Rays, Waves, and Scattering : : Topics in Classical Mathematical Physics /

Rays, Waves, and Scattering : : Topics in Classical Mathematical Physics / / John A. Adam.

This one-of-a-kind book presents many of the mathematical concepts, structures, and techniques used in the study of rays, waves, and scattering. Panoramic in scope, it includes discussions of how ocean waves are refracted around islands and underwater ridges, how seismic waves are refracted in the e...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Series in Applied Mathematics eBook-Package
VerfasserIn:
Adam, John A.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2017]
©2017
Year of Publication:2017
Language:English
Series:Princeton Series in Applied Mathematics ; 56
Online Access:
Physical Description:1 online resource (616 p.) :; 126 line illus.
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • Acknowledgments
  • Chapter 1. Introduction
  • Part I. Rays
  • Chapter 2. Introduction to the "Physics" of Rays
  • Chapter 3. Introduction to the Mathematics of Rays
  • Chapter 4. Ray Optics: The Classical Rainbow
  • Chapter 5. An Improvement over Ray Optics: Airy's Rainbow
  • Chapter 6. Diffraction Catastrophes
  • Chapter 7. Introduction to the WKB(J) Approximation: All Things Airy
  • Chapter 8. Island Rays
  • Chapter 9. Seismic Rays
  • Part II. Waves
  • Chapter 10. Elastic Waves
  • Chapter 11. Surface Gravity Waves
  • Chapter 12. Ocean Acoustics
  • Chapter 13. Tsunamis
  • Chapter 14. Atmospheric Waves
  • Part III. Classical Scattering
  • Chapter 15. The Classical Connection
  • Chapter 16. Gravitational Scattering
  • Chapter 17. Scattering of Surface Gravity Waves by Islands, Reefs, and Barriers
  • Chapter 18. Acoustic Scattering
  • Chapter 19. Electromagnetic Scattering: The Mie Solution
  • Chapter 20. Diffraction of Plane Electromagnetic Waves by a Cylinder
  • Part IV. Semiclassical Scattering
  • Chapter 21. The Classical-to-Semiclassical Connection
  • Chapter 22. The WKB(J) Approximation Revisited
  • Chapter 23. A Sturm-Liouville Equation: The Time-Independent One-Dimensional Schrödinger Equation
  • Part V. Special Topics in Scattering Theory
  • Chapter 24. The S-Matrix and Its Analysis
  • Chapter 25. The Jost Solutions: Technical Details
  • Chapter 26. One-Dimensional Jost Solutions: The S-Matrix Revisited
  • Chapter 27. Morphology-Dependent Resonances: The Effective Potential
  • Chapter 28. Back Where We Started
  • Appendices
  • Bibliography
  • Index

Similar Items