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Random Media and Boundaries: Unified Theory, Two-Scale Method, and Applications Book

Random Media and Boundaries: Unified Theory, Two-Scale Method, and Applications
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Random Media and Boundaries: Unified Theory, Two-Scale Method, and Applications, For a system consisting of a random medium with rough boundaries, the governing (Bethe-Salpeter) equation for boundary-value transport problems can be written in a form such that the medium and the boundaries are treatedon an equal footing. This enables s, Random Media and Boundaries: Unified Theory, Two-Scale Method, and Applications
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  • Random Media and Boundaries: Unified Theory, Two-Scale Method, and Applications
  • Written by author Koichi Furutsu
  • Published by Springer-Verlag New York, LLC, 12/30/2011
  • For a system consisting of a random medium with rough boundaries, the governing (Bethe-Salpeter) equation for boundary-value transport problems can be written in a form such that the medium and the boundaries are treatedon an equal footing. This enables s
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1 Operator Representation of a Random Medium 1
1.1 Single Random Quantity 1
1.2 N Discrete Random Quantities 5
1.3 Random Function in Space 6
1.4 Multi-Component Random Medium 8
2 Waves in a Homogeneously Random Medium 9
2.1 Operator Representation of Statistical Green's Functions in a Medium of Independent Particles 9
2.2 Green's Functions of First and Second Orders 11
2.3 Bethe-Salpeter Equation in a General Random Medium 15
2.4 Random Layer with Free Boundaries 22
2.5 Eigenfunction Expansions and Diffusion Approximation 27
3 Random Rough Boundaries 43
3.1 Rough Surface (One-Sided Boundary) 43
3.2 Statistical Green's Functions of First and Second Orders 66
3.3 Transmissible (Two-Sided) Rough Boundary 85
4 System of Random Media and Rough Boundaries 113
4.1 Bethe-Salpeter Equation for the Entire System and Scattering Matrices 113
4.2 Effective Boundary Scattering Matrices in a Random Medium and Construction of Solutions 127
5 Optical Cross Sections of a Random Layer 147
5.1 Construction of the Cross Sections 147
5.2 Application of the Diffusion Approximation 155
6 Fixed Scatterer 171
6.1 Basic Equations 171
6.2 Power Equations and Optical Relations 179
6.3 Optical Cross Section and Shadowing Effect 180
6.4 Observation of a Fixed Scatterer Embedded in a Semi-Infinite Random Layer 182
7 Forward Scattering Approximation 185
7.1 Moment Equations of a Light Wave in a Turbulent Medium 185
7.2 Solutions of the Moment Equations 194
7.3 High Order Intensity Moments and the Cluster Approximation 207
7.4 Probability Distribution Function of Intensity 216
7.5 Two-Scale Method 235
References 263
Bibliography 266
Subject Index 267


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Random Media and Boundaries: Unified Theory, Two-Scale Method, and Applications, For a system consisting of a random medium with rough boundaries, the governing (Bethe-Salpeter) equation for boundary-value transport problems can be written in a form such that the medium and the boundaries are treatedon an equal footing. This enables s, Random Media and Boundaries: Unified Theory, Two-Scale Method, and Applications

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Random Media and Boundaries: Unified Theory, Two-Scale Method, and Applications, For a system consisting of a random medium with rough boundaries, the governing (Bethe-Salpeter) equation for boundary-value transport problems can be written in a form such that the medium and the boundaries are treatedon an equal footing. This enables s, Random Media and Boundaries: Unified Theory, Two-Scale Method, and Applications

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Random Media and Boundaries: Unified Theory, Two-Scale Method, and Applications, For a system consisting of a random medium with rough boundaries, the governing (Bethe-Salpeter) equation for boundary-value transport problems can be written in a form such that the medium and the boundaries are treatedon an equal footing. This enables s, Random Media and Boundaries: Unified Theory, Two-Scale Method, and Applications

Random Media and Boundaries: Unified Theory, Two-Scale Method, and Applications

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