Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- 1 Introduction to tensors and dyadics
- 2 Deformation. Strain and rotation tensors
- 3 The stress tensor
- 4 Linear elasticity – the elastic wave equation
- 5 Scalar and elastic waves in unbounded media
- 6 Plane waves in simple models with plane boundaries
- 7 Surface waves in simple models – dispersive waves
- 8 Ray theory
- 9 Seismic point sources in unbounded homogeneous media
- 10 The earthquake source in unbounded media
- 11 Anelastic attenuation
- Hints
- Appendices
- A Introduction to the theory of distributions
- B The Hilbert transform
- C Green's function for the 3-D scalar wave equation
- D Proof of (9.5.12)
- E Proof of (9.13.1)
- Bibliography
- Index
E - Proof of (9.13.1)
from Appendices
Published online by Cambridge University Press: 12 November 2009
- Frontmatter
- Contents
- Preface
- Acknowledgements
- 1 Introduction to tensors and dyadics
- 2 Deformation. Strain and rotation tensors
- 3 The stress tensor
- 4 Linear elasticity – the elastic wave equation
- 5 Scalar and elastic waves in unbounded media
- 6 Plane waves in simple models with plane boundaries
- 7 Surface waves in simple models – dispersive waves
- 8 Ray theory
- 9 Seismic point sources in unbounded homogeneous media
- 10 The earthquake source in unbounded media
- 11 Anelastic attenuation
- Hints
- Appendices
- A Introduction to the theory of distributions
- B The Hilbert transform
- C Green's function for the 3-D scalar wave equation
- D Proof of (9.5.12)
- E Proof of (9.13.1)
- Bibliography
- Index
Summary
- Type
- Chapter
- Information
- Elastic Wave Propagation and Generation in Seismology , pp. 428 - 430Publisher: Cambridge University PressPrint publication year: 2003