Waves in Layered Media

Opis

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.

Spis treści

Front Cover 2
Waves in Layered Media 5
Copyright Page 6
Table of Contents 7
Translator's Preface to Second Edition 11
Preface to Second Edition 13
Preface to First Edition 15
Chapter I. Plane Waves in Discretely Layered Media 19
- 1. Plane Waves in Discretely Layered Media 22
- 2. Reflection of a Plane Sound Wave from an Interface 23
- 3. Reflection from a Plane Layer and a System of Layers 33
- 4. Reflection and Refraction of Electromagnetic Waves 44
- 5. Waves in Elastic Media. General Considerations 49
- 6. Waves in an Elastic Half-Space with Free Boundaries 52
- 7. Boundary of Elastic and Liquid Half-Spaces 59

Front Cover 2
Waves in Layered Media 5
Copyright Page 6
Table of Contents 7
Translator's Preface to Second Edition 11
Preface to Second Edition 13
Preface to First Edition 15
Chapter I. Plane Waves in Discretely Layered Media 19
- 1. Plane Waves in Discretely Layered Media 22
- 2. Reflection of a Plane Sound Wave from an Interface 23
- 3. Reflection from a Plane Layer and a System of Layers 33
- 4. Reflection and Refraction of Electromagnetic Waves 44
- 5. Waves in Elastic Media. General Considerations 49
- 6. Waves in an Elastic Half-Space with Free Boundaries 52
- 7. Boundary of Elastic and Liquid Half-Spaces 59
- 8. Reflection from the Boundary of Elastic Media and from a System of Elastic Layers 68
- 9. Free Waves in Plates 78
- 10. Reflection of a Sound Wave from a Plate and the Penetration of it through the Plate 88
- 11. Thin Plate Approximation 94
- 12. Elastic Properties of Finely Layered Media 99
- 13. Electromagnetic Waves in Finely Layered Media 112
- 14. Reflection of Bounded Beams 119
- 15. Reflection of Pulses 136
Chapter II Some Applications of the Theory of Wave Propagation in Discretely Layered Media 148
- 16. Reflection Reduction of Optical Systems 148
- 17. Interference Light Filters 160
- 18. Layered Sound Insulators 169
Chapter III. Waves in Continuously Layered Media 179
- 19. Equations of Acoustic and Electromagnetic Fields in an Inhomogeneous Medium 179
- 20. Reflection of a Wave from the Epstein Layer 182
- 21. Reflection of a Wave from a Half-Space with a Linear Law for the Square of the Index of Refraction 199
- 22. Review of the Important Solutions 206
- 23. Geometrical Optics. The WKB Approximation 210
- 24. Concept of Reference Equations. The Field in the Presence of a Turning Point 218
- 25. Reflection of a Wave from a Layer with an Arbitrary Law for Change in Parameters 226
Chapter IV. Reflection and Refraction of Spherical Waves 243
- 26. Spherical Waves 243
- 27. Method of Steepest Descent. Reference Integrals 252
- 28. Analysis of the Field of the Reflected Wave 259
- 29. Vertical Dipole. The Weyl–Van der Pol Formula 270
- 30. Lateral Waves 273
- 31. Field in the Region Close to the Angle of Total Internal Reflection 284
- 32. Refraction of Spherical Waves 294
- 33. Reflection and Refraction of a Spherical Wave at the Interface between Two Elastic Media 304
Chapter V. The Field of a Point Source of Waves in Layered Inhomogeneous Media 317
- 34. A Layer with Perfectly Reflecting Boundaries. Picture of Image Sources and Rays 317
- 35. A Layer with Perfectly Reflecting Boundaries. Normal Modes 323
- 36. A Layer with Arbitrary Boundaries 332
- 37. Sound Waves in a Two-Layered Liquid 343
- 38. Propagation of a Pulse in a Layer with Perfectly Reflecting Boundaries 356
- 39. Propagation of a Pulse in a Two-Layered Liquid 366
- 40. Sound Propagation in a Three-Layered Medium 379
- 41. Waves in a Liquid Layer Lying on a Homogeneous Elastic Half-Space 384
- 42. Normal Modes in an Elastic Layer 387
Chapter VI. The Field of a Point Source in a Continuously Layered Medium. Ray Treatment 390
- 43. Waveguide Propagation in Continuously Layered Media 390
- 44. Ray Theory as a Limiting Case of Wave Theory 401
- 45. Asymptote of the Field in the Vicinity of a Caustic 406
- 46. The Caustic in the Reflection of a Spherical Wave from an Inhomogeneous Half-Space 422
Chapter VII. Exact Theory of Waveguide Propagation in Continuously Layered Media. Normal Modes 427
- 47. General Expressions for Fields in Continuously Layered Media in the Presence of a Waveguide 427
- 48. Waveguide with a Linear Law for the Square of the Index of Refraction 433
- 49. Waveguide with the Epstein Law 441
- 50. Surface Waveguide in a Solid 449
Chapter VIII. Propagation of Waves in a Waveguide That is Inhomogeneous along Its Route 459
- 51. Inhomogeneous Waveguide. A Special Case 459
- 52. High Frequency Asymptote of the Field in an Inhomogeneous Waveguide 468
- 53. Low Frequency Asymptote of the Field in a Waveguide. Method of Transverse Cross Sections 477
Chapter IX. Antiwaveguide Propagation of Waves in Continuously Layered Media 481
- 54. Field in the Presence of a Geometrical Shadow 482
- 55. Velocity Gradient at the Boundary 492
References 497
Supplementary Bibliography 508
INDEX 515

Pokaż więcej

Opis

Spis treści

Recenzje (0)