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E Formulation of Some Special Electromagnetic Boundary Problems

The most common scattering problems of electromagnetics were stated in Section 3.4. Some of the more specialized problems are given in this Appendix.

E.1 LINEAR CYLINDRICAL (WIRE) ANTENNAS

Because they can serve in either a transmitting or receiving mode, antenna problems are a rather special mixture of radiation and scattering type problems.¹ We will assume for simplicity that the antenna structure is embedded in otherwise infinite, uniform free space.

E.1.1 TRANSMITTING MODE

We consider first an idealized transmitting antenna as shown in Figure E.1. The antenna itself is a thin tubular perfect conductor of radius a and length 2l driven by an ideal voltage source ...

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