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Stochastic wave propagation /
This is a concise, unified exposition of the existing methods of analysis of linear stochastic waves with particular reference to the most recent results. Both scalar and vector waves are considered. Principal attention is concentrated on wave propagation in stochastic media and wave scattering at s...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Polaco |
| Publicado: |
Amsterdam ; New York :
Elsevier,
1985.
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| Colección: | Fundamental studies in engineering ;
6. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Stochastic Wave Propagation; Copyright Page; Preface; Table of Contents; Introduction; Chapter I. Mathematical Preliminaries; 1. Probability and Random Variables; 2. Random Functions; 3. Stochastic Differential Equations; 4. Functional Derivatives; Chapter II. Stochastic Media; Models and Analysis; 5. Introduction. Phenomenological Deterministic Models; 6. Stochastic Media; 7. Homogenization; Effective Parameters; 8. Hierarchy Equations for Moments; 9. Equations for the Mean Field; the Dyson Equation; 10. The Bethe-Salpeter Equation
- Chapter III. Wave Propagation in Continuous Stochastic Media11. Introduction; 12. Method of Small Perturbations; the Born Approximation; 13. Geometrical Optics in a Stochastic Medium; 14. Rytov Method and Its Validity; 15. Diffusion (Parabolic) Approximation; 16. Smoothing Method; Effective Parameters; 17. Reflection and Transmission by a Bounded Stochastic Medium; 18. Functional Approach to Stochastic Wave Analysis; 19. Perturbation Theory a�d the Diagram Technique; 20. On Probability Distributions of a Scattered Field; 21. Other Related Problems
- Chapter IV. Wave Propagation in Discrete Stochastic Media22. Introduction; 23. Scalar Waves; Foldy's Approximation; 24. Elastic Vector Waves; Random Distribution of Inclusions; 25. Wave Propagation in Layered Stochastic Media; 26. Reverberation Processes; 27. Other Related Problems; Chapter V. Scattering of Waves at Stochastic Surfaces; 28. Introduction; 29. Wave Scattering at Rough Surfaces; Basic Methods; 30. Scattering of Scalar Waves; the Kirchhoff Method; 31. Scattering of Elastic Rayleigh Waves; the Method of Small Perturbations; 32. Reflection from Surfaces with Random Impedance
- 33. Other Related ProblemsBibliography; Subject Index