-Field Method	83	(100)
2.1 Homogeneous and Isotropic Particles	84	(18)
2.1.1 General Formulation	85	(4)
2.1.2 Instability	89	(4)
2.1.3 Symmetries of the Transition Matrix	93	(2)
2.1.4 Practical Considerations	95	(2)
2.1.5 Surface Integral Equation Method	97	(2)
2.1.6 Spherical Particles	99	(3)
2.2 Homogeneous and Chiral Particles	102	(2)
2.3 Homogeneous and Anisotropic Particles	104	(1)
2.4 Inhomogeneous Particles	105	(10)
2.4.1 Formulation with Addition Theorem	106	(6)
2.4.2 Formulation without Addition Theorem	112	(3)
2.5 Layered Particles	115	(9)
2.5.1 General Formulation	115	(3)
2.5.2 Practical Formulation	118	(2)
2.5.3 Formulation with Discrete Sources	120	(2)
2.5.4 Concentrically Layered Spheres	122	(2)
2.6 Multiple Particles	124	(15)
2.6.1 General Formulation	124	(7)
2.6.2 Formulation for a System with Ai Particles	131	(1)
2.6.3 Superposition T-matrix Method	132	(4)
2.6.4 Formulation with Phase Shift Terms	136	(1)
2.6.5 Recursive Aggregate T-matrix Algorithm	137	(2)
2.7 Composite Particles	139	(7)
2.7.1 General Formulation	139	(4)
2.7.2 Formulation for a Particle with Ai Constituents	143	(2)
2.7.3 Formulation with Discrete Sources	145	(1)
2.8 Complex Particles	146	(2)
2.9 Effective Medium Model	148	(16)
2.9.1 T-matrix Formulation	150	(9)
2.9.2 Generalized Lorentz–Lorenz Law	159	(2)
2.9.3 Generalized Ewald–Oseen Extinction Theorem	161	(1)
2.9.4 Pair Distribution Functions	162	(2)
2.10 Particle on or near an Infinite Surface	164	(19)
2.10.1 Particle on or near a Plane Surface	164	(9)
2.10.2 Particle on or near an Arbitrary Surface	173	(10)
3 Simulation Results	183	(70)
3.1 T-matrix Program	183	(5)
3.1.1 Complete Uniform Distribution Function	185	(1)
3.1.2 Incomplete Uniform Distribution Function	186	(2)
3.2 Electromagnetics Programs	188	(13)
3.2.1 T-matrix Programs	188	(1)
3.2.2 MMP Program	189	(3)
3.2.3 DDSCAT Program	192	(6)
3.2.4 CST Microwave Studio Program	198	(3)
3.3 Homogeneous, Axisymmetric and Nonaxisymmetric Particles	201	(20)
3.3.1 Axisymmetric Particles	201	(11)
3.3.2 Nonaxisymmetric Particles	212	(4)
3.3.3 Triangular Surface Patch Model	216	(5)
3.4 Inhomogeneous Particles	221	(4)
3.5 Layered Particles	225	(5)
3.6 Multiple Particles	230	(8)
3.7 Composite Particles	238	(4)
3.8 Complex Particles	242	(3)
3.9 Particle on or Near a Plane Surface	245	(1)
3.10 Effective Medium Model	246	(7)
A Spherical Functions	253	(8)
A.1 Spherical Bessel Functions	254	(2)
A.2 Legendre Functions	256	(5)
B Wave Functions	261	(28)
B.1 Scalar Wave Functions	261	(4)
B.2 Vector Wave Functions	265	(5)
B.3 Rotations	270	(6)
B.4 Translations	276	(13)
C Computational Aspects in Effective Medium Theory	289	(6)
C.1 Computation of the Integral I¹mm'n''	289	(3)
C.2 Computation of the Integral I²mm'n''	292	(1)
C.3 Computation of the Terms S¹1nn' and S²1nn'	293	(2)
D Completeness of Vector Spherical Wave Functions	295	(8)
References	303	(14)
Index	317