Random Media and Boundaries

1. Front Matter

   Pages I-IX

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2. Operator Representation of a Random Medium

   • Koichi Furutsu

   Pages 1-8

3. Waves in a Homogeneously Random Medium

   • Koichi Furutsu

   Pages 9-41

4. Random Rough Boundaries

   • Koichi Furutsu

   Pages 43-112

5. System of Random Media and Rough Boundaries

   • Koichi Furutsu

   Pages 113-145

6. Optical Cross Sections of a Random Layer

   • Koichi Furutsu

   Pages 147-170

7. Fixed Scatterer

   • Koichi Furutsu

   Pages 171-184

8. Forward Scattering Approximation

   • Koichi Furutsu

   Pages 185-262

9. Back Matter

   Pages 263-270

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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 obtained by interchanging the roles of the medium and the boundaries, thus allowing the most convenient one to be selected according to the specific situation and the information required. This book presents a unified theory based on the Bethe-Salpeter equation with particular attention being paid to: boundary-value problems of transport, layer problems, a fixed scatterer imbedded in a bounded random medium, construction of an optical scattering matrix for a complete system, and optical wave propagation in a turbulent medium. The last topic is treated in terms of first moment equations combined with the cluster expansion and, second, the two-scale method based on the Lagrange variational principle.

• Atmospheric Optics
• Bethe-Salpeter Equation
• Random Media and Boundaries
• Transport
• condensed matter
• wave

• Musashi-Murayama, Tokyo, Japan

  Koichi Furutsu

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