An Integral Equation for the Interior Electromagnetic Field of a Semi-Infinite Cylindrical Waveguide in a Conducting Half-Space Excited by a Normally Incident Plane Wave.

摘要

An integral expression for the electromagnetic field inside a semi-infinite cylindrical waveguide flanged by a perfectly conducting plane resulting from a plane wave excitation is derived using a dyadic Green's function approach. The exterior magnetic field is expressed in terms of the magnetic field which would be present in the absence of an aperture and a surface integral over the aperture which involves the aperture electric field and the dyadic Green's function. The interior magnetic field is expressed solely in terms of an integral over the aperture that involves the aperture electric field and the appropriate Green's dyad for the semi-infinite cylindrical waveguide. Continuity of the tangential magnetic field in the aperture leads to an integral equation for the aperture electric field. All appropriate dyadic Green's functions have been constructed by applying the superposition theorem and boundary conditions to known dyadic Green's functions for ideal geometries. (Author)