Step into a rigorous, practical approach to solving transient electromagnetic problems with integral equations.
A clear path from Maxwell’s laws to computable solutions.
This book derives the electric and magnetic fields in free space from Maxwell’s equations and builds a practical toolkit around Green’s functions, boundary conditions, and integral representations. It emphasizes how causality and Green’s functions enable time-stepping methods and numerical computations without large matrix inversions. You’ll find detailed treatment of potentials, four-dimensional formalism, and the role of boundary surfaces in shaping the fields.
- Explore how integral equations for E and B arise from Green’s functions and the Lorentz gauge.
- Learn how boundary conditions and surface currents affect field solutions and how to handle scattering problems.
- See how time-varying fields can be treated with stepping-in-time methods and how this contrasts with frequency-domain approaches.
- Review the mathematical groundwork, including Green’s theorems, vector identities, and the use of dyadic Green functions.
Ideal for readers of electromagnetic theory, computational electromagnetics, and applied math who want a solid, accessible path from theory to numerical methods.