Chapter 15. The Classical Connection

Kapitel in diesem Buch

1. Frontmatter i
2. Contents vii
3. Preface xvii
4. Acknowledgments xxiii
5. Chapter 1. Introduction 1
6. Part I. Rays
7. Chapter 2. Introduction to the “Physics” of Rays 17
8. Chapter 3. Introduction to the Mathematics of Rays 33
9. Chapter 4. Ray Optics: The Classical Rainbow 76
10. Chapter 5. An Improvement over Ray Optics: Airy’s Rainbow 95
11. Chapter 6. Diffraction Catastrophes 113
12. Chapter 7. Introduction to the WKB(J) Approximation: All Things Airy 137
13. Chapter 8. Island Rays 162
14. Chapter 9. Seismic Rays 173
15. Part II. Waves
16. Chapter 10. Elastic Waves 189
17. Chapter 11. Surface Gravity Waves 200
18. Chapter 12. Ocean Acoustics 237
19. Chapter 13. Tsunamis 255
20. Chapter 14. Atmospheric Waves 273
21. Part III. Classical Scattering
22. Chapter 15. The Classical Connection 301
23. Chapter 16. Gravitational Scattering 316
24. Chapter 17. Scattering of Surface Gravity Waves by Islands, Reefs, and Barriers 332
25. Chapter 18. Acoustic Scattering 348
26. Chapter 19. Electromagnetic Scattering: The Mie Solution 371
27. Chapter 20. Diffraction of Plane Electromagnetic Waves by a Cylinder 397
28. Part IV. Semiclassical Scattering
29. Chapter 21. The Classical-to-Semiclassical Connection 415
30. Chapter 22. The WKB(J) Approximation Revisited 434
31. Chapter 23. A Sturm-Liouville Equation: The Time-Independent One-Dimensional Schrödinger Equation 459
32. Part V. Special Topics in Scattering Theory
33. Chapter 24. The S-Matrix and Its Analysis 477
34. Chapter 25. The Jost Solutions: Technical Details 491
35. Chapter 26. One-Dimensional Jost Solutions: The S-Matrix Revisited 504
36. Chapter 27. Morphology-Dependent Resonances: The Effective Potential 512
37. Chapter 28. Back Where We Started 523
38. Appendices 537
39. Bibliography 567
40. Index 585