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

Random Media and Boundaries Unified Theory, Two-Scale Method, and Applications / by Koichi Furutsu.

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 several expressions for the solution to be obt...

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Bibliographic Details
Main Author: Furutsu, Koichi (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993.
Edition:1st ed. 1993.
Series:Springer Series on Wave Phenomena, 14
Springer eBook Collection.
Subjects:
Quantum physics.
Acoustics.
Statistical physics.
Dynamical systems.
Quantum computers.
Spintronics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Operator Representation of a Random Medium
  • 1.1 Single Random Quantity
  • 1.2 N Discrete Random Quantities
  • 1.3 Random Function in Space
  • 1.4 Multi-Component Random Medium
  • 2 Waves in a Homogeneously Random Medium
  • 2.1 Operator Representation of Statistical Green’s Functions in a Medium of Independent Particles
  • 2.2 Green’s Functions of First and Second Orders
  • 2.3 Bethe-Salpeter Equation in a General Random Medium
  • 2.4 Random Layer with Free Boundaries
  • 2.5 Eigenfunction Expansions and Diffusion Approximation
  • 3 Random Rough Boundaries
  • 3.1 Rough Surface (One-Sided Boundary)
  • 3.2 Statistical Green’s Functions of First and Second Orders
  • 3.3 Transmissible (Two-Sided) Rough Boundary
  • 4 System of Random Media and Rough Boundaries
  • 4.1 Bethe-Salpeter Equation for the Entire System and Scattering Matrices
  • 4.2 Effective Boundary Scattering Matrices in a Random Medium and Construction of Solutions
  • 5 Optical Cross Sections of a Random Layer
  • 5.1 Construction of the Cross Sections
  • 5.2 Application of the Diffusion Approximation
  • 6 Fixed Scatterer
  • 6.1 Basic Equations
  • 6.2 Power Equations and Optical Relations
  • 6.3 Optical Cross Section and Shadowing Effect
  • 6.4 Observation of a Fixed Scatterer Embedded in a Semi-Infinite Random Layer
  • 7 Forward Scattering Approximation
  • 7.1 Moment Equations of a Light Wave in a Turbulent Medium 185 7.1.1 Turbulent Medium of Kolmogorov Spectrum
  • 7.2 Solutions of the Moment Equations
  • 7.3 High Order Intensity Moments and the Cluster Approximation
  • 7.4 Probability Distribution Function of Intensity
  • 7.5 Two-Scale Method
  • References.

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