Study Notes in Electromagnetic NDE

Chapter 1: Magnetic Field due to Electric Current

Magnetic field H is defined in relation to dynamic charge: charge in motion and spin. It is not defined in terms of measurable physical properties of the field such as magnetic force, induced emf, the output of a magnetic field sensor since these all depend on the magnetic flux density vector B which is quite a different quantity. It may come as something of a surprise but the magnetic field itself is not directly observable. It is nothing more and nothing less than a mathematical extension into the surrounding space of electric charge in motion. Although the magnetic field does not reveal itself directly, it is manifest through its constitutive relationship with magnetic flux.

Chapter 2: Flaw Fields in 2D and Complex Functions

Chapter 3: Induce Current

Chapter 4: Probe Fields

Chapter 5: Integral Methods for Scalar Boundary Value Problems

In 1828, at the age of 35, George Green published his first paper "An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism". He was told that not reputable journal would publish his work due to his modest status in society: he was the son of a baker and miller with little formal schooling. However,  he published the essay himself and although it was largely largely ignored in his lifetime, texts on field theory today abound with references to Green's functions.

Chapter 6: Dyadic Green's Functions in Electromagnetic NDE

The title of Chapter 6 draws on the remarkable work of Chen-To Tai who began his long career with a BSc in Physics from Tsing Hua University, Beijing, China in 1937 and is currently Emeritus Professor of Electrical Engineering and Computer Science at the University of Michigan. Two books by Tai, one called Dyadic Green's Functions in Electromagnetic Theory,  have taught the electromagnetism community how to formulated their scattering problems using integrals with dyadic kernels.

Green's Mill Sneinton

Chen-To Tai