Waves in Layered Media

Waves in Layered Media

2nd Edition - May 28, 1976

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  • Author: L Brekhovskikh
  • eBook ISBN: 9780323161626

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Description

Waves in Layered Media discusses different theories about the relationship between waves and media. The book specifically covers several factors that can affect the behavior and formation of various kinds of waves in different types of media. Comprised of nine chapters, the book establishes the fundamentals by first tackling simplest concepts, such as the behavior plane wave and discretely layered media. The succeeding chapters cover much more complex ideas, such as the refraction and reflection of waves, spherical wave, and wave in inhomogeneous media. The book will be a great asset to researchers whose work involves acoustics, or to professionals whose line of work involves sound waves.

Table of Contents


  • Translator's Preface to Second Edition

    Preface to Second Edition

    Preface to First Edition

    Chapter I. Plane Waves in Discretely Layered Media

    1. Plane Waves in Homogeneous Unbounded Media

    2. Reflection of a Plane Sound Wave from an Interface

    3. Reflection from a Plane Layer and a System of Layers

    4. Reflection and Refraction of Electromagnetic Waves

    5. Waves in Elastic Media. General Considerations

    6. Waves in an Elastic Half-Space with Free Boundaries

    7. Boundary of Elastic and Liquid Half-Spaces

    8. Reflection from the Boundary of Elastic Media and from a System of Elastic Layers

    9. Free Waves in Plates

    10. Reflection of a Sound Wave from a Plate and the Penetration of It through the Plate

    11. Thin Plate Approximation

    12. Elastic Properties of Finely Layered Media

    13. Electromagnetic Waves in Finely Layered Media

    14. Reflection of Bounded Beams

    15. Reflection of Pulses

    Chapter II. Some Applications of the Theory of Wave Propagation in Discretely Layered Media

    16. Reflection Reduction of Optical Systems

    17. Interference Light Filters

    18. Layered Sound Insulators

    Chapter III. Waves in Continuously Layered Media

    19. Equations of Acoustic and Electromagnetic Fields in an Inhomogeneous Medium

    20. Reflection of a Wave from the Epstein Layer

    21. Reflection of a Wave from a Half-Space with a Linear Law for the Square of the Index of Refraction

    22. Review of the Important Solutions

    23. Geometrical Optics. The WKB Approximation

    24. Concept of Reference Equations. The Field in the Presence of a Turning Point

    25. Reflection of a Wave from a Layer with an Arbitrary Law for Change in Parameters

    Chapter IV. Reflection and Refraction of Spherical Waves

    26. Spherical Waves

    27. Method of Steepest Descent. Reference Integrals

    28. Analysis of the Field of the Reflected Wave

    29. Vertical Dipole. The Weyl-Van der Pol Formula

    30. Lateral Waves

    31. Field in the Region Close to the Angle of Total Internal Reflection

    32. Refraction of Spherical Waves

    33. Reflection and Refraction of a Spherical Wave at the Interface between Two Elastic Media

    Chapter V. The Field of a Point Source of Waves in Layered Inhomogeneous Media

    34. A Layer with Perfectly Reflecting Boundaries. Picture of Image Sources and Rays

    35. A Layer with Perfectly Reflecting Boundaries. Normal Modes

    36. A Layer with Arbitrary Boundaries

    37. Sound Waves in a Two-Layered Liquid

    38. Propagation of a Pulse in a Layer with Perfectly Reflecting Boundaries

    39. Propagation of a Pulse in a Two-Layered Liquid

    40. Sound Propagation in a Three-Layered Medium

    41. Waves in a Liquid Layer Lying on a Homogeneous Elastic Half-Space

    42. Normal Modes in an Elastic Layer

    Chapter VI. The Field of a Point Source in a Continuously Layered Medium. Ray Treatment

    43. Waveguide Propagation in Continuously Layered Media

    44. Ray Theory as a Limiting Case of Wave Theory

    45. Asymptote of the Field in the Vicinity of a Caustic

    46. The Caustic in the Reflection of a Spherical Wave from an Inhomogeneous Half-Space

    Chapter VII. Exact Theory of Waveguide Propagation in Continuously Layered Media. Normal Modes

    47. General Expressions for Fields in Continuously Layered Media in the Presence of a Waveguide

    48. Waveguide with a Linear Law for the Square of the Index of Refraction

    49. Waveguide with the Epstein Law

    50. Surface Waveguide in a Solid

    Chapter VIII. Propagation of Waves in a Waveguide That is Inhomogeneous along Its Route

    51. Inhomogeneous Waveguide. A Special Case

    52. High Frequency Asymptote of the Field in an Inhomogeneous Waveguide

    53. Low Frequency Asymptote of the Field in a Waveguide. Method of Transverse Cross Sections

    Chapter IX. Antiwaveguide Propagation of Waves in Continuously Layered Media

    54. Field in the Presence of a Geometrical Shadow

    55. Velocity Gradient at the Boundary

    References

    Supplementary Bibliography

    Index


Product details

  • No. of pages: 520
  • Language: English
  • Copyright: © Academic Press 1976
  • Published: May 28, 1976
  • Imprint: Academic Press
  • eBook ISBN: 9780323161626

About the Author

L Brekhovskikh

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