Abstract:
The electromagnetic field produced by a line current oriented
parallel to the edges of two perfectly conducting parallel half
planes is considered. Maxwell's equations reduce to a single wave
equation involving only one component of the electric field. Moreover
the value of the field is zero on the two half planes. The
problem is reduced to the determination of the current distributions
on the two half planes. This leads to two integral equations
of the Wiener-Hopf type.
For the solution of these integral equations standard techniques
are used.