Waves with Power-Law Attenuation
This book integrates concepts from physical acoustics with those from linear viscoelasticity and fractional linear viscoelasticity. Compressional waves and shear waves in applications such as medical ultrasound, elastography, and sediment acoustics often follow power law attenuation and dispersion l...
| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2019, 2019
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| Edition: | 1st ed. 2019 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- Acknowledgements
- About the Author
- List of Symbols
- List of Figures
- List of Tables
- 1 Introduction
- Part I Acoustics and Linear Viscoelasticity
- 2 Classical Wave Equations
- 3 Models of Linear Viscoelasticity
- 4 Absorption Mechanisms and Physical Constraints
- Part II Modeling of Power-Law Media
- 5 Power-Law Wave Equations from Constitutive Equations
- 6 Phenomenological Power-Law Wave Equations
- 7 Justification for Power Laws and Fractional Models
- 8 Power Laws and Porous Media
- 9 Power Laws and Fractal Scattering Media
- Appendix A Mathematical Background
- Appendix B Wave and Heat Equations
- Index