Wiener-Hopf Analysis of a Rectangular Slot Antenna R.E. Zich (1) , D. Monopoli1 (1) , V. Daniele (2) (1) Dipartimento di Elettrotecnica, Politecnico di Milano, P.zza L. da Vinci 32, 20133 Milano, Italy, e-mail riccardo.zich@polimi.it (2) Dipartimento di Elettronica, Politecnico di Torino, C. Duca degli Abruzzi 24, 10129 Torino, Italy, e-mail: daniele@polito.it Abstract: The aim of this paper is to present 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 iteractively solved with the requested accuracy through the Method of Moments in the spectral domain. Introduction The problem here addressed is the rectangular slot antenna problem. The analysis of the electromagnetic behavior of this class of structures is particularly important for what concerns both antenna design and electromagnetic compatibility issues, since the slot antenna diffraction problem is analogous to, e.g., the evaluation of the shielding effectiveness of metallic perfored shields. In fact, the shielding effectiveness that can be obtained by the introduction of a solid metallic shield, without any aperture, is extremely high, but unfortunately this is only a very ideal option since any real shielding enclosures presents, for different practical reasons, apertures, gaskets and other weak elements that affect dramatically the shielding effectiveness of the whole structure so that it is possible to say that the shielding effectiveness of a shielding structure is substantially determined by these weak Fig. 1. The considered geometry. 0-7803-8883-6/05/$20.00 ©2005 IEEE