ISBN: 3-540-66937-X
TITLE: Light Scattering from Microstructures
AUTHOR: Moreno, Fernando; Gonzlez, Francisco (Eds.)
TOC:

1 Introduction to Light Scattering from Microstructures 1
F. Gonzlez and F. Moreno
1 Electromagnetic Theory 2
2 Isolated Regular Particles 4
3 Isolated Irregular Particles 5
4 Microstructures on Surfaces 9
Part I. Theory
2 Heaviside Operational Calculus and Electromagnetic Image Theory 23
I.V. Lindell
1 The Image Principle 23
2 Heaviside Calculus 25
3 Transmission-Line Theory 26
4 Time-Harmonic Planar Problems 29
5 Slightly Rough Interface 32
6 Other Structures with Image Solutions 35
3 Mathematical Methods for Data Inversion 41
E.R. Pike, G. Hester, B. McNally and G.D. de Villiers
1 Overview 41 
2 The Basic Physics 42
3 Experimental Methods and the Photon Correlation Function 44
4 Mean Particle Diameter, Polydispersity and Higher-Order Moments 46
5 Singular Value Decomposition and Exponential Sampling 48
6 Removal of the Background 50
7 The Primal Method of Mathematical Programming 52
8 The Dual Problem and its Solution 55
9 Results 57
10 Conclusions 59
11 Acknowledgements 60
4 Mueller Matrices 63
J. J. Gil
1 Introduction 63
2 Basic Transformation of Polarization 64
3 Polar Decomposition of Pure Matrices 67
4 Mueller Matrices for Incoherent Scattering 70
5 Parallel Decomposition of Mueller Matrices 72
6 Mueller Matrices and Stokes Matrices 74
7 Transmittance Condition 74
8 Purity Criterion and Purity Index 75 
Part II. Scattering by Particles on Substrates. Numerical Methods
5 Light Scattering from a Sphere Near a Plane Interface 81
G. Videen
1 Scattering System 81
2 Field Expansions 83
3 Incident Field 84
4 Fields at the Spherical Interface 86
5 Translation Addition Theorem 88
6 Plane Interface 91
7 Scattered Field 93
8 Conclusion 94
6 Electromagnetic Scattering by Cylindrical Objects on Generic Planar Substrates: Cylindrical-Wave Approach 97
R. Borghi, F. Frezza, M. Santarsiero, G. Schettini
1 Introduction 97
2 Preliminaries 99
3 Scattering from Perfectly Conducting Cylinders 100
4 Generalization to Dielectric Cylinders 104
5 General Incident Fields 106
6 Applications 108
7 T-Matrix Method for Light Scattering from a Particle on or Near an Infinite Surface 113
T. Wriedt and A. Doicu
1 Introduction 113
2 Geometry of the Scattering Problem 114
3 Scattering by Infinite Surfaces 115
4 T-Matrix Method 123
Part III. Scattering of Polarized Light
8 Properties of a Polarized Light-Beam Multiply Scattered by a Rayleigh Medium 135
K.I. Hopcraft, P.C.Y. Chang, J.G. Walker and E. Jakeman
1 Introduction 135
2 Description of Model 137
3 Simulation Results and Discussion 144
4 Spatial, Angular and Path-Length Histograms 147
5 Summary and Conclusions 151
A Appendix: Scattering Geometry and Derivation of the Phase Function 155
9 Polarization and Depolarization of Light 159
M.I. Mishchenko and L.D. Travis
1 Introduction 159
2 Single Scattering 161
3 Multiple Scattering 166
4 Particle Characterization and Remote Sensing 170
5 Acknowledgments172
Part IV. Statistics of the Scattered Light
10 Polarisation Fluctuations in Light Scattered by Small Particles 179
E. Jakeman
1 Introduction 179
2 Gaussian and Non-Gaussian Scattering 180
3 Polarisation in the Random Walk Model 182
4 Discussion of Theoretical Predictions 184
5 Conclusions 188
6 Acknowledgements 189
11 Intensity Statistics of the Light Scattered by Particles on Surfaces 191
E.M. Ortiz, F. Gonzlez and F. Moreno
1 Introduction 191
2 The Scattering Model 192
3 Intensity Fluctuations. Non-interacting Particles 195
4 Particle Interaction. A Simple Model 197
5 Intensity Fluctuations. Interacting Particles 201
6 Acknowledgments 210
Part V. Applications
12 Microstructures in Rough Metal Surfaces:
Electromagnetic Mechanism in Surface-Enhanced Raman Spectroscopy 215
J. A. Snchez-Gil, J. V. Garca-Ramos, E. R. Mndez
1 Introduction 215
2 EM Scattering Theory 218
3 Fractal Surface Model 220
4 Near EM Field 221
5 Surface EM Field Enhancement 225
6 Far Field 230
7 Concluding Remarks 232
8 Perspectives 233
9 Acknowledgement 234
13 Light Scattering by Particles and Defects on Surfaces: Semiconductor Wafer Inspection 237
B.M. Nebeker and E.D. Hirleman
1 Introduction 237
2 Literature Survey 239
3 The Discrete-Dipole Approximation Method 242
4 Application of the DDA Method and Comparison with Experimental Results 247
5 Conclusions 249
14 From Scattering to Waveguiding: Photonic Crystal Fibres 253
J. C. Knight, T. A. Birks, R. F. Cregan, J. Broeng and P. St. J. Russell
1 Introduction 253
2 Scattering in Periodically Microstructured Materials 254
3 Scattering from Photonic Crystal Fibres 256
4 Design and Fabrication of Photonic Crystal Fibre Waveguides 260
5 Waveguiding by Total Internal Reflection from an Effective Index Structure 261
6 Band GapWaveguiding 263
7 Conclusions 265
8 Acknowledgements 266
15 The Angular Distribution of Light Emitted by Sonoluminescent Bubbles 269
A. Madrazo, M. Nieto-Vesperinas and N. Garca
1 Tutorial Background 269
2 Distribution of Radiated Light and Angular Correlations 277
3 Conclusions 282
16 Light Scattering by Regular Particles on Flat Substrates 285
J.M. Saiz, J.L. de la Pea, P.J. Valle, F. Gonzlez and F. Moreno
1 Introduction 285
2 Theory 286
3 Application of the Model: a Particle Sizing Technique 289
4 Conclusions 299
5 Acknowledgments 299
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