Features
- Includes a brief description of the theory of acoustic and electromagnetic fields
- Presents the mathematical foundations of ultrasonic nondestructive testing of materials
- Uses a coordinate-free notation that is clearer than index notation

Summary
This book features a comprehensive discussion of the mathematical foundations of ultrasonic nondestructive testing of materials. The authors include a brief description of the theory of acoustic and electromagnetic fields to underline the similarities and differences with respect to elastodynamics. They also cover vector, elastic plane, and Rayleigh surface waves as well as ultrasonic beams, inverse scattering, and ultrasonic nondestructive imaging. A coordinate-free notation system is used that is easier to understand and navigate than standard index notation.

Table of Contents
Contents
Mathematical Foundations
Governing Equations of Elastodynamics
Constitutive Equations; Governing Equations; Elastodynamic Energy Conservation
Acoustics
Electromagnetism
Vector Wave Equations
Elastic Plane Waves in Homogeneous Materials
Reflection, Transmission and Mode Conversion of Elastic Plane Waves at Planar Boundaries between Homogeneous Non-Dissipative Materials
Rayleigh Surface Waves
Plane Wave Spatial Spectrum
Ultrasonic Beams and Wave Packets
Point Sources in Homogeneous Isotropic Infinite Space; Elastodynamic Source Fields
Force Density and Dilatation Rate Sources on Surfaces of Homogeneous Isotropic Half-Spaces; Radiation Fields of Piezoelectric Transducers
Scatterers in Homogeneous Isotropic Non-Dissipative Infinite Spaces
Inverse Scattering: US-NDT Imaging