Abstract
The problem of a slot radiator backed by a Gaussian cavity is analyzed. The fields in the cavity are expressed in terms of Gauss–Hermite functions whose orthogonality property is used to obtain the expansion coefficients. An integral equation is derived for the tangential electric field in the slot aperture and entire-domain basis and testing functions are utilized in its numerical evaluation. The restrictions imposed on the cavity dimensions by the wave beam assumptions are discussed and the equation for the surface of the cavity backwall is given. Finally, typical numerical results for the voltage distribution along the slot aperture are presented for the cases of symmetric and skew-symmetric excitations.
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