AbstractsMathematics

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.