INTEGRAL EQUATIONS ON ELECTROMAGNETIC COUPLING TO A WIRE THROUGH AN APERTURE.

A set of integral equations is derived for a coupling problem in which a wire is energized by an electromagnetic wave through an aperture of a narrow slot. In order to facilitate the numerical treatment, the kernels of the integral equations are simplified so that neither derivatives nor integrals are contained. Typical examples, including a finite and an infinite wire are analyzed using the present integral equations. The currents on the wires and the axial distributions of the slot magnetic currents are demonstrated. It is found that the current induced on the infinite wire is characterized by a traveling wave which does not decay and a wave which dies out rapidly as it travels along the wire.