On the Mathematical Theory of Electromagnetic Radiation from Flanged Waveguides

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Abstract
A mathematical technique particularly suited to describing the electromagnetic radiation from open‐ended waveguide structures is discussed. As an example of the utility of the method, the exact solutions, for both wave polarizations corresponding to a uniform line source embedded in a dielectric filled slot in a ground plane, are given. The edge condition is used to estimate and partially correct for the truncation error resulting from approximating the infinite system of linear equations by a finite one. The truncation corrected field expressions are shown to recover the proper local field behavior in the vicinity of the aperture perimeter. Some numerical results, for both aperture and radiation fields are given and in the latter case compared with the Kirchhoff approximation to the radiation field.

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