Presenting a comprehensive introduction to the propagation of high-frequency body-waves in elastodynamics, this volume develops the theory of seismic wave propagation in acoustic, elastic and anisotropic media to allow seismic waves to be modelled in complex, realistic three-dimensional Earth models. The book is a text for graduate courses in theoretical seismology, and a reference for all academic and industrial seismologists using numerical modelling methods. Exercises and suggestions for further reading are included in each chapter.
Preface; Preliminaries; Nomenclature; Symbols; Special functions; Canonical signals; 1. Introduction; 2. Basic wave propagation; 3. Transforms; 4. Review of continuum mechanics and elastic waves; 5. Asymptotic ray theory; 6. Rays at an interface; 7. Differential systems for stratified media; 8. Inverse transforms for stratified media; 9. Canonical signals; 10. Generalizations of ray theory; Appendix A. Useful integrals; Appendix B. Useful Fourier transforms; Appendix C. Ordinary differential equations; Appendix D. Saddle-point methods; Bibliography; Author index; Subject index.