Wiener-Hopf analysis of a rectangular slot antenna

The paper presents an effective analytical approach in order to perform the analysis of the electromagnetic behavior of a rectangular slot antenna by a suitable application of the Wiener-Hopf technique in the spectral domain. The key issue is to obtain a closed form solution to the considered problem through the development of a general analytical approach that can be applied even for considering the possible presence of any kind of linear stratified structure as loading medium of the rectangular slot in both the semivolumes. In order to do that, the double spatial Fourier transform is introduced, leading to a suitable formalism in the spectral domain rephrasing the electromagnetic problem in an equivalent circuit network model problem. The circuit network approach in the spectral domain yields a sort of Wiener-Hopf equation that can be analytically solved, in some cases, through a suitable extended version of the Wiener-Hopf approach, or numerically faced and interactively solved with the requested accuracy through the method of moments in the spectral domain.