Appendix D

Derivation of EFIE From the Vector Analog of Green's Theorem

In case of unbounded free-space, the electric and magnetic fields due to some radiating sources are relatively straightforward to determine using (A.9) and (A.10), respectively. However, due to the presence of a material body, the fields are perturbed, resulting in a significantly more complex problem, as it is required to satisfy the boundary conditions at the interface between the two regions.

One possible way of solving such a problem is to use the integral approach, where the field at a particular point in space is linked to all sources enclosed within the problem domain but also to some external sources taken into account via their resulting fields on the boundary surface. ...

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